Nuclei

Which of following reaction is correct ? (Where symbols have their usual meanings)

(Shift - I Memory Based)

Energy released when two deuterons \(({{}_{1}H}^{2})\) fuse to form a helium nucleus \(({{}_{2}He}^{4})\) is :
(Given : Binding energy per nucleon of \({{}_{1}H}^{2}=1.1MeV\) and binding energy per nucleon of \({{}_{2}He}^{4}=7.0MeV\) )

The difference in mass of \({ }^7 \mathrm{X}\) nucleus and total mass of its constituent nucleons is \(21.00 \mathrm{u}\). The binding energy per nucleon for this nucleus is equal to the energy equivalent of :

Isotones are nuclides having :

The potential energy between two nucleons inside a nucleus is minimum at a distance of about

Isotones are nuclides having :

A radioactive nucleus \(\mathrm{n}_2\) has 3 times the decay constant as compared to the decay constant of another radioactive nucleus \(n_1\). If initial number of both nuclei are the same, what is the ratio of number of nuclei of \(n_2\) to the number of nuclei of \(n_1\), after one half-life of \(n_1\) ?

[JEE Main 2025, 23 Jan (Shift 1)]

Isotones are nuclides having :

Which of the following statements is not true for nuclear forces?

The potential energy between two nucleons inside a nucleus is minimum at a distance of about

The energy equivalent of 1 g of substance is :

The energy equivalent of 1 g of substance is :

Choose the correct nuclear process from the below options
[p: proton, n : neutron, \({e}^{-}:\)electron, \({e}^{+}:\) positron, \(\nu\) : neutrino, \(\nu\): antineutrino]

Isotones are nuclides having :

The potential energy between two nucleons inside a nucleus is minimum at a distance of about

The ratio of the nuclear densities of two nuclei having mass numbers 64 and 125 is

The energy equivalent of \( 0.5 \mathrm{~g} \) of a substance is:

Assertion (A) and Reason (R) type questions. Two statements are given — one labelled Assertion (A) and the other labelled Reason (R).
Select the correct answer from the codes (A), (B), (C) and (D)as given below.

Assertion (A) : Nuclear fission reactions are responsible for energy generation in the Sun.

Reason (R) : Light nuclei fuse together in the nuclear fission reactions.

The mass density of a nucleus of mass number \(A\) is :

Assertion (A): The nucleus \({ }_3^7 X\) is more stable than the nucleus \({ }_3^4 Y\).
Reason (R): \(\quad{ }_3^7 X\) contains more number of protons.

The half life of a radioactive nuclide is 100 hours . The fraction of original activity that will remain after 150 hours would be:

For a nucleus of mass number A and radius R, the mass density of nucleus can be represented as

The curve of binding energy per nucleon as a function of atomic mass number has a sharp peak for helium nucleus. This implies that helium nucleus is

The half life of a radioactive substance is 20 minutes. In how much time, the activity of substance drops to \({\left(\frac{1}{16}\right)}^{\mathrm{th}}\) of its initial value?

Binding energy of a certain nucleus is 18 × 10⁸ J. How much is the difference between total mass of all the nucleons and nuclear mass of the given nucleus;