A particle is executing simple harmonic motion with an amplitude A and time period T. The displacement of the particle after period 2 T from its initial position is

Question

A particle is executing simple harmonic motion with an amplitude A and time period T. The displacement of the particle after period 2 T from its initial position is (A) A (B) 4 A (C) 8 A (D) zero

Tardigrade Admin · Accepted Answer

The particle completes one oscillation in time T. Therefore, in time 2 T, it will complete two oscillations and will reach to its starting point, i.e., initial position. Therefore, the displacement is zero.

Q. A particle is executing simple harmonic motion with an amplitude $A$ and time period $T$ . The displacement of the particle after period $2 T$ from its initial position is

A

4 A

8 A

zero

The particle completes one oscillation in time $T$ . Therefore, in time $2 T$ , it will complete two oscillations and will reach to its starting point, i.e., initial position. Therefore, the displacement is zero.

Q. A particle is executing simple harmonic motion with an amplitude A and time period T. The displacement of the particle after period 2T from its initial position is

A

4 A

8 A

zero

The particle completes one oscillation in time T. Therefore, in time 2T, it will complete two oscillations and will reach to its starting point, i.e., initial position. Therefore, the displacement is zero.

Q. A particle is executing simple harmonic motion with an amplitude $A$ and time period $T$ . The displacement of the particle after period $2 T$ from its initial position is

The particle completes one oscillation in time $T$ . Therefore, in time $2 T$ , it will complete two oscillations and will reach to its starting point, i.e., initial position. Therefore, the displacement is zero.