New chat PYQ Library Doubts Rank report

Sign in to see Recents

Your guest activity stays on this device

Sign in to save progress →

Atoms and Nuclei

53 questions · Physics · JEE Advanced

Guest · filters and generic practice availableBrowsing as a guest · PYQ filters and generic practice are available. Sign in only for personalised features and saved progress.

PYQ Library
JEE Advanced
Physics
Atoms and Nuclei

Atoms and Nuclei

53 questions · Physics · JEE Advanced

List-I shows various functional dependencies of energy $(E)$ on the atomic number $(Z)$ . Energies associated with certain phenomena are given in List-II. Choose the option that describes the correct match between the entries in List-I to… Includes table2025 · Shift 1 · Q48 · MCQ
A particle of mass $m$ is moving in a circular orbit under the influence of the central force $F (r) = - k r$ , corresponding to the potential energy $V (r) = k r^{2} /2$ , where $k$ is a positive force constant and $r$ is the radial distance from…2024 · Shift 1 · Q39 · Multiple correct
List-I shows different radioactive decay processes and List-II provides possible emitted particles. Match each entry in List-I with an appropriate entry from List-II, and choose the correct option. Includes table2023 · Shift 1 · Q48 · MCQ
In a radioactive decay process, the activity is defined as $A = - \frac{d N}{d t}$ , where $N (t)$ is the number of radioactive nuclei at time $t$ . Two radioactive sources, $S_{1}$ and $S_{2}$ have same activity at time $t = 0$ . At a later time, the…2023 · Shift 2 · Q46 · Numerical
The minimum kinetic energy needed by an alpha particle to cause the nuclear reaction $_{7}^{16} N +_{2}^{4} He \to_{1}^{1} H +_{8}^{19} O$ in a laboratory frame is $n$ (in $M e V$ .…2022 · Shift 1 · Q38 · Numerical
The binding energy of nucleons in a nucleus can be affected by the pairwise Coulomb repulsion. Assume that all nucleons are uniformly distributed inside the nucleus. Let the binding energy of a proton be $E_{b}^{p}$ and the binding energy…2022 · Shift 1 · Q50 · Multiple correct
In a radioactive decay chain reaction, $_{90}^{230} Th$ nucleus decays into $_{84}^{214} Po$ nucleus. The ratio of the number of $α$ to number of $β^{-}$ particles emitted in this process is …2022 · Shift 2 · Q38 · Numerical
A heavy nucleus Q of half-life 20 minutes undergoes alpha-decay with probability of 60% and beta-decay with probability of 40%. Initially, the number of Q nuclei is 1000. The number of alpha-decays of Q in the first one hour is2021 · Shift 1 · Q42 · MCQ
Which of the following statement(s) is(are) correct about the spectrum of the hydrogen atom?2021 · Shift 1 · Q52 · Multiple correct
A heavy nucleus N, at rest, undergoes fission N $\to$ P + Q, where P and Q are two lighter nuclei. Let $δ$ = MN $-$ MP $-$ MQ, where MP, MQ and MN are the masses of P, Q and N, respectively. EP and EQ are the kinetic energies of P and…2021 · Shift 2 · Q43 · Multiple correct
A particle of mass m moves in circular orbits with potential energy V(r) = Fr, where F is a positive constant and r is its distance from the origin. Its energies are calculated using the Bohr model. If the radius of the particle’s orbit is…2020 · Shift 1 · Q47 · Multiple correct
In an X-ray tube, electrons emitted from a filament (cathode) carrying current I hit a target (anode) at a distance d from the cathode. The target is kept at a potential V higher than the cathode resulting in emission of continuous and…2020 · Shift 2 · Q46 · Multiple correct
In a radioactive sample, $_{19}^{40} K$ nuclei either decay into stable $_{20}^{40} C a$ nuclei with decay constant 4.5 $\times$ 10-10 per year or into stable $_{18}^{40} A r$ nuclei with decay constant 0.5 $\times$ 10-10 per year. Given…2019 · Shift 1 · Q37 · MCQ
A free hydrogen atom after absorbing a photon of wavelength $λ$ a gets excited from the state n = 1 to the state n = 4. Immediately after that the electron jumps to n = m state by emitting a photon of wavelength $λ$ e. Let the…2019 · Shift 2 · Q43 · Multiple correct
Suppose a $_{88}^{226} R a$ nucleus at rest and in ground state undergoes $α$ -decay to a $_{86}^{222} R n$ nucleus in its excited state. The kinetic energy of the emitted $α$ particle is found to be 4.44 MeV. $_{86}^{222} R n$ nucleus…2019 · Shift 2 · Q45 · Numerical
In a radioactive decay chain, $_{90}^{232} T h$ nucleus decays to $_{82}^{212} P b$ nucleus. Let $N_{α}$ and $N_{β}$ be the number of $α$ and $β^{-}$ particles, respectively, emitted in this decay process. Which of…2018 · Shift 2 · Q40 · Multiple correct
Consider a hydrogen-like ionized atom with atomic number $Z$ with a single electron. In the emission spectrum of this atom, the photon emitted in the $n = 2$ to $n = 1$ transition has energy $74.8 e V$ higher than the photon emitted in the $n = 3$ …2018 · Shift 2 · Q49 · Numerical
An electron in a hydrogen atom undergoes a transition from an orbit with quantum number $n_{i}$ to another with quantum number $n_{f}$ . $V_{i}$ and $V_{f}$ are respectively the initial and final potential energies of the electron. If $\frac{V _{i}}{V _{f}} = 6.25$ …2017 · Shift 1 · Q44 · Numerical
$^{131} I$ is an isotope of Iodine that $B$ decays to an isotope of Xenon with a half-life of $8$ days. A small amount of a serum labelled with $^{131} I$ is injected into the blood of a person. The activity of the amount of $^{131} I$ …2017 · Shift 1 · Q48 · Numerical
Highly excited states for hydrogen-like atoms (also called Rydberg states) with nuclear charge Ze are defined by their principle quantum number n, where n >> 1. Which of the following statement(s) is(are) true?2016 · Shift 1 · Q49 · Multiple correct
A hydrogen atom in its ground state is irradiated by light of wavelength 970 $A o$ . Taking hc = 1.237 $\times$ 10 $-$ 6 eVm and the ground state energy of hydrogen atom as $-$ 13.6 eV, the number of lines present in the…2016 · Shift 1 · Q51 · Numerical
The isotope $_{5}^{12} B$ having a mass 12.014 u undergoes $β$ -decay to $_{6}^{12} C$ . $_{6}^{12} C$ has an excited state of the nucleus ( $_{6}^{12} C$ *) at 4.041 MeV above its ground state. If $_{5}^{12} B$ decays to $_{6}^{12} C$ *, the maximum kinetic…2016 · Shift 1 · Q52 · Numerical
An accident in a nuclear laboratory resulted in deposition of a certain amount of radioactive material of half-life 18 days inside the laboratory. Tests revealed that the radiation was 64 times more than the permissible level required for…2016 · Shift 2 · Q43 · MCQ
The electrostatic energy of Z protons uniformly distributed throughout a spherical nucleus of radius R is given by $E = \frac{3}{5} \frac{Z ( Z - 1 ) e ^{2}}{4 π ε _{0} R}$ The measured masses of the neutron, $_{1}^{1} H$ , $_{7}^{15} N$ …2016 · Shift 2 · Q44 · MCQ
Consider a hydrogen atom with its electron in the nth orbital. An electromagnetic radiation of wavelength 90 nm is used to ionize the atom. If the kinetic energy of the ejected electron is 10.4 eV, then the value of n is (hc = 1242 eV nm)2015 · Shift 1 · Q50 · Numerical
A nuclear power plant supplying electrical power to a village uses a radioactive material of half life T years as the fuel. The amount of fuel at the beginning is such that the total power requirement of the village is 12.5 % of the…2015 · Shift 1 · Q52 · Numerical
Match the nuclear processes given in Column I with the appropriate option(s) in Column II: Includes diagram2015 · Shift 1 · Q59 · MCQ
For a radioactive material, its activity A and rate of change of its activity R are defined as $A = - \frac{d N}{d t}$ and $R = - \frac{d A}{d t}$ , where N(t) is the number of nuclei at time t. Two radioactive source P(mean life…2015 · Shift 2 · Q47 · Numerical
A fission reaction is given by $_{92}^{236} U \to_{54}^{140} X e +_{38}^{94} S r + x + y$ , where x and y are two particles. Considering $_{92}^{236} U$ to be at rest, the kinetic energies of the products are denoted by $K_{X e}, K_{S r}, K_{x} (2 M e V)$ …2015 · Shift 2 · Q55 · Multiple correct
If $λ$ Cu is the wavelength of K $α$ X-ray line of copper (atomic number 29) and $λ$ Mo is the wavelength of the K $α$ X-ray line of molybdenum (atomic number 42), then the ratio $λ$ Cu/ $λ$ Mo is close to2014 · Shift 2 · Q46 · MCQ
A freshly prepared sample of a radioisotope of half-life 1386 s has activity 103 disintegrations per second. Given that ln2 = 0.693, the fraction of the initial number of nuclei (expressed in nearest integer percentage) that will decay in…2013 · Shift 1 · Q60 · Numerical
The radius of the orbit of an electron in a hydrogen-like atom is 4.5a0, where a0 is the Bohr radius. Its orbital angular momentum is $\frac{3 h}{2 π}$ . It is given that h is Planck constant and R is Rydberg constant. The possible…2013 · Shift 2 · Q51 · Multiple correct
The mass of a nucleus $_{Z}^{A} X$ is less than the sum of the masses of (A-Z) number of neutrons and Z number of protons in the nucleus. The energy equivalent to the corresponding mass difference is known as the binding energy of the nucleus.… Includes table2013 · Shift 2 · Q56 · MCQ
The mass of a nucleus $_{Z}^{A} X$ is less than the sum of the masses of (A-Z) number of neutrons and Z number of protons in the nucleus. The energy equivalent to the corresponding mass difference is known as the binding energy of the nucleus.… Includes table2013 · Shift 2 · Q57 · MCQ
Match List I of the nuclear processes with List II containing parent nucleus and one of the end products of each process and then select the correct answer using the codes given below the lists : Includes table2013 · Shift 2 · Q60 · MCQ
The $β$ -decay process, discovered in around 1900, is basically the decay of a neutron (n). In the laboratory, a proton (p) and an electron (e $-$ ) are observed as the decay products of the neutron. Therefore, considering the decay of a…2012 · Shift 2 · Q55 · MCQ
The $β$ -decay process, discovered in around 1900, is basically the decay of a neutron (n). In the laboratory, a proton (p) and an electron (e $-$ ) are observed as the decay products of the neutron. Therefore, considering the decay of a…2012 · Shift 2 · Q56 · MCQ
The wavelength of the first spectral line in the Balmer series of hydrogen atom is 6561 $A o$ . The wavelength of the second spectral line in the Balmer series of singly-ionized helium atom is2011 · Shift 1 · Q58 · MCQ
To determine the half-life of a radioactive element, a student plots a graph of $ln \frac{d N ( t )}{d t}$ versus t. Here, $\frac{d N ( t )}{d t}$ is the rate of radioactive decay at time t. If the number of radioactive… Includes diagram2010 · Shift 2 · Q51 · Numerical
The key feature of Bohr's theory of spectrum of hydrogen atom is the quantization of angular momentum when an electron is revolving around a proton. We will extend this to a general rotational motion to find quantized rotational energy of…2010 · Shift 2 · Q53 · MCQ
The key feature of Bohr's theory of spectrum of hydrogen atom is the quantization of angular momentum when an electron is revolving around a proton. We will extend this to a general rotational motion to find quantized rotational energy of…2010 · Shift 2 · Q54 · MCQ
The key feature of Bohr's theory of spectrum of hydrogen atom is the quantization of angular momentum when an electron is revolving around a proton. We will extend this to a general rotational motion to find quantized rotational energy of…2010 · Shift 2 · Q55 · MCQ
When a particle is restricted to move along x-axis between x = 0 and x = a, where a is of nanometer dimension, its energy can take only certain specific values. The allowed energies of the particle moving in such a restricted region,…2009 · Shift 1 · Q55 · MCQ
Scientists are working hard to develop nuclear fusion reactor. Nuclei of heavy hydrogen, $_{1}^{2}$ H, known as deuteron and denoted by D, can be thought of as a candidate for fusion reactor. The D-D reaction is $_{1}^{2}$ H + $_{1}^{2}$ H $\to_{2}^{3}$ …2009 · Shift 1 · Q56 · MCQ
Scientists are working hard to develop nuclear fusion reactor. Nuclei of heavy hydrogen, $_{1}^{2}$ H, known as deuteron and denoted by D, can be thought of as a candidate for fusion reactor. The D-D reaction is $_{1}^{2}$ H + $_{1}^{2}$ H $\to_{2}^{3}$ …2009 · Shift 1 · Q57 · MCQ
Scientists are working hard to develop nuclear fusion reactor. Nuclei of heavy hydrogen, $_{1}^{2}$ H, known as deuteron and denoted by D, can be thought of as a candidate for fusion reactor. The D-D reaction is $_{1}^{2}$ H + $_{1}^{2}$ H $\to_{2}^{3}$ …2009 · Shift 1 · Q58 · MCQ
Assume that the nuclear binding energy per nucleon (B/A) versus mass number (A) is as shown in the figure. Use this plot to choose the correct choice(s) given below. Includes diagram2008 · Shift 1 · Q54 · Multiple correct
In a mixture of H - He $^{+}$ gas (He $^{+}$ is singly ionized He atom), H atoms and He $^{+}$ ions are excited to their respective first excited states. Subsequently, H atoms transfer their total excitation energy to He $^{+}$ ions (by…2008 · Shift 1 · Q64 · MCQ
In a mixture of H - He $^{+}$ gas (He $^{+}$ is singly ionized He atom), H atoms and He $^{+}$ ions are excited to their respective first excited states. Subsequently, H atoms transfer their total excitation energy to He $^{+}$ ions (by…2008 · Shift 1 · Q65 · MCQ
In a mixture of H - He $^{+}$ gas (He $^{+}$ is singly ionized He atom), H atoms and He $^{+}$ ions are excited to their respective first excited states. Subsequently, H atoms transfer their total excitation energy to He $^{+}$ ions (by…2008 · Shift 1 · Q66 · MCQ
A radioactive sample S1 having activity of 5 $μ$ Ci has twice the number of nuclei as another sample S2 which has an activity of 10 $μ$ Ci. The half lives of S1 and S2 can be :2008 · Shift 2 · Q47 · MCQ
In the option given below, let E denote the rest mass energy of a nucleus and n a neutron. The correct option is2007 · Shift 1 · Q52 · MCQ
The largest wavelength in the ultraviolet region of the hydrogen spectrum is 122 nm. The smallest wavelength in the infrared region of the hydrogen spectrum (to the nearest integer) is2007 · Shift 1 · Q53 · MCQ