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A block performs damped harmonic oscillation with (period) T. Which statements are correct? (1) Time taken to go from an extreme to the mean position is T/4. (2) Time taken to go from one extreme to the other is T/2. (3) Time taken to go from one extreme to the other is less than T/2. (4) Time taken to go from one extreme to the other is more than T/2.

1. 1,2 only
2. 1,2,3 only
3. 2 only
4. 1,2,4 only

Correct answer: 1,2 only

Solution

Although amplitude decays in damped SHM, the (damped) period T is constant. The block reaches the mean position a quarter period after an extreme, and consecutive extremes are separated by half a period. So statements (1) and (2) are correct.

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