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(D) The time period of a spring-mass system is given by $T = 2\pi \sqrt{\frac{m}{k}}$,where $m$ is the mass of the object and $k$ is the spring consta

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(D) The time period of a spring-mass system is given by $T = 2\pi \sqrt{\frac{m}{k}}$,where $m$ is the mass of the object and $k$ is the spring constant.When the sphere is immersed in a non-viscous liquid,it experiences a buoyant force. However,the buoyant force is a constant force (like gravity) and does not change the effective spring constant $k$ or the inertial mass $m$ of the system.Since the liquid is non-viscous,there is no damping force (drag) acting on the sphere.Therefore,the effective mass and the spring constant remain unchanged,and the time period of oscillation remains $T = 2\pi \sqrt{\frac{m}{k}}$.Thus,the time period remains unchanged.

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