1
IAT (IISER) 2024
MCQ (Single Correct Answer)
+4
-1
Consider a solid sphere of radius $R$ floating in a pond with half of the sphere submerged. The sphere is pushed vertically downwards at the topmost point and released, such that it executes a simple harmonic motion. Acceleration due to gravity is $g$. What is the time period of oscillation?
A
$2 \pi \sqrt{\frac{2 R}{g}}$
B
$2 \pi \sqrt{\frac{R}{g}}$
C
$2 \pi \sqrt{\frac{3 R}{2 g}}$
D
$2 \pi \sqrt{\frac{2 R}{3 g}}$
2
IAT (IISER) 2022
MCQ (Single Correct Answer)
+4
-1
As shown in the figure a block is resting on a frictionless floor and is attached to the free end of a spring. The right edge of the block in equilibrium is at a distance $d$ from the wall. When the spring is compressed by a distance $d / 2$ and released, the time-period of the motion is $T$. Similarly, when compressed by a distance $2 d$ and released, the time-period is $T_0$. Considering elastic collision between the block and the wall, what is the value of the quantity $T_0 / T$ ? IAT (IISER) 2022 Physics - Simple Harmonic Motion Question 1 English
A
$1 / 4$
B
1
C
$3 / 4$
D
$2 / 3$
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