A mass of 2kg attached to a spring of force constant 800N/m makes 100 oscillation. The time taken is (in seconds)

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62.8

16.0

31.4

125.6

answer is A.

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Detailed Solution

$\begin{array}{l} T = 2 π \sqrt{\frac{m}{k}} = 2 π \sqrt{\frac{2}{800}} \\ = \frac{2 π}{20} = \frac{π}{10} = \frac{3 .14}{10} \to one oscillation \end{array}$
For 100 oscillations $\frac{3.14}{10} \times 100 = 31.4 \sec$

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