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) (A), (B) and (D) only (b) (C) and (D) only (c) (A), (B) and (C) Only (d) (A), (C) and (D) only

Answer: (c). (A) True: F = -kx, so |F| ∝ x. (B) True: a = -ω² x, opposite to displacement. (C) True: v = ω√(A² - x²) is maximum at x = 0. (D) False: |a| = ω² |x| is maximum at the extreme points. So the answer is (c) (A), (B) and (C) only.

In a linear Simple Harmonic Motion (SHM) (A) Restoring force is… | JEE Main 2023 (15 Apr, Shift 1)

Q31JEE Main 2023 · 15 APR · SHIFT 1Easy

Periodic Motion & SHM Basics

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.

(D) The acceleration is minimum at extreme points.

Choose the correct answer from the options given below:

Show answer and solution

Answer: (c)

(A) True: $F = -kx$ , so $|F| \propto x$ .
(B) True: $a = -\omega^2 x$ , opposite to displacement.
(C) True: $v = \omega\sqrt{A^2 - x^2}$ is maximum at $x = 0$ .
(D) False: $|a| = \omega^2 |x|$ is maximum at the extreme points.
So the answer is (c) (A), (B) and (C) only.

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Periodic Motion & SHM Basics question from JEE Main 2023 (15 Apr, Shift 1)

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