Atoms and Nuclei PYQs - Last 5 Years
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Practice 165 JEE Main Physics questions from Atoms and Nuclei. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
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Last 5 Years Atoms and Nuclei Questions
Showing 50 of 165 filtered questions.
1Atoms And Nuclei
A radioactive element \(_{92}^{242}\)X emits two \(\alpha\)-particles, one electron and two positrons. The product nucleus is represented by \(_{\mathrm{P}}^{234}\)Y. The value of P is __________.
INTEGER+4 / -12023
2Atoms And Nuclei
If a radioactive element having half-life of \(30 \mathrm{~min}\) is undergoing beta decay, the fraction of radioactive element remains undecayed after \(90 \mathrm{~min}\). will be
MCQ+4 / -12023
3Atoms And Nuclei
Substance A has atomic mass number 16 and half life of 1 day. Another substance B has atomic mass number 32 and half life of \(\frac{1}{2}\) day. If both A and B simultaneously start undergo radio activity at the same time with initial mass...
MCQ+4 / -12023
4Atoms And Nuclei
The wavelength of the radiation emitted is \(\lambda_0\) when an electron jumps from the second excited state to the first excited state of hydrogen atom. If the electron jumps from the third excited state to the second orbit of the hydroge...
INTEGER+4 / -12023
5Atoms And Nuclei
The ratio of the density of oxygen nucleus (\(_8^{16}O\)) and helium nucleus (\(_2^{4}\mathrm{He}\)) is
MCQ+4 / -12023
6Atoms And Nuclei
A nucleus disintegrates into two smaller parts, which have their velocities in the ratio 3 : 2. The ratio of their nuclear sizes will be \({\left( {{x \over 3}} \right)^{{1 \over 3}}}\). The value of '\(x\)' is :-
INTEGER+4 / -12023
7Atoms And Nuclei
The energy levels of an atom is shown in figure.
Which one of these transitions will result in the emission of a photon of wavelength 124.1 nm?
Given (h = 6.62 \(\times\) 10\(^{-34}\) Js)
Which one of these transitions will result in the emission of a photon of wavelength 124.1 nm?
Given (h = 6.62 \(\times\) 10\(^{-34}\) Js)
MCQ+4 / -12023
8Atoms And Nuclei
Assume that protons and neutrons have equal masses. Mass of a nucleon is \(1.6\times10^{-27}\) kg and radius of nucleus is \(1.5\times10^{-15}~\mathrm{A^{1/3}}\) m. The approximate ratio of the nuclear density and water density is $$n\times...
INTEGER+4 / -12023
9Atoms And Nuclei
Consider the following radioactive decay process
$$_{84}^{218}A\buildrel \alpha \over
\longrightarrow {A_1}\buildrel {{\beta ^ - }} \over
\longrightarrow {A_2}\buildrel \gamma \over
\longrightarrow {A_3}\buildrel \alpha \over
\longri...
$$_{84}^{218}A\buildrel \alpha \over
\longrightarrow {A_1}\buildrel {{\beta ^ - }} \over
\longrightarrow {A_2}\buildrel \gamma \over
\longrightarrow {A_3}\buildrel \alpha \over
\longri...
MCQ+4 / -12023
10Atoms And Nuclei
The energy released per fission of nucleus of \(^{240}\)X is 200 MeV. The energy released if all the atoms in 120g of pure \(^{240}\)X undergo fission is ____________ \(\times\) 10\(^{25}\) MeV.
(Given \(\mathrm{N_A=6\times10^{23}}\))
(Given \(\mathrm{N_A=6\times10^{23}}\))
INTEGER+4 / -12023
11Atoms And Nuclei
A photon is emitted in transition from n = 4 to n = 1 level in hydrogen atom. The corresponding wavelength for this transition is (given, h = 4 \(\times\) 10\(^{-15}\) eVs) :
MCQ+4 / -12023
12Atoms And Nuclei
A light of energy \(12.75 ~\mathrm{eV}\) is incident on a hydrogen atom in its ground state. The atom absorbs the radiation and reaches to one of its excited states. The angular momentum of the atom in the excited state is $$\frac{x}{\pi} \...
INTEGER+4 / -12023
13Atoms And Nuclei
The mass of proton, neutron and helium nucleus are respectively \(1.0073~u,1.0087~u\) and \(4.0015~u\). The binding energy of helium nucleus is :
MCQ+4 / -12023
14Atoms And Nuclei
Nucleus A having \(Z=17\) and equal number of protons and neutrons has \(1.2 ~\mathrm{MeV}\) binding energy per nucleon.
Another nucleus \(\mathrm{B}\) of \(Z=12\) has total 26 nucleons and \(1.8 ~\mathrm{MeV}\) binding energy per nucleons....
Another nucleus \(\mathrm{B}\) of \(Z=12\) has total 26 nucleons and \(1.8 ~\mathrm{MeV}\) binding energy per nucleons....
INTEGER+4 / -12023
15Atoms And Nuclei
An electron of a hydrogen like atom, having \(Z=4\), jumps from \(4^{\text {th }}\) energy state to \(2^{\text {nd }}\) energy state. The energy released in this process, will be :
(Given Rch = \(13.6~\mathrm{eV}\))
Where R = Rydberg consta...
(Given Rch = \(13.6~\mathrm{eV}\))
Where R = Rydberg consta...
MCQ+4 / -12023
16Atoms And Nuclei
As per given figure $A, B$ and $C$ are the first, second and third excited energy levels of hydrogen atom respectively. If the ratio of the two wavelengths $\left(\right.$ i.e. $\left.\frac{\lambda_{1}}{\lambda_{2}}\right)$ is $\frac{7}{4 n...
INTEGER+4 / -12023
17Atoms And Nuclei
The half-life of a radioactive nucleus is 5 years. The fraction of the original sample that would decay in 15 years is:
MCQ+4 / -12023
18Atoms And Nuclei
The radius of \(2^{\text {nd }}\) orbit of \(\mathrm{He}^{+}\) of Bohr's model is \(r_{1}\) and that of fourth orbit of \(\mathrm{Be}^{3+}\) is represented as \(r_{2}\). Now the ratio \(\frac{r_{2}}{r_{1}}\) is \(x: 1\). The value of \(x\) ...
INTEGER+4 / -12023
19Atoms And Nuclei
\(_{92}^{238}A \to _{90}^{234}B + _2^4D + Q\)
In the given nuclear reaction, the approximate amount of energy released will be:
[Given, mass of \({ }_{92}^{238} \mathrm{~A}=238.05079 \times 931.5 ~\mathrm{MeV} / \mathrm{c}^{2},\)
mass of $$...
In the given nuclear reaction, the approximate amount of energy released will be:
[Given, mass of \({ }_{92}^{238} \mathrm{~A}=238.05079 \times 931.5 ~\mathrm{MeV} / \mathrm{c}^{2},\)
mass of $$...
MCQ+4 / -12023
20Atoms And Nuclei
Given below are two statements: one is labelled as Assertion \(\mathbf{A}\) and the other is labelled as Reason \(\mathbf{R}\)
Assertion A : The binding energy per nucleon is practically independent of the atomic number for nuclei of mass n...
Assertion A : The binding energy per nucleon is practically independent of the atomic number for nuclei of mass n...
MCQ+4 / -12023
21Atoms And Nuclei
A common example of alpha decay is \({ }_{92}^{238} \mathrm{U} \longrightarrow{ }_{90}^{234} \mathrm{Th}+{ }_{2} \mathrm{He}^{4}+\mathrm{Q}\)
Given :
\({ }_{92}^{238} \mathrm{U}=238.05060 ~\mathrm{u}\),
$${ }_{90}^{234} \mathrm{Th}=234.0436...
Given :
\({ }_{92}^{238} \mathrm{U}=238.05060 ~\mathrm{u}\),
$${ }_{90}^{234} \mathrm{Th}=234.0436...
INTEGER+4 / -12023
22Atoms And Nuclei
A \(12.5 \mathrm{~eV}\) electron beam is used to bombard gaseous hydrogen at room temperature. The number of spectral lines emitted will be:
MCQ+4 / -12023
23Atoms And Nuclei
Two radioactive elements A and B initially have same number of atoms. The half life of A is same as the average life of B. If \(\lambda_{A}\) and \(\lambda_{B}\) are decay constants of A and B respectively, then choose the correct relation ...
MCQ+4 / -12023
24Atoms And Nuclei
A nucleus disintegrates into two nuclear parts, in such a way that ratio of their nuclear sizes is \(1: 2^{1 / 3}\). Their respective speed have a ratio of \(n: 1\). The value of $n$ is __________.
INTEGER+4 / -12023
25Atoms And Nuclei
The energy of \(\mathrm{He}^{+}\) ion in its first excited state is, (The ground state energy for the Hydrogen atom is \(-13.6 ~\mathrm{eV})\) :
MCQ+4 / -12023
26Atoms And Nuclei
The decay constant for a radioactive nuclide is 1.5 \(\times\) 10\(^{-5}\) s\(^{-1}\). Atomic weight of the substance is 60 g mole\(^{-1}\), (\(N_A=6\times10^{23}\)). The activity of 1.0 \(\mu\)g of the substance is ___________ \(\times\) 1...
INTEGER+4 / -12023
27Atoms And Nuclei
The angular momentum for the electron in Bohr's orbit is L. If the electron is assumed to revolve in second orbit of hydrogen atom, then the change in angular momentum will be
MCQ+4 / -12023
28Atoms And Nuclei
If 917 \(\mathop A\limits^o\) be the lowest wavelength of Lyman series then the lowest wavelength of Balmer series will be ___________ \(\mathop A\limits^o\).
INTEGER+4 / -12023
29Atoms And Nuclei
The half life of a radioactive substance is T. The time taken, for disintegrating \(\frac{7}{8}\)th part of its original mass will be:
MCQ+4 / -12023
30Atoms And Nuclei
A hydrogen atom in its first excited state absorbs a photon of energy x \(\times\) 10\(-\)2 eV and excited to a higher energy state where the potential energy of electron is \(-\)1.08 eV. The value of x is ______________.
INTEGER+4 / -12022
31Atoms And Nuclei
A hydrogen atom in ground state absorbs 12.09 eV of energy. The orbital angular momentum of the electron is increased by :
MCQ+4 / -12022
32Atoms And Nuclei
\(\sqrt {{d_1}}\) and \(\sqrt {{d_2}}\) are the impact parameters corresponding to scattering angles 60\(^\circ\) and 90\(^\circ\) respectively, when an \(\alpha\) particle is approaching a gold nucleus. For d1 = x d2, the value of x will...
INTEGER+4 / -12022
33Atoms And Nuclei
The activity of a radioactive material is 2.56 \(\times\) 10\(-\)3 Ci. If the half life of the material is 5 days, after how many days the activity will become 2 \(\times\) 10\(-\)5 Ci ?
MCQ+4 / -12022
34Atoms And Nuclei
The half life of a radioactive substance is 5 years. After x years a given sample of the radioactive substance gets reduced to 6.25% of its initial value. The value of x is ____________.
INTEGER+4 / -12022
35Atoms And Nuclei
In the following nuclear reaction,
\(D\buildrel \alpha \over \longrightarrow {D_1}\buildrel {{\beta ^ - }} \over \longrightarrow {D_2}\buildrel \alpha \over \longrightarrow {D_3}\buildrel \gamma \over \longrightarrow {D_4}\)
Mass num...
\(D\buildrel \alpha \over \longrightarrow {D_1}\buildrel {{\beta ^ - }} \over \longrightarrow {D_2}\buildrel \alpha \over \longrightarrow {D_3}\buildrel \gamma \over \longrightarrow {D_4}\)
Mass num...
MCQ+4 / -12022
36Atoms And Nuclei
Find the ratio of energies of photons produced due to transition of an electron of hydrogen atom from its (i) second permitted energy level to the first level, and (ii) the highest permitted energy level to the first permitted level.
MCQ+4 / -12022
37Atoms And Nuclei
Two radioactive materials A and B have decay constants \(25 \lambda\) and \(16 \lambda\) respectively. If initially they have the same number of nuclei, then the ratio of the number of nuclei of B to that of A will be "e" after a time $$\fr...
INTEGER+4 / -12022
38Atoms And Nuclei
Read the following statements :
(A) Volume of the nucleus is directly proportional to the mass number.
(B) Volume of the nucleus is independent of mass number.
(C) Density of the nucleus is directly proportional to the mass number.
(D) Dens...
(A) Volume of the nucleus is directly proportional to the mass number.
(B) Volume of the nucleus is independent of mass number.
(C) Density of the nucleus is directly proportional to the mass number.
(D) Dens...
MCQ+4 / -12022
39Atoms And Nuclei
The Q-value of a nuclear reaction and kinetic energy of the projectile particle, Kp are related as :
MCQ+4 / -12022
40Atoms And Nuclei
Following statements related to radioactivity are given below :
(A) Radioactivity is a random and spontaneous process and is dependent on physical and chemical conditions.
(B) The number of un-decayed nuclei in the radioactive sample decays...
(A) Radioactivity is a random and spontaneous process and is dependent on physical and chemical conditions.
(B) The number of un-decayed nuclei in the radioactive sample decays...
MCQ+4 / -12022
41Atoms And Nuclei
A freshly prepared radioactive source of half life 2 hours 30 minutes emits radiation which is 64 times the permissible safe level. The minimum time, after which it would be possible to work safely with source, will be _________ hours.
INTEGER+4 / -12022
42Atoms And Nuclei
The half life period of a radioactive substance is 60 days. The time taken for \(\frac{7}{8}\)th of its original mass to disintegrate will be :
MCQ+4 / -12022
43Atoms And Nuclei
A radioactive sample decays \(\frac{7}{8}\) times its original quantity in 15 minutes. The half-life of the sample is
MCQ+4 / -12022
44Atoms And Nuclei
A beam of monochromatic light is used to excite the electron in Li+ + from the first orbit to the third orbit. The wavelength of monochromatic light is found to be x \(\times\) 10\(-\)10 m. The value of x is ___________.
[Given hc = 1242 eV...
[Given hc = 1242 eV...
INTEGER+4 / -12022
45Atoms And Nuclei
A hydrogen atom in its ground state absorbs 10.2 eV of energy. The angular momentum of electron of the hydrogen atom will increase by the value of :
(Given, Planck's constant = 6.6 \(\times\) 10\(-\)34 Js).
(Given, Planck's constant = 6.6 \(\times\) 10\(-\)34 Js).
MCQ+4 / -12022
46Atoms And Nuclei
Given below are two statements :
Statement I : In hydrogen atom, the frequency of radiation emitted when an electron jumps from lower energy orbit (E1) to higher energy orbit (E2), is given as hf = E1 \(-\) E2
Statement II : The jumping of ...
Statement I : In hydrogen atom, the frequency of radiation emitted when an electron jumps from lower energy orbit (E1) to higher energy orbit (E2), is given as hf = E1 \(-\) E2
Statement II : The jumping of ...
MCQ+4 / -12022
47Atoms And Nuclei
What is the half-life period of a radioactive material if its activity drops to \(1 / 16^{\text {th }}\) of its initial value in 30 years?
MCQ+4 / -12022
48Atoms And Nuclei
The activity of a radioactive material is \(6.4 \times 10^{-4}\) curie. Its half life is 5 days. The activity will become \(5 \times 10^{-6}\) curie after :
MCQ+4 / -12022
49Atoms And Nuclei
How many alpha and beta particles are emitted when Uranium 92U238 decays to lead 82Pb206 ?
MCQ+4 / -12022
50Atoms And Nuclei
A radioactive nucleus can decay by two different processes. Half-life for the first process is 3.0 hours while it is 4.5 hours for the second process. The effective half-life of the nucleus will be:
MCQ+4 / -12022