As shown in the figure, a block of weight 20 | vedclass

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(D) The weight of the block is $W = mg = 20 \,N$. Given $g = 10 \,ms^{-2}$, the mass of the block is $m = \frac{20}{10} = 2 \,kg$.For a block-spring s

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(D) The weight of the block is $W = mg = 20 \,N$. Given $g = 10 \,ms^{-2}$, the mass of the block is $m = \frac{20}{10} = 2 \,kg$.For a block-spring system on a smooth inclined plane, the component of gravity along the plane only shifts the equilibrium position and does not affect the frequency or period of oscillation.The angular frequency of the oscillation is given by $\omega = \sqrt{\frac{K}{m}}$, where $K = 8 \pi^2 \,Nm^{-1}$ is the spring constant.$\omega = \sqrt{\frac{8 \pi^2}{2}} = \sqrt{4 \pi^2} = 2 \pi \,rad/s$.The period of oscillation $T$ is given by $T = \frac{2 \pi}{\omega}$.Substituting the value of $\omega$, we get $T = \frac{2 \pi}{2 \pi} = 1 \,s$.Therefore, the period of oscillations is $1 \,s$.

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