JEE Main 2024 (Online) 1st February Morning Shift | Simple Harmonic Motion Question 34 | Physics

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 $\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2$ )

$0.20 \mathrm{~m}$

$0.40 \mathrm{~m}$

$0.30 \mathrm{~m}$

$0.35 \mathrm{~m}$

JEE Main 2024 (Online) 29th January Evening Shift

MCQ (Single Correct Answer)

-1

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

$$5 \sqrt{6} \mathrm{~ms}^{-1}$$

$$5 \sqrt{5} \mathrm{~ms}^{-1}$$

$$2 \sqrt{5} \mathrm{~ms}^{-1}$$

$$6 \sqrt{5} \mathrm{~ms}^{-1}$$

JEE Main 2023 (Online) 15th April Morning Shift

MCQ (Single Correct Answer)

-1

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:

${\text {(A), (B) and (D) only }}$

(A), (B) and (C) Only

(A), (C) and (D) only

JEE Main 2023 (Online) 13th April Evening Shift

MCQ (Single Correct Answer)

-1

A particle executes SHM of amplitude A. The distance from the mean position when its's kinetic energy becomes equal to its potential energy is :

$$\frac{1}{\sqrt{2}} A$$

$$\frac{1}{2} A$$

$$2 \mathrm{~A}$$

$$\sqrt{2 A}$$

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