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## Atoms and Nuclei

### Physics

#### Previous Years Questions

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A heavy nucleus Q of half-life 20 minutes undergoes alpha-decay with probability of 60% and beta-decay with probability ...
JEE Advanced 2021 Paper 1 Offline
In a radioactive sample, $${}_{19}^{40}K$$ nuclei either decay into stable $${}_{20}^{40}Ca$$ nuclei with decay constant...
JEE Advanced 2019 Paper 1 Offline
The electrostatic energy of Z protons uniformly distributed throughout a spherical nucleus of radius R is given by $$E =... JEE Advanced 2016 Paper 2 Offline An accident in a nuclear laboratory resulted in deposition of a certain amount of radioactive material of half-life 18 d... JEE Advanced 2016 Paper 2 Offline Match the nuclear processes given in Column I with the appropriate option(s) in Column II: ... JEE Advanced 2015 Paper 1 Offline If$$\lambda$$Cu is the wavelength of K$$\alpha$$X-ray line of copper (atomic number 29) and$$\lambda$$Mo is the wavel... JEE Advanced 2014 Paper 2 Offline Match List I of the nuclear processes with List II containing parent nucleus and one of the end products of each process... JEE Advanced 2013 Paper 2 Offline The kinetic energy (in keV) of the alpha particle, when the nucleus$$_{84}^{210}Po$$at rest undergoes alpha decay, is... JEE Advanced 2013 Paper 2 Offline The correct statement is JEE Advanced 2013 Paper 2 Offline If the anti-neutrino had a mass of 3 eV/c2 (where c is the speed of light) instead of zero mass, what should be the rang... IIT-JEE 2012 Paper 2 Offline What is the maximum energy of the anti-neutrino? IIT-JEE 2012 Paper 2 Offline The wavelength of the first spectral line in the Balmer series of hydrogen atom is 6561$$\mathop A\limits^o $$. The wav... IIT-JEE 2011 Paper 1 Offline In a CO molecule, the distance between C (mass = 12 amu) and O (mass = 16 amu), where 1 amu$$ = {5 \over 3} \times {10^...
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...
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...
IIT-JEE 2010 Paper 2 Offline

## MCQ (More than One Correct Answer)

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In an X-ray tube, electrons emitted from a filament (cathode) carrying current I hit a target (anode) at a distance d fr...
JEE Advanced 2020 Paper 2 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 i...
JEE Advanced 2020 Paper 1 (Offline)
A free hydrogen atom after absorbing a photon of wavelength $$\lambda$$a gets excited from the state n = 1 to the state...
JEE Advanced 2019 Paper 2 Offline
In a radioactive decay chain, $${}_{90}^{232}Th$$ nucleus decays to $${}_{82}^{212}Pb$$ nucleus. Let $${N_\alpha }$$ and...
JEE Advanced 2018 Paper 2 Offline
Highly excited states for hydrogen-like atoms (also called Rydberg states) with nuclear charge Ze are defined by their p...
JEE Advanced 2016 Paper 1 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 particle...
JEE Advanced 2015 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 angula...
JEE Advanced 2013 Paper 2 Offline

## Numerical

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Suppose a $$_{88}^{226}Ra$$ nucleus at rest and in ground state undergoes $$\alpha$$-decay to a $$_{86}^{222}Rn$$ nucle...
JEE Advanced 2019 Paper 2 Offline
Consider a hydrogen-like ionized atom with atomic number $$Z$$ with a single electron. In the emission spectrum of this ...
JEE Advanced 2018 Paper 2 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 ...
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 quantu...
JEE Advanced 2017 Paper 1 Offline
The isotopes $$_5^{12}B$$ having a mass 12.014 u undergoes $$\beta$$-decay to $$_6^{12}C$$. $$_6^{12}C$$ has an excited...
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/e = 1.237...
JEE Advanced 2016 Paper 1 Offline
An electron in an excited state of Li2+ ion has angular momentum $${{3h} \over {2\pi }}$$. The de Broglie wavelength of ...
JEE Advanced 2015 Paper 2 Offline
For a radioactive material, its activity A and rate of change of its activity R are defined as $$A = - {{dN} \over {dt}... JEE Advanced 2015 Paper 2 Offline A nuclear power plant supplying electrical power to a village uses a radioactive material of half life T years as the fu... JEE Advanced 2015 Paper 1 Offline Consider a hydrogen atom with its electron in the nth orbital. An electromagnetic radiation of wavelength 90 nm is used ... JEE Advanced 2015 Paper 1 Offline A freshly prepared sample of a radioisotope of half-life 1386 s has activity 103 disintegrations per second. Given that ... JEE Advanced 2013 Paper 1 Offline A proton is fired from very far away towards a nucleus with charge Q = 120e, where e is the electronic charge. It makes ... IIT-JEE 2012 Paper 1 Offline To determine the half-life of a radioactive element, a student plots a graph of$$\ln \left| {{{dN(t)} \over {dt}}} \rig...
IIT-JEE 2010 Paper 2 Offline

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