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Units and Measurement

50 questions · Physics · NEET

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Units and Measurement

Units and Measurement

50 questions · Physics · NEET

A balloon is made of a material of surface tension $S$ and its inflation outlet (from where gas is filled in it) has small area $A$ . It is filled with a gas of density $ρ$ and takes a spherical shape of radius $R$ . When the gas is…2025 · Q164 · MCQ
A physical quantity $P$ is related to four observations $a, b, c$ and $d$ as follows: $P = a^{3} b^{2} / c d$ The percentage errors of measurement in $a, b, c$ and $d$ are $1%, 3%, 2%$ , and $4%$ respectively. The percentage…2025 · Q166 · MCQ
Consider the diameter of a spherical object being measured with the help of a Vernier callipers. Suppose its 10 Vernier Scale Divisions (V.S.D.) are equal to its 9 Main Scale Divisions (M.S.D.). The least division in the M.S. is 0.1 cm and…2025 · Q178 · MCQ
In a vernier callipers, $(N + 1)$ divisions of vernier scale coincide with $N$ divisions of main scale. If $0.1 mm$ represents $cm$ , the vernier constant (in $cm$ ) is:2024 · Q151 · MCQ
The quantities which have the same dimensions as those of solid angle are:2024 · Q172 · MCQ
A force defined by $F = α t^{2} + β t$ acts on a particle at a given time $t$ . The factor which is dimensionless, if $α$ and $β$ are constants, is:2024 · Q200 · MCQ
In an electrical circuit, the voltage is measured as $V = (200 \pm 4)$ volt and the current is measured as $I = (20 \pm 0.2)$ A. The value of the resistance is:2024 · Q163 · MCQ
The pitch of an error free screw gauge is $1 mm$ and there are 100 divisions on the circular scale. While measuring the diameter of a thick wire, the pitch scale reads $6 3^{rd}$ and $6 3^{rd}$ division on the…2024 · Q177 · MCQ
The potential energy of a particle moving along $x$ -direction varies as $V = \frac{A x ^{2}}{x + B}$ . The dimensions of $\frac{A ^{2}}{B}$ are:2024 · Q190 · MCQ
The diameter of a spherical bob, when measured with vernier callipers yielded the following values : $3.33 cm, 3.32 cm, 3.34 cm, 3.33 cm$ and $3.32 cm$ . The mean diameter to appropriate…2023 · Q131 · MCQ
The mechanical quantity, which has dimensions of reciprocal of mass $(M^{- 1})$ is :2023 · Q133 · MCQ
The errors in the measurement which arise due to unpredictable fluctuations in temperature and voltage supply are :2023 · Q133 · MCQ
A metal wire has mass $(0.4 \pm 0.002) g$ , radius $(0.3 \pm 0.001) mm$ and length $(5 \pm 0.02) cm$ . The maximum possible percentage error in the measurement of density will nearly be :2023 · Q140 · MCQ
The physical quantity that has the same dimensional formula as pressure is2022 · Q163 · MCQ
The percentage error in the measurement of g is : (Given that $g = \frac{4 π ^{2} L}{T ^{2}}$ , $L = (10 \pm 0.1)$ cm, $T = (100 \pm 1)$ s)2022 · Q172 · MCQ
The dimensions [MLT $-$ 2A $-$ 2] belong to the2022 · Q133 · MCQ
Plane angle and solid angle have2022 · Q157 · MCQ
The area of a rectangular field (in m2) of length 55.3 m and breadth 25 m after rounding off the value for correct significant digits is2022 · Q161 · MCQ
The E and G respectively denote energy and gravitational constant, then $\frac{E}{G}$ has the dimensions of :2021 · Q127 · MCQ
A screw gauge gives the following readings when used to measure the diameter of a wire Main scale reading : 0 mm Circular scale reading : 52 divisions Given that 1 mm on main scale corresponds to 100 divisions on the circular scale. The…2021 · Q136 · MCQ
If force [F], acceleration [A] and time [T] are chosen as the fundamental physical quantities. Find the dimensions of energy.2021 · Q155 · MCQ
A screw gauge has least count of 0.01 mm and there are 50 divisions in its circular scale. The pitch of the screw gauge is :2020 · Q124 · MCQ
Taking into account of the significant figures, what is the value of $9.99 m - 0.0099 m$ ?2020 · Q133 · MCQ
Dimensions of stress are :2020 · Q140 · MCQ
The energy required to break one bond in DNA is 10-20 J. This value in eV is nearly :2020 · Q154 · MCQ
In an experiment, the percentage of error occurred in the measurement of physical quantities A, B, C and D are 1%, 2 %, 3 %and 4 % respectively. Then the maximum percentage of error in the measurement X, where X = $\frac{A ^{2} B ^{1/2}}{C ^{1/3} D ^{3}}$ …2019 · Q153 · MCQ
A student measured the diameter of a small steel ball using a screw gauge of least count 0.001 cm. The main scale reading is 5 mm and zero of circular scale division coincides with 25 divisions above the reference level. If screw gauge has…2018 · Q116 · MCQ
A physical quantity of the dimensions of length that can be formed out of c, G and $\frac{e ^{2}}{4 π ε _{0}}$ is [c is velocity of light, G is the universal constant of gravitation and e is charge]2017 · Q164 · MCQ
Planck's constant (h), speed of light in vacuum (c) and Newton's gravitional constant (G) are three fundamental constants. Which of the following combinations of these has the dimension of length ?2016 · Q161 · MCQ
If dimensions of critical velocity $υ$ c of a liquid flowing through a tube are expressed as $[η^{x} ρ^{y} r^{z}]$ where $η, ρ$ and r are the coefficient of viscosity of liquid, density of liquid and…2015 · Q150 · MCQ
If energy (E), velocity (V) and time (T) are chosen as the fundamental quantities, the dimensional formula of surface tension will be2015 · Q155 · MCQ
If force (F), velocity (V) and time (T) are taken as fundamental units, then dimensions of mass are2014 · Q160 · MCQ
The pair of quantities having same dimensions is2013 · Q164 · MCQ
If an experiment four quantities a, b, c and d are measured with percentage error 1%, 2%, 3% and 4% respectively. Quantity P is calculated as follows P $= \frac{a ^{3} b ^{2}}{c d}$ % error in P is2013 · Q162 · MCQ
The dimensions of $(μ_{0} ε_{0})^{- 1/2}$ are2012 · Q107 · MCQ
The damping force on an oscillator is directly proportional to the velocity. The units of the constant of proportionality are2012 · Q176 · MCQ
The density of a material in CGS system of units is 4 g cm $-$ 3. In a system of units in which unit of length is 10 cm and unit of mass is 100 g, the value of density of material will be2011 · Q108 · MCQ
The dimensions of $(μ_{0} ε_{0})^{- 1/2}$ are2011 · Q168 · MCQ
A student measures the distance traversed in free fall of a body, initially at rest, in a given time. He uses this data to estimate g, the acceleration due to gravity. If the maximum percentage errors in measurement of the distance and the…2010 · Q101 · MCQ
The dimension of $\frac{1}{2} ε_{0} E^{2}$ , where $ε_{0}$ is permittivity of free space and E is electric field, is2010 · Q188 · MCQ
If the dimensions of a physical quantity are given by MaLbTc, then the physical quantity will be2009 · Q175 · MCQ
Which two of the following five physical parameters have the same dimensions ? 1. Energy density 2. Refractive index 3. Dielectric constant 4. Young's modulus 5. Magnetic field2008 · Q146 · MCQ
If the error in the measurement of radius of a sphere is 2%, then the error in the determination of volume of the sphere will be2008 · Q168 · MCQ
Dimensions of resistance in an electrical circuit, in terms of dimension of mass M, of length L, of time T and of current I, would be2007 · Q153 · MCQ
The velocity v of a particle at time t is given by v = at + $\frac{b}{t + c}$ , where a, b and c are constants. The dimensions of a, b and c are2006 · Q175 · MCQ
The ratio of the dimensions of Planck's constant and that of moment of inertia is the dimensions of2005 · Q175 · MCQ
The unit of permittyvity of free space, $ε_{0}$ , is2004 · Q140 · MCQ
The dimensions of universal gravitational constant are2004 · Q160 · MCQ
The dimensions of Planck's constant equals to that of2001 · Q172 · MCQ
Which pair do not have equal dimensions ?2000 · Q165 · MCQ