Atoms and Nuclei PYQs - Last 10 Years

JEE Main / Physics / Modern Physics / 250 recent questions

PhysicsModern Physics2017-2026

All Atoms and Nuclei PYQs Last 5 Years Create chapter test

Practice 250 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.

250

PYQs on Page

Physics / Modern Physics

2017-2026

Year Range

Based on indexed question metadata

165

Last 5 Years

2022-2026

250

Last 10 Years

2017-2026

Recent Year Trend

2021

2022

2023

2024

2025

2026

202145 max PYQs/year2026

Question Types

250PYQs

MCQ75.6%

INTEGER24.4%

Difficulty Mix

#1 Easy134

#2 Medium112

#3 Hard4

165 in last 5 years250 in last 10 years

Last 10 Years Atoms and Nuclei Questions

Showing 50 of 250 filtered questions.

1Atoms And Nuclei

In the hydrogen spectrum, \(\lambda\) be the wavelength of first transition line of Lyman series. The wavelength difference will be "a\(\lambda\)'' between the wavelength of \(3^{\text {rd }}\) transition line of Paschen series and that of ...

INTEGER+4 / -12022

2Atoms And Nuclei

The disintegration rate of a certain radioactive sample at any instant is 4250 disintegrations per minute. 10 minutes later, the rate becomes 2250 disintegrations per minute. The approximate decay constant is :
\(\left(\right.\)Take $$\left...

3Atoms And Nuclei

Two lighter nuclei combine to form a comparatively heavier nucleus by the relation given below :
\({ }_{1}^{2} X+{ }_{1}^{2} X={ }_{2}^{4} Y\)
The binding energies per nucleon for \(\frac{2}{1} X\) and \({ }_{2}^{4} Y\) are $$1.1 \,\mathrm{...

INTEGER+4 / -12022

4Atoms And Nuclei

Mass numbers of two nuclei are in the ratio of \(4: 3\). Their nuclear densities will be in the ratio of

5Atoms And Nuclei

A nucleus of mass \(M\) at rest splits into two parts having masses \(\frac{M^{\prime}}{3}\) and \({{2M'} \over 3}(M' < M)\). The ratio of de Broglie wavelength of two parts will be :

6Atoms And Nuclei

The ratio for the speed of the electron in the 3rd orbit of He+ to the speed of the electron in the 3rd orbit of hydrogen atom will be :

7Atoms And Nuclei

Which of the following figure represents the variation of \({l_n}\left( {{R \over {{R_0}}}} \right)\) with \({l_n}A\) (if R = radius of a nucleus and A = its mass number)

8Atoms And Nuclei

The magnetic moment of an electron (e) revolving in an orbit around nucleus with an orbital angular momentum is given by :

9Atoms And Nuclei

The momentum of an electron revolving in \(\mathrm{n}^{\text {th }}\) orbit is given by :
(Symbols have their usual meanings)

10Atoms And Nuclei

\({x \over {x + 4}}\) is the ratio of energies of photons produced due to transition of an electron of hydrogen atom from its
(i) third permitted energy level to the second level and
(ii) the highest permitted energy level to the second per...

INTEGER+4 / -12022

11Atoms And Nuclei

Hydrogen atom from excited state comes to the ground state by emitting a photon of wavelength \(\lambda\). The value of principal quantum number '\(n\)' of the excited state will be : (\(\mathrm{R}:\) Rydberg constant)

12Atoms And Nuclei

Nucleus A is having mass number 220 and its binding energy per nucleon is 5.6 MeV. It splits in two fragments 'B' and 'C' of mass numbers 105 and 115. The binding energy of nucleons in 'B' and 'C' is 6.4 MeV per nucleon. The energy Q releas...

13Atoms And Nuclei

Choose the correct option from the following options given below :

14Atoms And Nuclei

A sample contains 10\(-\)2 kg each of two substances A and B with half lives 4 s and 8 s respectively. The ratio of their atomic weights is 1 : 2. The ratio of the amounts of A and B after 16 s is \({x \over {100}}\). The value of x is ____...

INTEGER+4 / -12022

15Atoms And Nuclei

In Bohr's atomic model of hydrogen, let K, P and E are the kinetic energy, potential energy and total energy of the electron respectively. Choose the correct option when the electron undergoes transitions to a higher level :

16Atoms And Nuclei

A sample of a radioactive nucleus A disintegrates to another radioactive nucleus B, which in turn disintegrates to some other stable nucleus C. Plot of a graph showing the variation of number of atoms of nucleus B versus time is :(Assume th...

17Atoms And Nuclei

A radioactive sample has an average life of 30 ms and is decaying. A capacitor of capacitance 200 \(\mu\)F is first charged and later connected with resistor 'R'. If the ratio of charge on capacitor to the activity of radioactive sample is ...

INTEGER+4 / -12021

18Atoms And Nuclei

In Bohr's atomic model, the electron is assumed to revolve in a circular orbit of radius 0.5 \(\mathop A\limits^o\). If the speed of electron is 2.2 \(\times\) 166 m/s, then the current associated with the electron will be _____________ $$...

INTEGER+4 / -12021

19Atoms And Nuclei

If 'f' denotes the ratio of the number of nuclei decayed (Nd) to the number of nuclei at t = 0 (N0) then for a collection of radioactive nuclei, the rate of change of 'f' with respect to time is given as :[\(\lambda\) is the radioactive dec...

20Atoms And Nuclei

The K\(\alpha\) X-ray of molybdenum has wavelength 0.071 nm. If the energy of a molybdenum atoms with a K electron knocked out is 27.5 keV, the energy of this atom when an L electron is knocked out will be __________ keV. (Round off to the ...

INTEGER+4 / -12021

21Atoms And Nuclei

Consider the following statements :A. Atoms of each element emit characteristics spectrum.B. According to Bohr's Postulate, an electron in a hydrogen atom, revolves in a certain stationary orbit.C. The density of nuclear matter depends on t...

22Atoms And Nuclei

There are 1010 radioactive nuclei in a given radioactive element, its half-life time is 1 minute. How many nuclei will remain after 30 seconds? \(\left( {\sqrt 2 = 1.414} \right)\)

23Atoms And Nuclei

X different wavelengths may be observed in the spectrum from a hydrogen sample if the atoms are exited to states with principal quantum number n = 6 ? The value of X is ______________.

INTEGER+4 / -12021

24Atoms And Nuclei

If \(\lambda\)1 and \(\lambda\)2 are the wavelengths of the third member of Lyman and first member of the Paschen series respectively, then the value of \(\lambda\)1 : \(\lambda\)2 is :

25Atoms And Nuclei

A radioactive sample is undergoing \(\alpha\) decay. At any time t1, its activity is A and another time t2, the activity is \({A \over 5}\). What is the average life time for the sample?

26Atoms And Nuclei

A particular hydrogen like ion emits radiation of frequency 2.92 \(\times\) 1015 Hz when it makes transition from n = 3 to n = 1. The frequency in Hz of radiation emitted in transition from n = 2 to n = 1 will be :

27Atoms And Nuclei

At time t = 0, a material is composed of two radioactive atoms A and B, where NA(0) = 2NB(0). The decay constant of both kind of radioactive atoms is \(\lambda\). However, A disintegrates to B and B disintegrates to C. Which of the followin...

28Atoms And Nuclei

The half-life of \({}^{198}Au\) is 3 days. If atomic weight of \({}^{198}Au\) is 198 g/mol then the activity of 2 mg of \({}^{198}Au\) is [in disintegration/second] :

29Atoms And Nuclei

Some nuclei of a radioactive material are undergoing radioactive decay. The time gap between the instances when a quarter of the nuclei have decayed and when half of the nuclei have decayed is given as :(where \(\lambda\) is the decay const...

30Atoms And Nuclei

The nuclear activity of a radioactive element becomes \({\left( {{1 \over 8}} \right)^{th}}\) of its initial value in 30 years. The half-life of radioactive element is _____________ years.

INTEGER+4 / -12021

31Atoms And Nuclei

From the given data, the amount of energy required to break the nucleus of aluminium \(_{13}^{27}\)Al is __________ x \(\times\) 10\(-\)3 J.Mass of neutron = 1.00866 uMass of proton = 1.00726 uMass of Aluminium nucleus = 27.18846 u(Assume 1...

INTEGER+4 / -12021

32Atoms And Nuclei

Two radioactive substances X and Y originally have N1 and N2 nuclei respectively. Half life of X is half of the half life of Y. After three half lives of Y, number of nuclei of both are equal. The ratio \({{{N_1}} \over {{N_2}}}\) will be e...

33Atoms And Nuclei

The wavelength of the photon emitted by a hydrogen atom when an electron makes a transition from n = 2 to n = 1 state is :

34Atoms And Nuclei

In the given figure, the energy levels of hydrogen atom have been shown along with some transitions marked A, B, C, D and E.The transitions A, B and C respectively represent :

35Atoms And Nuclei

According to Bohr atomic model, in which of the following transitions will the frequency be maximum?

36Atoms And Nuclei

A nucleus with mass number 184 initially at rest emits an \(\alpha\)-particle. If the Q value of the reaction is 5.5 MeV, calculate the kinetic energy of the \(\alpha\)-particle.

37Atoms And Nuclei

A radioactive material decays by simultaneous emissions of two particles with half lives of 1400 years and 700 years respectively. What will be the time after which one third of the material remains ? (Take ln 3 = 1.1)

38Atoms And Nuclei

A nucleus of mass M emits \(\gamma\) -ray photon of frequency 'v'. The loss of internal energy by the nucleus is :[Take 'c' as the speed of electromagnetic wave]

39Atoms And Nuclei

A radioactive substance decays to \({\left( {{1 \over {16}}} \right)^{th}}\) of its initial activity in 80 days. The half life of the radioactive substance expressed in days is ____________.

INTEGER+4 / -12021

40Atoms And Nuclei

For a certain radioactive process the graph between In R and t(sec) is obtained as shown in the figure. Then the value of half life for the unknown radioactive material is approximately :

41Atoms And Nuclei

The half life period of radioactive element x is same as the mean life time of another radioactive element y. Initially they have the same number of atoms. Then :

42Atoms And Nuclei

A radioactive sample disintegrates via two independent decay processes having half lives \(T_{1/2}^{(1)}\) and \(T_{1/2}^{(2)}\) respectively. The effective half-life T1/2 of the nuclei is :

43Atoms And Nuclei

Imagine that the electron in a hydrogen atom is replaced by a muon (\(\mu\)). The mass of muon particle is 207 times that of an electron and charge is equal to the charge of an electron. The ionization potential of this hydrogen atom will b...

44Atoms And Nuclei

The decay of a proton to neutron is :

45Atoms And Nuclei

Which level of the single ionized carbon has the same energy as the ground state energy of hydrogen atom?

46Atoms And Nuclei

If an electron is moving in the nth orbit of the hydrogen atom, then its velocity (vn) for the nth orbit is given as :

47Atoms And Nuclei

The atomic hydrogen emits a line spectrum consisting of various series. Which series of hydrogen atomic spectra is lying in the visible region?

48Atoms And Nuclei

A particle of mass m moves in a circular orbit in a central potential field U(r) = U0r4. If Bohr's quantization conditions are applied, radii of possible orbitals rn vary with \({n^{{1 \over \alpha }}}\), where \(\alpha\) is ____________.

INTEGER+4 / -12021

49Atoms And Nuclei

The first three spectral lines of H-atom in the Balmer series are given \(\lambda\)1, \(\lambda\)2, \(\lambda\)3 considering the Bohr atomic model, the wave lengths of first and third spectral lines $$\left( \frac{\lambda_{1} }{\lambda_{3} ...

INTEGER+4 / -12021

50Atoms And Nuclei

Calculate the time interval between 33% decay and 67% decay if half-life of a substance is 20 minutes.