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Q.

A body, hung from a spring, executes vertical oscillations with period $T$ . The body is now immersed in a non-viscous liquid having density one-tenth of that of the body. When set into two vertical oscillations with the body remaining fully immersed in the liquid all the time, the period will be

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a

$\sqrt{\frac{10}{9}} T$

b

$T$

c

$\sqrt{\frac{9}{10}} T$

d

$\frac{1}{10} T$

answer is C.

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Detailed Solution

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For a spring $T = 2 π \sqrt{\frac{m}{k}}$ Since liquid is non-viscous, hence the time period remains unaltered

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A body, hung from a spring, executes vertical oscillations with period T . The body is now immersed in a non-viscous liquid having density one-tenth of that of the body. When set into two vertical oscillations with the body remaining fully immersed in the liquid all the time, the period will be