Question

Acceleration-time graph of a particle executing SHM is as shown in figure. Select the correct alternative(s)

• A. Displacement of particle at 1 from mean position is negative
• B. Velocity of particle at 2 is positive
• C. Potential energy of particle at 3 is maximum
• D. Speed of particle at 4 is decreasing

Answer 1

Answer: (A), (B), (C), (D)

As at position $1$ acceeleration is positive and displacement from mean position is opposite to direction of acceleration in SHM hence option $(A)$ is correct. At position $2$ acceleration is changing from positive to negative, particle is at mean position and moving in positive direction hence option $(B)$ is correct. At position $3$ acceleration magnitude is maximum so this is the extreem position of SHM so potential energy of particle is maximum here hence option $(C)$ is correct. At position $4$ acceleration is increasing that means particle is moving toward extreme position so its speed will be decreasing hence option (D) is correct