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JEE Main 2025 (Online) 29th January Morning 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) : Emission of electrons in photoelectric effect can be suppressed by applying a sufficiently negative electron potential to the photoemissive substance.

Reason (R) : A negative electric potential, which stops the emission of electrons from the surface of a photoemissive substance, varies linearly with frequency of incident radiation.

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

A

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

B

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

C

(A) is false but (R) is true

D

(A) is true but (R) is false

2

JEE Main 2025 (Online) 29th January Morning Shift

MCQ (Single Correct Answer)

+4

-1

At the interface between two materials having refractive indices $n_1$ and $n_2$, the critical angle for reflection of an em wave is $\theta_{1C}$. The $\mathrm{n}_2$ material is replaced by another material having refractive index $n_3$ such that the critical angle at the interface between $n_1$ and $n_1$ materials is $\theta_{2 C}$. If $n_3>n_2>n_1 ; \frac{n_2}{n_3}=\frac{2}{5}$ and $\sin \theta_{2 C}-\sin \theta_{1 C}=\frac{1}{2}$, then $\theta_{1 C}$ is :

A

$ \sin^{-1}\left( \frac{1}{6n_1} \right) $

B

$ \sin^{-1}\left( \frac{1}{3n_1} \right) $

C

$ \sin^{-1}\left( \frac{5}{6n_1} \right) $

D

$ \sin^{-1}\left( \frac{2}{3n_1} \right) $

3

JEE Main 2025 (Online) 29th January Morning Shift

MCQ (Single Correct Answer)

+4

-1

Match List - I with List - II.

List - I	List - II
(A) Electric field inside (distance r > 0 from center) of a uniformly charged spherical shell with surface charge density σ, and radius R.	(I) σ/ε₀
(B) Electric field at distance r>0 from a uniformly charged infinite plane sheet with surface charge density σ.	(II) σ/2ε₀
(C) Electric field outside (distance r>0 from center) of a uniformly charged spherical shell with surface charge density σ, and radius R.	(III) 0
(D) Electric field between 2 oppositely charged infinite plane parallel sheets with uniform surface charge density σ.	(IV) $\frac{\sigma}{\epsilon_0 r^2}$

Choose the correct answer from the options given below :

A

(A)-(IV), (B)-(I), (C)-(III), (D)-(II)

B

(A)-(II), (B)-(I), (C)-(IV), (D)-(III)

C

(A)-(III), (B)-(II), (C)-(IV), (D)-(I)

D

(A)-(IV), (B)-(II), (C)-(III), (D)-(I)

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