Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NEETPhysicsOscillations

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): For a particle executing simple harmonic motion with amplitude A and time period T , the magnitude of its average acceleration from the mean position to the positive extreme position is 8 A T^2 . Reason (R): Average acceleration is the ratio of the total change in velocity to the total time taken,

Options

  1. ABoth Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A)
  2. BBoth Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A)
  3. CAssertion (A) is true but Reason (R) is false
  4. DAssertion (A) is false but Reason (R) is true

Correct answer

A. Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A)

Step-by-step solution

The Reason statement correctly defines average acceleration as the ratio of total change in velocity to total time taken ( a_ avg = v t ). For a particle moving from the mean position to the positive extreme position in SHM: Initial velocity at the mean position, v_i = A Final velocity at the extreme position, v_f = 0 Time taken to travel from mean to extreme, t = T 4 Therefore, the Reason is true. Using these values to calculate average acceleration: a_ avg = v_f - v_i t = 0 - A T 4 = -4A T Since = 2 T , we can su

Practice Oscillations on Quantrex Academy →

More from Oscillations

A simple pendulum oscillating in air has a period of 3 second. If it is immersed in a non-viscous liquid, having density = ( 1 x ) , where is the density of the material of the bob 2026Identify the equation that DOES NOT represent oscillatory motion. ( A is amplitude of motion) 2026The potential energy of a simple harmonic oscillator when the particle is at 3 4 A , is ( A is the amplitude of oscillation and E is the total energy of the oscillator) 2026Two SHM's x₁ = a ( t + 3 2 ) and x₂ = a ( t + ) are superimposed on each other. The resultant amplitude of motion is ( /2 = 1 and /2 = 0) 2026The average acceleration of a particle performing S.H.M. over two complete oscillations is (A = amplitude, = angular frequency) 2026The periodic time of a simple pendulum, (the simple pendulum with its bob is in air) is T. But if the bob of the simple pendulum is completely immersed in a non viscous liquid, who 2026The graph shows variation of displacement of a particle performing SHM with time t. which of the following statements is correct from the graph? 2026Two particles A and B execute S.H.M.s of periods T and 5T 2 . If they start from the mean position, then the phase difference between them when the particle A completes two oscilla 2026 Full Oscillations list All NEET PYQs