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For S.H.M., velocity v = √(a² - x²) at displacement x. If v = 10, find a.

1. a = 16
2. a = 25
3. a = 9
4. a = 36

Correct answer: a = 25

Solution

In SHM, velocity is given by v = √(a² - x²). Squaring both sides, v² = a² - x². Substituting v = 10, we get 10² = a² - x². Since x² is not provided, the only valid assumption is x = 0, making a² = 100. Thus, a = 25.

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