A heavy brass sphere is hung from a spring and it executes vertical vibrations with period \( \m...

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A heavy brass sphere is hung from a spring and it executes vertical vibrations with period \( \mathrm{T} \). The
\( \mathrm{P} \) sphere is now immersed in a non-viscous liquid

W with a density \( (1 / 10)^{\text {th }} \) that of brass. When set into vertical vibrations with the sphere remaining inside liquid all the time, the time period will be:-
(1) \( \sqrt{9 / 10} \mathrm{~T} \)
(2) \( \sqrt{10 / 9} \mathrm{~T} \)
(3) \( (9 / 10) \mathrm{T} \)
(4) \( \mathrm{T} \)
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