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As shown in the figure, a block of weight 20 N is connected to the top of a smooth inclined plane by a massless spring of constant $8 π^{2} {Nm}^{- 1}$ . If the block is pulled slightly from its mean position and released, the period of oscillations is
(Acceleration due to gravity =10 ms^-2)

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4 s

3 s

2 s

answer is D.

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Detailed Solution

The time period of oscillations is given by $T = 2 π \sqrt{\frac{m}{K}} = 2 π \sqrt{\frac{2}{8 π^{2}}} = 1 s$

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