Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 202315 AprilMorning Shift
Exam
JEE Main
Year
2023
Date
15 April
Shift
Morning Shift
Subject
Physics
Chapter
Oscillations

JEE Main 2023 · 15 April · Morning Shift · Physics · Oscillations

In a linear Simple Harmonic Motion (SHM) (A) Restoring force is...

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:

Options

  1. A(C)\left(C\right) and (D)\left(D\right) only
  2. B(A),\left(A\right),\left(C\right)and(D)and \left(D\right) only
  3. C(A),\left(A\right),\left(B\right)and(C)and \left(C\right) only
  4. D(A),\left(A\right),\left(B\right)and(D)and \left(D\right) only

Correct answer

C. (A),\left(A\right),\left(B\right)and(C)and \left(C\right) only

Step-by-step solution

The equations of SHM is given by

F=–kxF = – kx

⇒a=–ω2x⇒ a = – {\omega}^{2}x

Velocity is given by, v=ωA2−x2v = \omega\sqrt{{A}^{2} - {x}^{2}}.

Clearly, velocity is maximum at mean position and acceleration is maximum at extreme positions.

Hence, this is the correct option.

Practice Oscillations on Quantrex Academy →

More from Oscillations

A tank contains two immiscible liquids of densities 6ρ and 2ρ . The higher density liquid… JEE Advanced 2026The frequency of oscillation of a mass m suspended by a spring is v_1 . If the length of… JEE Main 2026A spring stretches by 2 mm when it is loaded with a mass of 200 g. From equilibrium… JEE Main 2026A particle is executing simple harmonic motion. Its amplitude is A and time period is 5… JEE Main 2026Match List-I with List-II. List-I List-II A. ^2 ω t I. Periodic with time period T =… JEE Main 2026A uniform disc of radius R and mass M is free to oscillate about the axis A as shown in… JEE Main 2026The velocity of a particle executing simple harmonic motion along x -axis is described as… JEE Main 2026The equation of motion of a particle is given by x = a (50t + (π)/(3)) cm. The particle… JEE Main 2026 Full Oscillations list All JEE Main PYQs