1
JEE Main 2026 (Online) 21st January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The energy of an electron in an orbit of the Bohr's atom is $-0.04E_0$ eV where $E_0$ is the ground state energy. If $L$ is the angular momentum of the electron in this orbit and $h$ is the Planck's constant, then

$ \frac{2\pi L}{h} $ is ________ :

A

6

B

2

C

5

D

4

2
JEE Main 2026 (Online) 21st January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

If an alpha particle with energy 7.7 MeV is bombarded on a thin gold foil, the closest distance from nucleus it can reach is $\_\_\_\_$ m. (Atomic number of gold $=79$ and $\frac{1}{4 \pi \epsilon_{\mathrm{o}}}=9 \times 10^9$ in SI units)

A

$2.95 \times 10^{-16}$

B

$3.85 \times 10^{-14}$

C

$2.95 \times 10^{-14}$

D

$3.85 \times 10^{-16}$

3
JEE Main 2025 (Online) 8th April Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

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

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

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

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)

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