1
IAT (IISER) 2024
MCQ (Single Correct Answer)
+4
-1
On a circular track, two cyclists, Abhijit and Vani, start moving in opposite directions from a point. Abhijit moves with a constant speed. Vani starts with a constant acceleration from rest. They meet again on the track with the same speed. Which of the following is correct?
A
Abhijit travelled the same distance travelled by Vani.
B
Abhijit travelled half the distance travelled by Vani.
C
Abhijit travelled double the distance travelled by Vani.
D
Abhijit travelled $4 / 3$ of the distance travelled by Vani.
2
IAT (IISER) 2024
MCQ (Single Correct Answer)
+4
-1

Consider a simple pendulum undergoing simple harmonic motion with a time period $T$, and a fixed amplitude $\theta_0$ of angular oscillation. Its angular momentum about the point of suspension exhibits an oscillatory behaviour with an amplitude $A$. Which of the following relations between $A$ and $T$ is correct?

A
$A \propto T^1$
B
$A \propto T^2$
C
$A \propto T^3$
D
$A \propto T^4$
3
IAT (IISER) 2024
MCQ (Single Correct Answer)
+4
-1
An inextensible cord of negligible mass passes over the rim of a solid disc of mass $M$ and radius $R$. The disc is free to rotate about an axis passing through the centre perpendicular to the plane of the screen, as shown in the figure. Two blocks of masses $M$ and $\widetilde{M} / 2$ are attached to the two free ends of the cord. Assume that there is no slipping of the cord on the disc. The acceleration due to gravity is $g$. What is the value of the angular acceleration of the disc? IAT (IISER) 2024 Physics - Rotational Motion Question 1 English
A
$g / R$
B
$g / 2 R$
C
$g / 3 R$
D
$g / 4 R$
4
IAT (IISER) 2024
MCQ (Single Correct Answer)
+4
-1
Consider the motion of a particle along the $x$-axis. The position of the particle varies with time as $x(t)=\sin ^2(\omega t) \cos ^3(\omega t)$, where $\omega$ is a constant. What is the time period of the motion?
A
$\frac{2 \pi}{\omega}$
B
$\frac{2 \pi}{3 \omega}$
C
$\frac{2 \pi}{5 \omega}$
D
$\frac{2 \pi}{15 \omega}$
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