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

Oscillations

Solution:

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