2003 · Shift 0

182 questions · JEE Main

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2003 · Shift 0

2003 · Shift 0

182 questions · JEE Main

Chemistry64 questions Mathematics54 questions Physics64 questions

Q1.Which one of the following statements is not true?
Chemistry · Ionic Equilibrium · MCQ
Q2.The internal energy change when a system goes from state A to B is 40 kJ/mole. If the system goes from A to B by a reversible path and returns to state A by an irreversible path what would be the net change in internal energy?
Chemistry · Thermodynamics · MCQ
Q3.If at 298 K the bond energies of C - H, C - C, C = C and H - H bonds are respectively 414, 347, 615 and 435 kJ/mol, the value of enthalpy change for the reaction $H_{2} C = C H_{2}$ (g) + $H_{2}$ (g) $\to$ $H_{3} C - C H_{3}$ (g) at 298 K will be :
Chemistry · Thermodynamics · MCQ
Q4.In an irreversible process taking place at constant T and P and in which only pressure-volume work is being done, the change in Gibbs free energy (dG) and change in entropy (dS), satisfy the criteria :
Chemistry · Thermodynamics · MCQ
Q5.The correct relationship between free energy change in a reaction and the corresponding equilibrium constant Kc is :
Chemistry · Thermodynamics · MCQ
Q6.The enthalpy change for a reaction does not depend upon :
Chemistry · Thermodynamics · MCQ
Q7.The solubility in water of a sparingly soluble salt $A B_{2}$ is 1.0 $\times$ 10-5 mol L-1. Its solubility product number will be :
Chemistry · Ionic Equilibrium · MCQ
Q8.Consider the reaction equilibrium 2 $S O_{2}$ (g) + $O_{2}$ (g) $⇋$ 2 $S O_{3}$ (g); $Δ H^{o}$ = -198 kJ One the basis of Le Chatelier's principle, the condition favourable for the forward reaction is :
Chemistry · Chemical Equilibrium · MCQ
Q9.For the reaction equilibrium $N_{2} O_{4}$ (g) $⇋$ 2 $N O_{2}$ (g) the concentrations of $N_{2} O_{4}$ and $N O_{2}$ at equilibrium are 4.8 $\times$ 10-2 and 1.2 $\times$ 10-2 mol L-1 respectively. The value of Kc for the reaction is
Chemistry · Chemical Equilibrium · MCQ
Q10.When rain is accompanied by a thunderstorm, the collected rain water will have a pH value :
Chemistry · Ionic Equilibrium · MCQ
Q11.The IUPAC name of $C H_{3} C O C H (C H_{3})_{2}$ is
Chemistry · Basics of Organic Chemistry · MCQ
Q12.In the anion HCOO $-$ the two carbon-oxygen bonds are found to be of equal length. What is the reason for it?
Chemistry · Basics of Organic Chemistry · MCQ
Q13.The general formula $C_{n} H_{2 n} O_{2}$ could be for open chain
Chemistry · Basics of Organic Chemistry · MCQ
Q14.On mixing a certain alkane with chlorine and irradiating it with ultravioletlight, it forms only one monochloroalkane. This alkane could be
Chemistry · Hydrocarbons · MCQ
Q15.Butene-1 may be converted to butane by reaction with
Chemistry · Hydrocarbons · MCQ
Q16.During dehydration of alcohols to alkenes by heating with conc. $H_{2} S O_{4}$ the initiation step is
Chemistry · Alcohols Phenols and Ethers · MCQ
Q17.When $C H_{2}$ = $C H$ - $C O O H$ is reduced with $L i A l H_{4}$ , the compound obtained will be
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q18.The correct order of increasing basic nature for the bases $N H_{3}$ , $C H_{3} N H_{2}$ and $(C H_{3})_{2} N H$ is
Chemistry · Compounds Containing Nitrogen · MCQ
Q19.Ethyl isocyanide on hydrolysis in acidic medium generates
Chemistry · Compounds Containing Nitrogen · MCQ
Q20.Complete hydrolysis of cellulose gives
Chemistry · Biomolecules · MCQ
Q21.Which one of the following statements is correct?
Chemistry · D and F Block Elements · MCQ
Q22.Bottles containing $C_{6} H_{5} l$ and $C_{6} H_{5} C H_{2} I$ lost their original labels. They were labelled A and B for testing A and B were separately taken in test tubes and boiled with $N a O H$ solution. The end solution in each tube was made acidic…
Chemistry · Haloalkanes and Haloarenes · MCQ
Q23.Among the following four structures $i$ to $i v,$ it is true that Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q24.The reduction in atomic size with increase in atomic number is a characteristic of elements of
Chemistry · Periodic Table and Periodicity · MCQ
Q25.The atomic numbers of Vanadium (V), Chromium (cr), Manganese (Mn) and Iron (Fe), respectively, $23, 24, 25$ and $26$ . Which one of these may be expected to have the higher second ionization enthalpy?
Chemistry · Periodic Table and Periodicity · MCQ
Q26.The reaction of chloroform with alcoholic $K O H$ and p-toluidine forms
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q27.The reason for double helical structure of $D N A$ is operation of
Chemistry · Biomolecules · MCQ
Q28.A red solid is insolvable in water. However it becomes soluble if some $K I$ is added to water. Heating the red solid in a test tube results in liberation of some violet colored fumes and droplets of a metal appear on the cooler parts…
Chemistry · D and F Block Elements · MCQ
Q29.Which one of the following substances has the highest proton affinity?
Chemistry · P Block Elements · MCQ
Q30.A pressure cooker reduces cooking time for food because
Chemistry · Solutions · MCQ
Q31.In a 0.2 molal aqueous solution of a weak acid HX the degree of ionization is 0.3. Taking kf for water as 1.85, the freezing point of the solution will be nearest to
Chemistry · Solutions · MCQ
Q32.If liquids A and B form an ideal solution
Chemistry · Solutions · MCQ
Q33.For a cell reaction involving a two-electron change, the standard e.m.f. of the cell is found to be 0.295 V at 25oC. The equilibrium constant of the reaction at 25oC will be
Chemistry · Electrochemistry · MCQ
Q34.Standard reduction electrode potentials of three metals A,B&C are respectively +0.5 V, -3.0 V & -1.2 V. The reducing, powers of these metals are
Chemistry · Electrochemistry · MCQ
Q35.When during electrolysis of a solution of $A g N O_{3}$ , 9650 coulombs of charge pass through the electroplating bath, the mass of silver deposited on the cathode will be :
Chemistry · Electrochemistry · MCQ
Q36.For the redox reaction $Z n$ (s) + $C u^{2 +}$ (0.1 M) $\to$ $Z n^{2 +}$ (1M) + $C u$ (s) taking place in a cell, $E_{ce l l}^{o}$ is 1.10 volt. Ecell for the cell will be ( $2.303 \frac{R T}{F}$ = 0.0591)
Chemistry · Electrochemistry · MCQ
Q37.Several blocks of magnesium are fixed to the bottom of a ship to :
Chemistry · Electrochemistry · MCQ
Q38.The radionucleide $_{90}^{234} T h$ undergoes two successive $β$ -decays followed by one $α$ -decay. The atomic number and the mass number respectively of the resulting radionucleide are
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q39.The half-life of a radioactive isotope is three hours. If the initial mass of the isotope were 256 g, the mass of it remaining undecayed after 18 hours would be
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q40.In respect of the equation k = Ae-Ea/RT in chemical kinetics, which one of the following statements is correct?
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q41.The rate law for a reaction between the substances A and B is given by Rate = k[A]n [B]m On doubling the concentration of A and halving the concentration of B, the ratio of the new rate to the earlier rate of the reaction will be as
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q42.For the reaction system: 2 $N O$ (g) + $O_{2}$ (g) $\to$ 2 $N O_{2}$ (g) volume is suddenly reduce to half its value by increasing the pressure on it. If the reaction is of first order with respect to $O_{2}$ and second order with respect to $N O$ , the…
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q43.For making good quality mirrors, plates of float glass are used. These are obtained by floating molten glass over a liquid metal which does not solidify before glass. The metal used can be :
Chemistry · D and F Block Elements · MCQ
Q44.Glass is a :
Chemistry · P Block Elements · MCQ
Q45.What would happen when a solution of potassium chromate is treated with an excess of dilute nitric acid?
Chemistry · D and F Block Elements · MCQ
Q46.Which one of the following nitrates will leave behind a metal on strong heating?
Chemistry · D and F Block Elements · MCQ
Q47.The atomic numbers of vanadium (V), Chromium (Cr), manganese (Mn) and iron (Fe) are respectively 23, 24, 25 and 26. Which one of these may be expected to have the highest second ionization enthalpy?
Chemistry · D and F Block Elements · MCQ
Q48.The radius of $L a^{3 +}$ (Atomic number of La = 57) is 1.06 Å. Which one of the following given values will be closest to the radius of $L u^{3 +}$ (Atomic number of Lu = 71) ?
Chemistry · D and F Block Elements · MCQ
Q49.Ammonia forms the complex ion $[C u (N H_{3})_{4}]^{2 +}$ with copper ions in alkaline solutions but not in acidic solutions. What is the reason for it?
Chemistry · Coordination Compounds · MCQ
Q50.One mole of the complex compound $C o (N H_{3})_{5} C l_{3}$ , gives 3 moles of ions on dissolution in water. One mole of the same complex reacts with two moles of $A g N O_{3}$ solution to yield two moles of $A g C l$ (s). The structure of the complex is :
Chemistry · Coordination Compounds · MCQ
Q51.In the coordination compound, $K_{4} [N i (C N)_{4}]$ , the oxidation state of nickel is :
Chemistry · Coordination Compounds · MCQ
Q52.Which one of the following compounds has the smallest bond angle in its molecule?
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q53.What volume of hydrogen gas at 273 K and 1 atm pressure will be consumed in obtaining 21.6 g of elemental boron (atomic mass = 10.8) from the reduction of boron trichloride by hydrogen?
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q54.25 ml of a solution of barium hydroxide on titration with a 0.1 molar solution of hydrochloric acid gave a litre value of 35 ml. The molarity of barium hydroxide solution was
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q55.The number of d-electrons retained in $F e^{2 +}$ (At no of Fe = 26) ion is :
Chemistry · D and F Block Elements · MCQ
Q56.The orbital angular momentum for an electron revolving in an orbit is given by $l (l + 1) \frac{h}{2 π}$ . This momentum for an s-electron will be given by
Chemistry · Structure of Atom · MCQ
Q57.Which one of the following groupings represents a collection of isoelectronic species? (At. nos. : Cs : 55, Br : 35)
Chemistry · Structure of Atom · MCQ
Q58.In Bohr series of lines of hydrogen spectrum, the third line from the red end corresponds to which one of the following inter-orbit jumps of the electron for Bohr orbits in an atom of hydrogen
Chemistry · Structure of Atom · MCQ
Q59.The de Broglie wavelength of a tennis ball of mass 60 g moving with a velocity of 10 meters per second is approximately
Chemistry · Structure of Atom · MCQ
Q60.According to the Periodic Law of elements, the variation in properties of elements is related to their
Chemistry · Periodic Table and Periodicity · MCQ
Q61.Which one of the following is an amphoteric oxide?
Chemistry · Periodic Table and Periodicity · MCQ
Q62.An ethar is more volatile than an alcohol having the same molecular formula. This is due to
Chemistry · Alcohols Phenols and Ethers · MCQ
Q63.Which one of the following pairs of molecules will have permanent dipole moments for both members
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q64.The pair of species having identical shapes for molecules of both species is
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q65.The value of $x \to 0 lim \frac{0 \int x ^{2} s e c ^{2} t d t}{x s in x}$ is
Mathematics · Definite Integration · MCQ
Q66.The function $f (x) = lo g (x + x^{2} + 1)$ , is
Mathematics · Functions · MCQ
Q67.A function $f$ from the set of natural numbers to integers defined by $f (n) = {\frac{n - 1}{2}, w h e n n i s o dd - \frac{n}{2}, w h e n n i s e v e n$ is
Mathematics · Functions · MCQ
Q68.If $f : R \to R$ satisfies $f$ (x + y) = $f$ (x) + $f$ (y), for all x, y $\in$ R and $f$ (1) = 7, then $r = 1 \sum n f (r)$ is
Mathematics · Functions · MCQ
Q69.Domain of definition of the function f(x) = $\frac{3}{4 - x ^{2}}$ + $lo g_{10} (x^{3} - x)$ , is
Mathematics · Functions · MCQ
Q70.If $x \to 0 lim \frac{l o g ( 3 + x ) - l o g ( 3 - x )}{x}$ = k, the value of k is
Mathematics · Limits Continuity and Differentiability · MCQ
Q71.Let $f (a) = g (a) = k$ and their nth derivatives $f^{n} (a)$ , $g^{n} (a)$ exist and are not equal for some n. Further if $x \to a lim \frac{f ( a ) g ( x ) - f ( a ) - g ( a ) f ( x ) + f ( a )}{g ( x ) - f ( x )} = 4$ then the value of k is
Mathematics · Limits Continuity and Differentiability · MCQ
Q72. $x \to \frac{π}{2} lim \frac{[ 1 - t a n ( \frac{x}{2} ) ] [ 1 - s i n x ]}{[ 1 + t a n ( \frac{x}{2} ) ] [ π - 2 x ] ^{3}}$ is
Mathematics · Limits Continuity and Differentiability · MCQ
Q73.If $f (x) = {x e^{- (\frac{1}{∣ x ∣} + \frac{1}{x})} 0, x e 0, x = 0$ then $f (x)$ is
Mathematics · Limits Continuity and Differentiability · MCQ
Q74.In an experiment with 15 observations on $x$ , then following results were available: $\sum x^{2} = 2830$ , $\sum x = 170$ One observation that was 20 was found to be wrong and was replaced by the correct value 30. Then the corrected…
Mathematics · Statistics · MCQ
Q75.The median of a set of 9 distinct observations is 20.5. If each of the largest 4 observations of the set is increased by 2, then the median of the new set :
Mathematics · Statistics · MCQ
Q76.Five horses are in a race. Mr. A selects two of the horses at random and bets on them. The probability that Mr. A selected the winning horse is :
Mathematics · Probability · MCQ
Q77.The trigonometric equation $sin^{- 1} x = 2 sin^{- 1} a$ has a solution for :
Mathematics · Inverse Trigonometric Functions · MCQ
Q78.If the function $f (x) = 2 x^{3} - 9 a x^{2} + 12 a^{2} x + 1,$ where $a > 0,$ attains its maximum and minimum at $p$ and $q$ respectively such that $p^{2} = q$ , then $a$ equals
Mathematics · Application of Derivatives · MCQ
Q79.If $A = [a b b a]$ and $A^{2} = [α β β α]$ , then
Mathematics · Matrices and Determinants · MCQ
Q80.If $1, ω, ω^{2}$ are the cube roots of unity, then $Δ = 1 ω^{n} ω^{2 n} ω^{n} ω^{2 n} 1 ω^{2 n} 1 ω^{n}$ …
Mathematics · Matrices and Determinants · MCQ
Q81.If the system of linear equations $x + 2 a y + a z = 0; x + 3 b y + b z = 0; x + 4 cy + cz = 0;$ has a non - zero solution, then $a, b, c$ .
Mathematics · Matrices and Determinants · MCQ
Q82.The area of the region bounded by the curves $y = ∣ x - 1 ∣$ and $y = 3 - ∣ x ∣$ is :
Mathematics · Area Under the Curves · MCQ
Q83.Let $f (x)$ be a function satisfying $f^{'} (x) = f (x)$ with $f (0) = 1$ and $g (x)$ be a function that satisfies $f (x) + g (x) = x^{2}$ . Then the value of the integral $0 \int 1 f (x) g (x) d x,$ …
Mathematics · Definite Integration · MCQ
Q84.If $f (a + b - x) = f (x)$ then $a \int b x f (x) d x$ is equal to
Mathematics · Definite Integration · MCQ
Q85.The value of the integral $I = 0 \int 1 x (1 - x)^{n} d x$ is
Mathematics · Definite Integration · MCQ
Q86.The solution of the differential equation $(1 + y^{2}) + (x - e^{t a n^{- 1} y}) \frac{d y}{d x} = 0,$ is :
Mathematics · Differential Equations · MCQ
Q87.The degree and order of the differential equation of the family of all parabolas whose axis is $x$ -axis, are respectively.
Mathematics · Differential Equations · MCQ
Q88.Events $A, B, C$ are mutually exclusive events such that $P (A) = \frac{3 x + 1}{3}, P (B) = \frac{1 - x}{4}$ and $P (C) = \frac{1 - 2 x}{2}$ The set of possible values of $x$ are in the interval.
Mathematics · Probability · MCQ
Q89.If $a \times b = b \times c = c \times a$ then $a + b + c =$
Mathematics · Vector Algebra · MCQ
Q90.Let $u = i + j, v = i - j$ and $w = i + 2 j + 3 k .$ If $n$ is a unit vector such that $u . n = 0$ …
Mathematics · Vector Algebra · MCQ
Q91.The vectors $A B = 3 i + 4 k & A C = 5 i - 2 j + 4 k$ are the sides of triangle $A B C .$ The length of the median through $A$ is :
Mathematics · Vector Algebra · MCQ
Q92.The two lines $x = a y + b, z = cy + d$ and $x = a^{'} y + b^{'}, z = c^{'} y + d^{'}$ will be perpendicular, if and only if :
Mathematics · 3D Geometry · MCQ
Q93.The lines $\frac{x - 2}{1} = \frac{y - 3}{1} = \frac{z - 4}{- k}$ and $\frac{x - 1}{k} = \frac{y - 4}{2} = \frac{z - 5}{1}$ are coplanar if :
Mathematics · 3D Geometry · MCQ
Q94. $a, b, c$ are $3$ vectors, such that $a + b + c = 0$ , $a = 1 b = 2, c = 3,$ …
Mathematics · Vector Algebra · MCQ
Q95.A tetrahedron has vertices at $O (0, 0, 0), A (1, 2, 1) B (2, 1, 3)$ and $C (- 1, 1, 2) .$ Then the angle between the faces $O A B$ and $A B C$ will be :
Mathematics · Vector Algebra · MCQ
Q96.If $a b c a^{2} b^{2} c^{2} 1 + a^{3} 1 + b^{3} 1 + c^{3} = 0$ and vectors $(1, a, a^{2}), (1, b, b^{2})$ …
Mathematics · Vector Algebra · MCQ
Q97.Consider points $A, B, C$ and $D$ with position vectors $7 i - 4 j + 7 k, i - 6 j + 10 k, - i - 3 j + 4 k$ and $5 i - j + 5 k$ …
Mathematics · Vector Algebra · MCQ
Q98.Let $Z_{1}$ and $Z_{2}$ be two roots of the equation $Z^{2} + a Z + b = 0$ , Z being complex. Further , assume that the origin, $Z_{1}$ and $Z_{2}$ form an equilateral triangle. Then :
Mathematics · Complex Numbers · MCQ
Q99.If $(\frac{1 + i}{1 - i})^{x} = 1$ then :
Mathematics · Complex Numbers · MCQ
Q100.If the sum of the roots of the quadratic equation $a x^{2} + b x + c = 0$ is equal to the sum of the squares of their reciprocals, then $\frac{a}{c}, \frac{b}{a}$ and $\frac{c}{b}$ are in
Mathematics · Quadratic Equation and Inequalities · MCQ
Q101.The value of ' $a$ ' for which one root of the quadratic equation $(a^{2} - 5 a + 3) x^{2} + (3 a - 1) x + 2 = 0$ is twice as large as the other is
Mathematics · Quadratic Equation and Inequalities · MCQ
Q102.The number of real solutions of the equation $x^{2} - 3 ∣ x ∣ + 2 = 0$ is
Mathematics · Quadratic Equation and Inequalities · MCQ
Q103.The real number $x$ when added to its inverse gives the minimum sum at $x$ equal :
Mathematics · Application of Derivatives · MCQ
Q104.If $x$ is positive, the first negative term in the expansion of $(1 + x)^{27/5}$ is
Mathematics · Binomial Theorem · MCQ
Q105.A student is to answer 10 out of 13 questions in an examination such that he must choose at least 4 from the first five questions. The number of choices available to him is
Mathematics · Permutations and Combinations · MCQ
Q106.The number of integral terms in the expansion of $(3 + 85)^{256}$ is
Mathematics · Binomial Theorem · MCQ
Q107.The number of ways in which 6 men and 5 women can dine at a round table if no two women are to sit together is given by
Mathematics · Permutations and Combinations · MCQ
Q108.If $^{n} C_{r}$ denotes the number of combination of n things taken r at a time, then the expression $^{n} C_{r + 1} +^{n} C_{r - 1} + 2 \times^{n} C_{r}$ equals
Mathematics · Permutations and Combinations · MCQ
Q109.A square of side a lies above the $x$ -axis and has one vertex at the origin. The side passing through the origin makes an angle $α (0 < α < \frac{π}{4})$ with the positive direction of x-axis. The equation…
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q110.Locus of centroid of the triangle whose vertices are $(a cos t, a sin t), (b sin t, - b cos t)$ and $(1, 0),$ where $t$ is a parameter, is :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q111.If $x_{1}, x_{2}, x_{3}$ and $y_{1}, y_{2}, y_{3}$ are both in G.P. with the same common ratio, then the points $(x_{1}, y_{1}), (x_{2}, y_{2})$ and $(x_{3}, y_{3})$ :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q112.If the equation of the locus of a point equidistant from the point $(a_{1,} b_{1})$ and $(a_{2,} b_{2})$ is $(a_{1} - a_{2}) x + (b_{1} - b_{2}) y + c = 0$ , then the value…
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q113.The lines 2x - 3y = 5 and 3x - 4y = 7 are diameters of a circle having area as 154 sq. units. Then the equation of the circle is :
Mathematics · Circle · MCQ
Q114.The foci of the ellipse $\frac{x ^{2}}{16} + \frac{y ^{2}}{b ^{2}} = 1$ and the hyperbola $\frac{x ^{2}}{144} - \frac{y ^{2}}{81} = \frac{1}{25}$ coincide. Then the value of $b^{2}$ is :
Mathematics · Hyperbola · MCQ
Q115.If $f (y) = e^{y}, g (y) = y; y > 0$ and $F (t) = 0 \int t f (t - y) g (y) d y,$ then :
Mathematics · Definite Integration · MCQ
Q116.If $f (x) = x^{n},$ then the value of $f (1) - \frac{f ^{'} ( 1 )}{1 !} + \frac{f ^{''} ( 1 )}{2 !} - \frac{f ^{'''} ( 1 )}{3 !} + .......... \frac{( - 1 ) ^{n} f ^{n} ( 1 )}{n !}$ …
Mathematics · Differentiation · MCQ
Q117.Let $f (x)$ be a polynomial function of second degree. If $f (1) = f (- 1)$ and $a, b, c$ are in $A . P,$ then $f^{'} (a), f^{'} (b), f^{'} (c)$ are in
Mathematics · Differentiation · MCQ
Q118.If $z$ and $ω$ are two non-zero complex numbers such that $∣ z ω ∣ = 1$ and $A r g (z) - A r g (ω) = \frac{π}{2},$ then $\overline{z} ω$ is equal to
Mathematics · Complex Numbers · MCQ
Q119.The wavelengths involved in the spectrum of deuterium $(_{1}^{2} D)$ are slightly different from that of hydrogen spectrum, because
Physics · Atoms and Nuclei · MCQ
Q120.If the binding energy of the electron in a hydrogen atom is $13.6 e V,$ the energy required to remove the electron from the first excited state of $L i^{++}$ is
Physics · Atoms and Nuclei · MCQ
Q121.Which of the following atoms has the lowest ionization potential ?
Physics · Atoms and Nuclei · MCQ
Q122.Two identical photo-cathodes receive light of frequencies $f_{1}$ and $f_{2}$ . If the velocities of the photo electrons (of mass $m$ ) coming out are respectively $v_{1}$ and $v_{2},$ then
Physics · Dual Nature of Radiation · MCQ
Q123.In the nuclear fusion reaction $_{1}^{2} H +_{1}^{3} H \to_{2}^{4} H e + n$ given that the repulsive potential energy between the two nuclei is $\sim 7.7 \times 1 0^{- 14} J$ , the temperature at which the gases must be heated to initiate the…
Physics · Atoms and Nuclei · MCQ
Q124.In the middle of the depletion layer of a reverse- biased $p$ - $n$ junction, the
Physics · Electronic Devices · MCQ
Q125.When the current changes from $+ 2 A$ to $- 2 A$ in $0.05$ second, an $e . m . f .$ of $8 V$ is inducted in a coil. The coefficient of self- induction of the coil is
Physics · Electromagnetic Induction · MCQ
Q126.The length of a given cylindrical wire is increased by $100%$ . Due to the consequent decrease in diameter the change in the resistance of the wire will be
Physics · Current Electricity · MCQ
Q127.The thermo $e . m . f .$ of a thermo -couple is $25 μ V /^{\circ} C$ at room temperature. A galvanometer of $40 o hm$ resistance, capable of detecting current as low as $1 0^{- 5} A,$ is connected with the thermo couple. The smallest…
Physics · Current Electricity · MCQ
Q128.An ammeter reads upto $1$ ampere. Its internal resistance is $0.81 o hm$ . To increase the range to $10 A$ the value of the required shunt is
Physics · Current Electricity · MCQ
Q129.The nagative $Z n$ pole of a Daniell cell, sending a constant current through a circuit, decreases in mass by $0.13 g$ in $30$ minutes. If the electrochemical equivalent of $Z n$ and $C u$ are $32.5$ and $31.5$ respectively, the increase in…
Physics · Current Electricity · MCQ
Q130.A $3$ volt battery with negligible internal resistance is connected in a circuit as shown in the figure. The current $I$ , in the circuit will be Includes diagram
Physics · Current Electricity · MCQ
Q131.A $220$ volt, $1000$ watt bulb is connected across a $110 v o l t$ mains supply. The power consumed will be
Physics · Current Electricity · MCQ
Q132.A particle of mass $M$ and charge $Q$ moving with velocity $v$ describe a circular path of radius $R$ when subjected to a uniform transverse magnetic field of induction $B .$ The network done by the field when the particle…
Physics · Magnetics · MCQ
Q133.A particle of charge $- 16 \times 1 0^{- 18}$ coulomb moving with velocity $10 m s^{- 1}$ along the $x$ -axis enters a region where a magnetic field of induction $B$ is along the $y$ -axis, and an electric field of magnitude $1 0^{4} V / m$ …
Physics · Magnetics · MCQ
Q134.A magnetic needle lying parallel to a magnetic field requires $W$ units of work to turn it through $6 0^{\circ} .$ The torque needed to maintain the needle in this position will be :
Physics · Magnetic Properties of Matter · MCQ
Q135.The magnetic lines of force inside a bar magnet
Physics · Magnetic Properties of Matter · MCQ
Q136.Two coils are placed close to each other. The mutual inductance of the pair of coils depends upon
Physics · Electromagnetic Induction · MCQ
Q137.In an oscillating $L C$ circuit the maximum charge on the capacitor is $Q$ . The charge on the capacitor when the energy is stored equally between the electric and magnetic field is
Physics · Alternating Current · MCQ
Q138.The core of any transformer is laminated so as to
Physics · Alternating Current · MCQ
Q139.To demonstrate the phenomenon of interference, we require two sources which emit radiation
Physics · Wave Optics · MCQ
Q140.The image formed by an objective of a compound microscope is
Physics · Geometrical Optics · MCQ
Q141.To get three images of a single object, one should have two plane mirrors at an angle of
Physics · Geometrical Optics · MCQ
Q142.A strip of copper and another of germanium are cooled from room temperature to $80 K .$ The resistance of
Physics · Electronic Devices · MCQ
Q143.The difference in the variation of resistance with temperature in a metal and a semiconductor arises essentially due to the difference in the
Physics · Electronic Devices · MCQ
Q144.Three charges $- q_{1}, + q_{2}$ and $- q_{3}$ are placed as shown in the figure. The $x$ -component of the force on $- q_{1}$ is proportional to Includes diagram
Physics · Electrostatics · MCQ
Q145.The earth radiates in the infra-red region of the spectrum. The spectrum is correctly given by
Physics · Heat and Thermodynamics · MCQ
Q146.A particle performing uniform circular motion has angular frequency is doubled & its kinetic energy halved, then the new angular momentum is
Physics · Rotational Motion · MCQ
Q147.Let $F$ be the force acting on a particle having position vector $r,$ and $τ$ be the torque of this force about the origin. Then
Physics · Rotational Motion · MCQ
Q148.A circular disc $X$ of radius $R$ is made from an iron plate of thickness $t,$ and another disc $Y$ of radius $4 R$ is made from an iron plate of thickness $\frac{t}{4} .$ Then the relation between the moment of inertia $I_{X}$ and $I_{Y}$ is
Physics · Rotational Motion · MCQ
Q149.The time period of satellite of earth is $5$ hours. If the separation between the earth and the satellite is increased to $4$ times the previous value, the new time period will become
Physics · Gravitation · MCQ
Q150.Two spherical bodies of mass $M$ and $5 M$ & radii $R$ & $2 R$ respectively are released in free space with initial separation between their centers equal to $12 R$ . If they attract each other due to gravitational force only, then the…
Physics · Gravitation · MCQ
Q151.The escape velocity for a body projected vertically upwards from the surface of earth is $11 k m / s .$ If the body is projected at an angle of $4 5^{\circ}$ with the vertical, the escape velocity will be
Physics · Gravitation · MCQ
Q152.Three forces start acting simultaneously on a particle moving with velocity, $v .$ These forces are represented in magnitude and direction by the three sides of a triangle $A B C$ . The particle will now move with velocity Includes diagram
Physics · Laws of Motion · MCQ
Q153.A horizontal force of $10 N$ is necessary to just hold a block stationary against a wall. The coefficient of friction between the block and the wall is $0.2$ . The weight of the block is Includes diagram
Physics · Laws of Motion · MCQ
Q154.''Heat cannot by itself flow from a body at lower temperature to a body at higher temperature'' is a statement or consequence of :
Physics · Heat and Thermodynamics · MCQ
Q155.During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature. The ratio $C_{p} / C_{V}$ for the gas is
Physics · Heat and Thermodynamics · MCQ
Q156.Which of the following parameters does not characterize the thermodynamic state of mattter?
Physics · Heat and Thermodynamics · MCQ
Q157.A body is moved along a straight line by a machine delivering a constant power. The distance moved by the body in time $^{'} t^{'}$ is proportional to
Physics · Work Power and Energy · MCQ
Q158.A mass $M$ is suspended from a spring of negligible mass. The spring is pulled a little and then released so that the mass executes $S H M$ of time period $T .$ If the mass is increased by $m .$ the time period becomes $\frac{5 T}{3}$ . Then…
Physics · Simple Harmonic Motion · MCQ
Q159.Two particles $A$ and $B$ of equal masses are suspended from two massless springs of spring of spring constant $k_{1}$ and $k_{2}$ , respectively. If the maximum velocities, during oscillation, are equal, the ratio of amplitude of $A$ and $B$ …
Physics · Simple Harmonic Motion · MCQ
Q160.The length of a simple pendulum executing simple harmonic motion is increased by $21%$ . The percentage increase in the time period of the pendulum of increased length is
Physics · Simple Harmonic Motion · MCQ
Q161.A body executes simple harmonic motion. The potential energy $(P . E),$ the kinetic energy $(K . E)$ and total energy $(T . E)$ are measured as a function of displacement $x .$ Which of the following statements is true ?
Physics · Simple Harmonic Motion · MCQ
Q162.The displacement of particle varies according to the relation $x = 4$ $(cos π t + sin π t) .$ The amplitude of the particle is
Physics · Simple Harmonic Motion · MCQ
Q163.A metal wire of linear mass density of $9.8 g / m$ is stretched with a tension of $10 k g$ - $w t$ between two rigid supports $1$ metre apart. The wire passes at its middle point between the poles of a permanent magnet, and it vibrates in…
Physics · Waves · MCQ
Q164.The displacement $y$ of a wave travelling in the $x$ -direction is given by $y = 1 0^{- 4} sin (600 t - 2 x + \frac{π}{3}) m e t r es$ where $x$ is expressed in metres and $t$ in seconds. The speed of the wave - motion, in…
Physics · Waves · MCQ
Q165.A tuning fork of known frequency $256 H z$ makes $5$ beats per second with the vibrating string of a piano. The beat frequency decreases to $2$ beats per second when the tension in the piano string is slightly increased. The frequency of the…
Physics · Waves · MCQ
Q166.A sheet of aluminium foil of negligible thickness is introduced between the plates of a capacitor. The capacitance of the capacitor
Physics · Capacitor · MCQ
Q167.If the electric flux entering and leaving an enclosed surface respectively is $ϕ_{1}$ and $ϕ_{2},$ the electric charge inside the surface will be
Physics · Electrostatics · MCQ
Q168.A thin spherical conducting shell of radius $R$ has a charge $q .$ Another charge $Q$ is placed at the center of the shell. The electrostatic potential at a point $P$ a distance $\frac{R}{2}$ from the center of the shell is
Physics · Electrostatics · MCQ
Q169.The work done in placing a charge of $8 \times 1 0^{- 18}$ coulomb on a condenser of capacity $100$ micro-farad is
Physics · Capacitor · MCQ
Q170.Dimensions of $\frac{1}{μ _{0} ε _{0}}$ , where symbols have their usual meaning, are
Physics · Units and Measurements · MCQ
Q171.The physical quantities not having same dimensions are
Physics · Units and Measurements · MCQ
Q172.A car, moving with a speed of 50 km/hr, can be stopped by brakes after at least 6 m. If the same car is moving at a speed of 100 km/hr, the minimum stopping distance is
Physics · Motion in A Straight Line · MCQ
Q173.A boy playing on the roof of a 10 m high building throws a ball with a speed of 10 m/s at an angle of $3 0^{\circ}$ with the horizontal. How far from the throwing point will the ball be at the height of 10 m from the ground? $[g = 10 m / s^{2}, sin 3 0^{\circ} = \frac{1}{2}, cos 3 0^{\circ} = \frac{3}{2}]$ …
Physics · Motion in A Plane · MCQ
Q174.The co-ordinates of a moving particle at any time 't' are given by x = $α$ t3 and y = βt3. The speed to the particle at time 't' is given by
Physics · Motion in A Straight Line · MCQ
Q175.A spring balance is attached to the ceiling of a lift. A man hangs his bag on the spring and the spring reads $49 N,$ when the lift is stationary. If the lift moves downward with an acceleration of $5 m / s^{2}$ , the reading of the spring…
Physics · Laws of Motion · MCQ
Q176.A marble block of mass $2 k g$ lying on ice when given a velocity of $6 m / s$ is stopped by friction in $10 s .$ Then the coefficient of friction is
Physics · Laws of Motion · MCQ
Q177.A block of mass $M$ is pulled along a horizontal frictionless surface by a rope of mass $m .$ If a force $P$ is applied at the free end of the rope, the force exerted by the rope on the block is
Physics · Laws of Motion · MCQ
Q178.A light spring balance hangs from the hook of the other light spring balance and a block of mass $M k g$ hangs from the former one. Then the true statement about the scale reading is
Physics · Laws of Motion · MCQ
Q179.A rocket with a lift-off mass $3.5 \times 1 0^{4} k g$ is blasted upwards with an initial acceleration of $10 m / s^{2} .$ Then the initial thrust of the blast is
Physics · Laws of Motion · MCQ
Q180.Consider the following two statements : $A .$ Linear momentum of a system of particles is zero $B .$ Kinetic energy of a system of particles is zero. then
Physics · Center of Mass · MCQ
Q181.A wire suspended vertically from one of its ends is stretched by attaching a weight of $200 N$ to the lower end. The weight stretches the wire by $1 mm .$ Then the elastic energy stored in the wire is
Physics · Work Power and Energy · MCQ
Q182.A spring of spring constant $5 \times 1 0^{3} N / m$ is stretched initially by $5 c m$ from the unstretched position. Then the work required to stretch it further by another $5 c m$ is
Physics · Work Power and Energy · MCQ