If x, and a denote the displacement, the velocity and the acceler of a particle executing simple harmonic motion of time period T, then, which of the following does not change with time?A. (a) `aT//x`B. (b) `aT+2piv`C. (c ) `aT//v`D. (d) a^(2)T^(2)+4pi^(2)v^(2)`

If x, and a denote the displacement, the velocity and the acceler of a

1.	If x, and a denote the displacement, the velocity and the acceler of a particle executing simple harmonic motion of time period T, then, which of the following does not change with time?A. (a) `aT//x`B. (b) `aT+2piv`C. (c ) `aT//v`D. (d) a^(2)T^(2)+4pi^(2)v^(2)`
Answer» Correct Answer - A (a) For an SHM, the acceleration `a=-omega^(2)x` where `omega^(2)` is a constant. Therefore `a/x` is a constant. The time period (T) is also constant. Therfore `(aT)/x` is a constant.

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If x, and a denote the displacement, the velocity and the acceler of a particle executing simple harmonic motion of time period T, then, which of the following does not change with time?A. (a) `aT//x`B. (b) `aT+2piv`C. (c ) `aT//v`D. (d) a^(2)T^(2)+4pi^(2)v^(2)`

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