1
JEE Main 2025 (Online) 8th April Evening Shift
MCQ (Single Correct Answer)
+4
-1

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

A

$A^{\frac{2}{3}}$

B

Independent of A

C

$A^3$

D

$A^{\frac{1}{3}}$

2
JEE Main 2025 (Online) 7th April Evening Shift
MCQ (Single Correct Answer)
+4
-1

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

Assertion (A): The density of the copper $(^ {64}_{29} \text{Cu})$ nucleus is greater than that of the carbon $(^ {12}_{6} \text{C})$ nucleus.

Reason (R): The nucleus of mass number A has a radius proportional to $ A^{1/3} $.

In the light of the above statements, choose the most appropriate answer from the options given below:

A

(A) is correct but (R) is not correct

B

Both (A) and (R) are correct but (R) is not the correct explanation of (A)

C

(A) is not correct but (R) is correct

D

Both (A) and (R) are correct and (R) is the correct explanation of (A)

3
JEE Main 2025 (Online) 3rd April Morning Shift
MCQ (Single Correct Answer)
+4
-1

$$ \text { Match the LIST-I with LIST-II } $$

List - I
List - II
A. $$
{ }_0^1 \mathrm{n}+{ }_{92}^{235} \mathrm{U} \rightarrow{ }_{54}^{140} \mathrm{Xe}+{ }_{38}^{94} \mathrm{Sr}+2{ }_0^1 \mathrm{n}
$$
I. $$
\text { Chemical reaction }
$$
B. $$
2 \mathrm{H}_2+\mathrm{O}_2 \rightarrow 2 \mathrm{H}_2 \mathrm{O}
$$
II. $$
\text { Fusion with +ve } \mathrm{Q} \text { value }
$$
C. $$
{ }_1^2 \mathrm{H}+{ }_1^2 \mathrm{H} \rightarrow{ }_2^3 \mathrm{He}+{ }_0^1 \mathrm{n}
$$
III. $$
\text { Fission }
$$
D. $$
{ }_1^1 \mathrm{H}+{ }_1^3 \mathrm{H} \rightarrow{ }_1^2 \mathrm{H}+{ }_1^2 \mathrm{H}
$$
IV. $$
\text { Fusion with -ve } Q \text { value }
$$
$$ \text { Choose the correct answer from the options given below: } $$
A
A-II, B-I, C-III, D-IV
B
A-III, B-I, C-II, D-IV
C
A-III, B-I, C-IV, D-II
D
A-II, B-I, C-IV, D-III
4
JEE Main 2025 (Online) 2nd April Evening Shift
MCQ (Single Correct Answer)
+4
-1
Energy released when two deuterons $\left({ }_1 \mathrm{H}^2\right)$ fuse to form a helium nucleus $\left({ }_2 \mathrm{He}^4\right)$ is : (Given : Binding energy per nucleon of ${ }_1 \mathrm{H}^2=1.1 \mathrm{MeV}$ and binding energy per nucleon of ${ }_2 \mathrm{He}^4=7.0 \mathrm{MeV}$ )
A
26.8 MeV
B
8.1 MeV
C
23.6 MeV
D
5.9 MeV
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