1
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
2
JEE Main 2025 (Online) 24th January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
A particle is executing simple harmonic motion with time period 2 s and amplitude 1 cm . If D and d are the total distance and displacement covered by the particle in 12.5 s , then $\frac{\mathrm{D}}{\mathrm{d}}$ is
A
$10$
B
$\frac{16}{5}$
C
$25$
D
$\frac{15}{4}$
3
JEE Main 2025 (Online) 23rd January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A light hollow cube of side length 10 cm and mass 10 g , is floating in water. It is pushed down and released to execute simple harmonic oscillations. The time period of oscillations is $y \pi \times 10^{-2} \mathrm{~s}$, where the value of $y$ is (Acceleration due to gravity, $g=10 \mathrm{~m} / \mathrm{s}^2$, density of water $=10^3 \mathrm{~kg} / \mathrm{m}^3$ )

A
2
B
4
C
1
D
6
4
JEE Main 2025 (Online) 22nd 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) : A simple pendulum is taken to a planet of mass and radius, 4 times and 2 times, respectively, than the Earth. The time period of the pendulum remains same on earth and the planet.

Reason (R) : The mass of the pendulum remains unchanged at Earth and the other planet.

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

A
Both (A) and (R) are true and (R) is the correct explanation of (A)
B
(A) is false but (R) is true
C
(A) is true but (R) is false
D
Both (A) and (R) are true but (R) is NOT the correct explanation of (A)
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