1
JEE Main 2024 (Online) 1st February Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
A simple pendulum of length $1 \mathrm{~m}$ has a wooden bob of mass $1 \mathrm{~kg}$. It is struck by a bullet of mass $10^{-2} \mathrm{~kg}$ moving with a speed of $2 \times 10^2 \mathrm{~ms}^{-1}$. The bullet gets embedded into the bob. The height to which the bob rises before swinging back is. (use $\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2$ )
A
$0.20 \mathrm{~m}$
B
$0.40 \mathrm{~m}$
C
$0.30 \mathrm{~m}$
D
$0.35 \mathrm{~m}$
2
JEE Main 2024 (Online) 29th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The bob of a pendulum was released from a horizontal position. The length of the pendulum is $$10 \mathrm{~m}$$. If it dissipates $$10 \%$$ of its initial energy against air resistance, the speed with which the bob arrives at the lowest point is:

[Use, $$\mathrm{g}: 10 \mathrm{~ms}^{-2}$$]

A
$$5 \sqrt{6} \mathrm{~ms}^{-1}$$
B
$$5 \sqrt{5} \mathrm{~ms}^{-1}$$
C
$$2 \sqrt{5} \mathrm{~ms}^{-1}$$
D
$$6 \sqrt{5} \mathrm{~ms}^{-1}$$
3
JEE Main 2024 (Online) 27th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A ball suspended by a thread swings in a vertical plane so that its magnitude of acceleration in the extreme position and lowest position are equal. The angle $$(\theta)$$ of thread deflection in the extreme position will be :

A
$$\tan ^{-1}\left(\frac{1}{2}\right)$$
B
$$2 \tan ^{-1}\left(\frac{1}{2}\right)$$
C
$$2 \tan ^{-1}\left(\frac{1}{\sqrt{5}}\right)$$
D
$$\tan ^{-1}(\sqrt{2})$$
4
JEE Main 2023 (Online) 15th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
In a linear Simple Harmonic Motion (SHM)

(A) Restoring force is directly proportional to the displacement.

(B) The acceleration and displacement are opposite in direction.

(C) The velocity is maximum at mean position.

(D) The acceleration is minimum at extreme points.

Choose the correct answer from the options given below:
A
${\text {(A), (B) and (D) only }}$
B
(C) and (D) only
C
(A), (B) and (C) Only
D
(A), (C) and (D) only
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