1
JEE Main 2025 (Online) 29th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Two bodies A and B of equal mass are suspended from two massless springs of spring constant k1 and k2, respectively. If the bodies oscillate vertically such that their amplitudes are equal, the ratio of the maximum velocity of A to the maximum velocity of B is

A

$ \sqrt{\frac{k_2}{k_1}} $

B

$ \sqrt{\frac{k_1}{k_2}} $

C

$ \frac{k_2}{k_1} $

D

$ \frac{k_1}{k_2} $

2
JEE Main 2025 (Online) 29th January Morning 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) : Time period of a simple pendulum is longer at the top of a mountain than that at the base of the mountain.

Reason (R) : Time period of a simple pendulum decreases with increasing value of acceleration due to gravity and vice-versa.

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

A

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

B

(A) is true but (R) is false.

C

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

D

(A) is false but (R) is true.

3
JEE Main 2025 (Online) 28th January 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) : Knowing initial position $\mathrm{x}_0$ and initial momentum $p_0$ is enough to determine the position and momentum at any time $t$ for a simple harmonic motion with a given angular frequency $\omega$.

Reason (R) : The amplitude and phase can be expressed in terms of $\mathrm{X}_0$ an $\mathrm{p}_0$.

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

A

(A) is true but (R) is false

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

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

4
JEE Main 2025 (Online) 24th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A particle oscillates along the $x$-axis according to the law, $x(\mathrm{t})=x_0 \sin ^2\left(\frac{\mathrm{t}}{2}\right)$ where $x_0=1 \mathrm{~m}$. The kinetic energy $(\mathrm{K})$ of the particle as a function of $x$ is correctly represented by the graph

A
JEE Main 2025 (Online) 24th January Evening Shift Physics - Simple Harmonic Motion Question 1 English Option 1
B
JEE Main 2025 (Online) 24th January Evening Shift Physics - Simple Harmonic Motion Question 1 English Option 2
C
JEE Main 2025 (Online) 24th January Evening Shift Physics - Simple Harmonic Motion Question 1 English Option 3
D
JEE Main 2025 (Online) 24th January Evening Shift Physics - Simple Harmonic Motion Question 1 English Option 4
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