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In a simple harmonic motion (a) the potential energy is always equal to the kinetic energy (b) the potential energy is never equal to the kinetic energy (c) the average potential energy in any time interval jt equal to the average kinetic energy in that time interval (d) the average potential energy in one time period equal to the average kinetic energy in this period. |
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Answer» (d) the average potential energy in one time period equal to the average kinetic energy in this period. EXPLANATION: The sum of K.E. and P.E. is constant, they are not equal. (a) is not true. Since their sum is constant at any instant, at some instant they may be equal. (b) is not true. Near the mean position, K.E. is maximum while P.E. is minimum. Near the extremes, it is just the opposite. So if the time interval is chosen near the mean position or near the extremes, the average K.E. and P.E. will not be equal. (c) is not true. The variations of the K.E. and P.E. are exactly similar in one time period except that K.E. is maximum at the mean position while P.E. is maximum at the extremes. So the average P.E. and K.E. are equal in one time period. (d) is true. |
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