Atoms and Nuclei · Physics · JEE Advanced

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MCQ (More than One Correct Answer)

JEE Advanced 2024 Paper 1 Online
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)...
JEE Advanced 2022 Paper 1 Online
The binding energy of nucleons in a nucleus can be affected by the pairwise Coulomb repulsion. Assume that all nucleons are uniformly distributed insi...
JEE Advanced 2020 Paper 2 Offline
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 ...
JEE Advanced 2020 Paper 1 Offline
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. I...
JEE Advanced 2019 Paper 2 Offline
A free hydrogen atom after absorbing a photon of wavelength $$\lambda $$a gets excited from the state n = 1 to the state n = 4. Immediately after that...
JEE Advanced 2018 Paper 2 Offline
In a radioactive decay chain, $${}_{90}^{232}Th$$ nucleus decays to $${}_{82}^{212}Pb$$ nucleus. Let $${N_\alpha }$$ and $${N_\beta }$$ be the number ...
JEE Advanced 2016 Paper 1 Offline
Highly excited states for hydrogen-like atoms (also called Rydberg states) with nuclear charge Ze are defined by their principle quantum number n, whe...
JEE Advanced 2015 Paper 2 Offline
A fission reaction is given by $$_{92}^{236}U \to _{54}^{140}Xe + _{38}^{94}Sr + x + y$$, where x and y are two particles. Considering $$_{92}^{236}U$...
JEE Advanced 2013 Paper 2 Offline
The radius of the orbit of an electron in a hydrogen-like atom is 4.5a0, where a0 is the Bohr radius. Its orbital angular momentum is $${{3h} \over {2...
IIT-JEE 2008 Paper 1 Offline
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(...

MCQ (Single Correct Answer)

JEE Advanced 2023 Paper 1 Online
List-I shows different radioactive decay processes and List-II provides possible emitted particles. Match each entry in List-I with an appropriate ent...
JEE Advanced 2021 Paper 1 Online
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 ...
JEE Advanced 2019 Paper 1 Offline
In a radioactive sample, $${}_{19}^{40}K$$ nuclei either decay into stable $${}_{20}^{40}Ca$$ nuclei with decay constant 4.5 $$ \times $$ 10-10 per ye...
JEE Advanced 2016 Paper 2 Offline
An accident in a nuclear laboratory resulted in deposition of a certain amount of radioactive material of half-life 18 days inside the laboratory. Tes...
JEE Advanced 2016 Paper 2 Offline
The electrostatic energy of Z protons uniformly distributed throughout a spherical nucleus of radius R is given by $$E = {3 \over 5}{{Z(Z - 1){e^2}} \...
JEE Advanced 2015 Paper 1 Offline
Match the nuclear processes given in Column I with the appropriate option(s) in Column II: ...
JEE Advanced 2014 Paper 2 Offline
If $$\lambda$$Cu is the wavelength of K$$\alpha$$ X-ray line of copper (atomic number 29) and $$\lambda$$Mo is the wavelength of the K$$\alpha$$ X-ray...
JEE Advanced 2013 Paper 2 Offline
The correct statement is
JEE Advanced 2013 Paper 2 Offline
The kinetic energy (in keV) of the alpha particle, when the nucleus $$_{84}^{210}Po$$ at rest undergoes alpha decay, is
JEE Advanced 2013 Paper 2 Offline
Match List I of the nuclear processes with List II containing parent nucleus and one of the end products of each process and then select the correct a...
IIT-JEE 2012 Paper 2 Offline
What is the maximum energy of the anti-neutrino?
IIT-JEE 2012 Paper 2 Offline
If the anti-neutrino had a mass of 3 eV/c2 (where c is the speed of light) instead of zero mass, what should be the range of the kinetic energy, K, of...
IIT-JEE 2011 Paper 1 Offline
The wavelength of the first spectral line in the Balmer series of hydrogen atom is 6561 $$\mathop A\limits^o $$. The wavelength of the second spectral...
IIT-JEE 2010 Paper 2 Offline
A diatomic molecule has moment of inertia I. By Bohr's quantization condition, its rotational energy in the nth level (n = 0 is not allowed) is
IIT-JEE 2010 Paper 2 Offline
It is found that the excitation frequency from ground to the first excited stat of rotation for the CO molecule is close to $${4 \over \pi } \times {1...
IIT-JEE 2010 Paper 2 Offline
In a CO molecule, the distance between C (mass = 12 amu) and O (mass = 16 amu), where 1 amu $$ = {5 \over 3} \times {10^{ - 27}}$$ kg, is close to...
IIT-JEE 2009 Paper 1 Offline
The speed of the particle, that can take discrete values, is proportional to
IIT-JEE 2009 Paper 1 Offline
In the core of nuclear fusion reactor, the gas becomes plasma because of
IIT-JEE 2009 Paper 1 Offline
Assume that two deuteron nuclei in the core of fusion reactor at temperature T are moving towards each other, each with kinetic energy 1.5 kT, when th...
IIT-JEE 2009 Paper 1 Offline
Results of calculations for four different designs of a fusion reactor using D-D reaction are given below. Which of these is most promising based on L...
IIT-JEE 2008 Paper 2 Offline
A radioactive sample S1 having activity of 5 $$\mu$$Ci has twice the number of nuclei as another sample S2 which has an activity of 10 $$\mu$$Ci. The ...
IIT-JEE 2008 Paper 1 Offline
Which one of the following statements is WRONG in the context of X-rays generated from a X-ray tube?
IIT-JEE 2008 Paper 1 Offline
The quantum number n of the state finally populated in He$$^+$$ ions is :
IIT-JEE 2008 Paper 1 Offline
The wavelength of light emitted in the visible region by He$$^+$$ ions after collisions with H atoms is
IIT-JEE 2008 Paper 1 Offline
The ratio of the kinetic energy of the $$n=2$$ electron for the H atom to that of He$$^+$$ ion is
IIT-JEE 2007 Paper 2 Offline
Electrons with de-Broglie wavelength $$\lambda$$ fall on the target in an X-ray tube. The cut-off wavelength of the emitted X-rays is

Numerical

JEE Advanced 2022 Paper 2 Online
In a radioactive decay chain reaction, ${ }_{90}^{230} \mathrm{Th}$ nucleus decays into ${ }_{84}^{214} \mathrm{Po}$ nucleus. The ratio of the number ...
JEE Advanced 2019 Paper 2 Offline
Suppose a $$_{88}^{226}Ra$$ nucleus at rest and in ground state undergoes $$\alpha $$-decay to a $$_{86}^{222}Rn$$ nucleus in its excited state. The k...
JEE Advanced 2018 Paper 2 Offline
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 th...
JEE Advanced 2017 Paper 1 Offline
An electron in a hydrogen atom undergoes a transition from an orbit with quantum number $${n_i}$$ to another with quantum number $${n_f}$$. $${V_i}$$ ...
JEE Advanced 2017 Paper 1 Offline
$${}^{131}{\rm I}$$ 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 labell...
JEE Advanced 2016 Paper 1 Offline
A hydrogen atom in its ground state is irradiated by light of wavelength 970$$\mathop A\limits^o $$.Taking hc = 1.237 $$\times$$ 10$$-$$6 eVm and the...
JEE Advanced 2016 Paper 1 Offline
The isotope $$_5^{12}B$$ having a mass 12.014 u undergoes $$\beta $$-decay to $$_6^{12}C$$. $$_6^{12}C$$ has an excited state of the nucleus ($$_6^{12...
JEE Advanced 2015 Paper 2 Offline
For a radioactive material, its activity A and rate of change of its activity R are defined as $$A = - {{dN} \over {dt}}$$ and $$R = - {{dA} \over {...
JEE Advanced 2015 Paper 2 Offline
An electron in an excited state of Li2+ ion has angular momentum $${{3h} \over {2\pi }}$$. The de Broglie wavelength of the electron in this state is ...
JEE Advanced 2015 Paper 1 Offline
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 kin...
JEE Advanced 2015 Paper 1 Offline
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 ...
JEE Advanced 2013 Paper 1 Offline
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 t...
IIT-JEE 2012 Paper 1 Offline
A proton is fired from very far away towards a nucleus with charge Q = 120e, where e is the electronic charge. It makes a closest approach of 10 fm to...
IIT-JEE 2010 Paper 2 Offline
To determine the half-life of a radioactive element, a student plots a graph of $$\ln \left| {{{dN(t)} \over {dt}}} \right|$$ versus t. Here, $${{dN(t...
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