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) 7th April Morning Shift
MCQ (Single Correct Answer)
+4
-1

In a hydrogen like ion, the energy difference between the $2^{\text {nd }}$ excitation energy state and ground is 108.8 eV . The atomic number of the ion is:

A
1
B
4
C
3
D
2
4
JEE Main 2025 (Online) 7th April Morning Shift
MCQ (Single Correct Answer)
+4
-1

For a hydrogen atom, the ratio of the largest wavelength of Lyman series to that of the Balmer series is

A
$5: 27$
B
$27: 5$
C
$3: 4$
D
$5: 36$
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