Q JEE MAIN 2026

Given below are two statements: Statement I: For all elements, greater the mass of the nucleus, greater is the binding...

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Q JEE MAIN 2026

The average energy released per fission for the nucleus of ${ }_{92}^{235} \mathrm{U}$ is 190 MeV . When all the...

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Q JEE MAIN 2026

Which of the following pair of nuclei are isobars of the element?

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Q JEE MAIN 2026

The minimum frequency of photon required to break a particle of mass 15.348 amu into $4 \alpha$ particles is $\_\_\_\_$...

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Q JEE MAIN 2026

Light is incident on a metallic plate having work function $110 \times 10^{-20} \mathrm{~J}$. If the produced photoelectrons have zero...

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Q JEE-MAIN 2019

A particle of mass $m$ moves in a circular orbit in a central potential field $U(r)=\frac{1}{2} k r^2$. If Bohr's...

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Q JEE-MAIN 2019

A particle A of mass ‘m’ and charge ‘q’ is accelerated by a potential difference of 50 V. Another particle...

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Q JEE MAIN_2019_

Two radioactive materials A and B have decay constants $10 \lambda$ and $\lambda$, respectively. If initially they have the same...

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Q JEE MAIN 2019

The number density of molecules of a gas depends on their distance $r$ from the origin as $n(r)=n_0 e^{\alpha r^4}$....

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Q JEE MAIN 2019

Half lives of two radioactive nuclei A and B are 10 minutes and 20 minutes, respectively. If, initially a sample...

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Q JEE MAIN 2019

An alpha-particle of mass m suffers 1-dimensional elastic collision with a nucleus at rest of unknown mass. It is scattered...

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Q JEE MAIN 2019

In a radioactive decay chain, the initial nucleus is ${ }_{90}^{232}$ th at the end there are $6 \alpha$-particles and...

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Q JEE MAIN 2020

Given the masses of various atomic particles $\mathrm{m}_{\mathrm{p}}= 1.0072 \mathrm{u}, \mathrm{m}_{\mathrm{n}}=1.0087 \mathrm{u}, \mathrm{m}_{\mathrm{e}}=0.000548 \mathrm{u}$, $\mathrm{m}_{\mathrm{v}}^{-}=0, \quad \mathrm{~m}_{\mathrm{d}}=2.0141 \mathrm{u}$, where $...

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Q JEE MAIN 2019

If the deBroglie wavelength of an electron is equal to $10^{-3}$ times the wavelength of a photon of frequency $...

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Q JEE MAIN 2020

Activities of three radioactive substances $\mathrm{A}, \mathrm{B}$ and C are represented by the curves $\mathrm{A}, \mathrm{B}$ and C , in...

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Q JEE MAIN 2019

A hydrogen atom, initially in the ground state is excited by absorbing a photon of wavelength $980 \AA$. The radius...

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Q JEE-MAIN 2020

A radioactive nucleus decays by two different processes. The half life for the first process is 10 s and that...

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Q JEE MAIN 2019

Two radioactive substances $A$ and $B$ have decay constants $5 \lambda$ and $\lambda$ respectively. At $\mathrm{t}=0$, a sample has the...

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Q JEE Main 2019

Using a nuclear counter the count rate of emitted particles from a radioactive source is measured. At t = 0...

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Q JEE MAIN 2019

In a photoelectric experiment, the wavelength of the light incident on a metal is changed from 30 nm . The...

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Q JEE MAIN 2019

In a hydrogen like atom, when an electron jumps from the M-shell to the L-shell, the wavelength of emitted radiation...

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Q JEE MAIN 2020

Find the binding energy per nucleon for ${ }_{50}^{120} \mathrm{Sn}$. Mass of proton $m_p=1.00783 \mathrm{U}$, mass of neutron $m_n=1.00867 \mathrm{U}$...

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Q JEE-MAIN 2020

The radius $R$ of a nucleus of mass number $A$ can be estimated by the formula $...

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Q JEE MAIN 2019

At a given instant, say $t=0$, two radioactive substances $A$ and $B$ have equal activities. The ratio $\frac{R_B}{R_A}$ of their...

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Q JEE MAIN 2021

A sample of a radioactive nucleus A disintegrates to another radioactive nucleus B, which in turn disintegrates to some other...

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Q JEE MAIN 2021

Consider the following statements : A. Atoms of each element emit characteristics spectrum. B. According to Bohr’s Postulate, an electron...

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Q JEE MAIN 2021

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

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Q JEE MAIN 2021

From the given data, the amount of energy required break the nucleus of aluminium ${ }_{13}^{27} \mathrm{Al}$ is $\_\_\_\_$ $...

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Q JEE-MAIN 2021

The half life period of radioactive element x is same as the mean life time of another radioactive element y....

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Q JEE MAIN 2021

Consider the following statements : A. Atoms of each element emit characteristics spectrum. B. According to Bohr’s Postulate, an electron...

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Q JEE-MAIN 2021

The half-life of ${ }^{198} \mathrm{Au}$ is 3 days. If atomic weight of ${ }^{198} \mathrm{Au}$ is $...

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Q JEE-MAIN

Some muclei of a radioactive material are undergoing radioactive decay. The time gap between the instances when a quarter of...

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Q JEE MAIN 2021

A nucleus with mass number 184 initially at rest emits an $\alpha$-particle. If the Q value of the reaction is...

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Q JEE MAIN 2019

The ratio of mass densities of nuclei ${ }^{40} \mathrm{Ca}$ and ${ }^{16} \mathrm{O}$ is close to :

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Q JEE MAIN 2021

A nucleus of mass M emits -ray photon of frequency ‘v’. The loss of internal energy by the nucleus is...

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Q JEE MAIN 2019

A nucleus $A$, with a finite de-Broglie wavelength $\lambda_A$, undergoes spontaneous fission into two nuclei $B$ and $C$ of equal...

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Q JEE MAIN 2021

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

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Q JEE MAIN 2021

A radioactive material decays by simultaneous emissions of two particles with half lives of 1400 years and 700 years respectively....

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Q JEE MAIN 2021

For a certain radioactive process the graph between In R and t(sec) is obtained as shown in the figure. Then...

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Q JEE MAIN 2021

10. The half life period of radioactive element x is same as the mean life time of another radioactive element...

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Q JEE MAIN 2022

The activity of a radioactive material is $6.4 \times 10^{-4}$ curie. Its half life is 5 days. The activity will...

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Q JEE Main 2019

A sample of radioactive material A , that has an activity of $10 \mathrm{mCi}\left(1 \mathrm{Ci}=3.7 \times 10^{10}\right.$ decays $\left./ \mathrm{s}\right)$,...

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Q JEE MAIN 2021

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

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Q JEE MAIN 2021

The half-life of $\mathrm{Au}^{198}$ is 2.7 days. The activity of 1.50 mg of $\mathrm{Au}^{198}$ if its atomic weight is $...

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Q JEE MAIN 2021

A radioactive sample is undergoing $\alpha$ decay. At any time $t_1$, its activity is A and another time $t_2$, the...

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Q JEE MAIN 2022

Following statements related to radioactivity are given below: (A) Radioactivity is a random and spontaneous process and is dependent on...

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Q JEE MAIN 2022

Two radioactive materials A and B have decay constants $25 \lambda$ and $16 \lambda$ respectively. If initially they have the...

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Q JEE MAIN 2022

Two lighter nuclei combine to form a comparatively heavier nucleus by the relation given below: $$ { }_1^2 \mathrm{X}+{ }_1^2...

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Q JEE MAIN 2022

A radioactive sample decays $\frac{7}{4}$ times its original quantity in 15 minutes. The half-life of the sample is

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Q JEE MAIN 2022

Read the following statements : (A) Volume of the nucleus is directly proportional to the mass number. (B) volume o...

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Q JEE MAIN 2022

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

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Q JEE Main 2022_

A freshly prepared radioactive source of half life 2 hours 30 minutes emits radiation which is 64 times the permissible...

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Q _JEE Main 2022_

The half life period of a radioactive substance is 60 days. The time taken for $\frac{7}{8}$ th of its original...

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Q JEE MAIN 2022

A nucleus of mass $M$ at rest splits into two parts having masses $\frac{M^{\prime}}{3}$ and $\frac{2 M^{\prime}}{3}\left(M^{\prime}

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Q JEE MAIN 2022

The disintegration rate of a certain radioactive sample at any instant is 4250 disintegrations per minute. 10 minutes later, the...

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Q JEE MAIN 2022

A travelling microscope is used to determine the refractive index of a glass slab. If 40 divisions are there in...

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Q JEE MAIN 2022

A radioactive nucleus can decay by two different processes. Half-life for the first process is 3.0 hours while it is...

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Q JEE MAIN 2022

How many alpha and beta particles are emitted when Uranium ${ }_{92} \mathrm{U}^{238}$ decays to lead $82 \mathrm{~Pb}^{206}$?

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Q JEE Main 2022

The activity of a radioactive material is $2.56 \times 10^{-3} \mathrm{Ci}$. If the half life of the material is 5...

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Q JEE MAIN 2024

From the statements given below : (A) The angular momentum of an electron in orbit is an integral multiple of...

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Q JEE MAIN 2024

In a nuclear fission reaction of an isotope of mass $M$, three similar daughter nuclei of same mass are formed....

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Q JEE MAIN 2023

Experimentally it is found that 12.8 eV energy is required to separate a hydrogen atom into a proton and an...

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Q JEE MAIN_2023

A nucleus disintegrates into two smaller parts, which have their velocities in the ratio 3 : 2. The ratio of...

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Q JEE MAIN 2025

For a nucleus of mass number and radius , the mass density of nucleus can be represented as 1.

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Q JEE MAIN 2025

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R)....

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Q JEE MAIN 2025

A radioactive material first decays into Q and then Q decays to non-radioactive material . Which of the following figure...

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Q JEE MAIN 2023

A radio-active material is reduced to $1 / 8$ of its original amount in 3 days. If $...

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Q JEE MAIN 2023

The half-life of a radioactive substance is $T$. The time taken, for disintegrating $\frac{7}{8}$ th part of its original mass...

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Q JEE MAIN_2023

The energy released per fission of nucleus of 240X is 200 MeV. The energy released if all the atoms in...

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Q JEE MAIN 2023

Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R....

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Q JEE MAIN_2023

Substance A has atomic mass number 16 and half life of 1 day. Another substance B has atomic mass number...

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Q JEE MAIN_2023

An $\alpha$-particle, a proton and an electron have the same kinetic energy. Which one of the following is correct in...

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Q JEE MAIN 2023

A nucleus with mass number 242 and binding energy per nucleon as 7.6 MeV breaks into fragment each with mass...

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Q JEE MAIN 2023

For a nucleus having mass number A and atomic number Z A. The surface energy per nucleon (bs) = a1A2/3...

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Q JEE MAIN 2023

A radioactive element ${ }_{92}^{242} \mathrm{X}$ emits two $\alpha$-particles, one electron and two positrons. The product nucleus is represented by...

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Q JEE MAIN 2023

If a radioactive element having half-life of 30 min is undergoing beta decay, the fraction of radioactive element remains undecayed...

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Q JEE MAINS 2024

The ratio of the density of oxygen nucleus and helium nucleus is

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Q JEE MAINS 2024

The mass defect in a particular reaction is 0.4 g . The amount of energy liberated is $...

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Q JEE MAIN 2024

If three helium nuclei combine to form a carbon nucleus then the energy released in this reaction is ............ ×...

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Q JEE MAIN 2024

Which of the following nuclear fragments corresponding to nuclear fission between neutron $\left(\begin{array}{l}1 \\ 0\end{array} \mathrm{n}\right)$ and uranium isotope $...

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Q JEE MAIN 2024

The explosive in a Hydrogen bomb is a mixture of ${ }_1 \mathrm{H}^2,{ }_1 \mathrm{H}^3$ and ${ }_3 \mathrm{Li}^6$ in...

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Q JEE MAIN 2025

Energy released when two deuterons $\left({ }_{1} H^{2}\right)$ fuse to form a helium nucleus $\left({ }_{2} H e^{4}\right)$ is :...

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Q JEE MAIN 2024

In a nuclear fission process, a high mass nuclide $(\mathrm{A} \approx 236)$ with binding energy $7.6 \mathrm{MeV} /$ Nucleon dissociated...

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Q JEE MAIN 2025

Match the LIST-I with LIST-II Choose the correct answer from the options given below:

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Q JEE MAIN 2025

Choose the correct nuclear process from the below options [p : proton, n : neutron, ${{\rm{e}}^-}$ : electron, ${{\rm{e}}^+}$ :...

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Q JEE MAIN 2025

During the transition of electron from state A to state C of a Bohr atom, the wavelength of emitted radiation...

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Q JEE MAIN 2025

A radioactive nucleus $n_2$ has 3 times the decay constant as compared to the decay constant of another radioactive nucleus...

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Q JEE MAIN 2025

Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion...

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