A heavy brass sphere is hung from a spring and it executes vertical vibrations with period T. The sphere is now immersed in a non-viscous liquid with a density (1 10 )^th that of brass. When set into vertical vibrations with the sphere remaining inside liquid all the time, the time period will be:

A heavy brass sphere is hung from a spring and it executes vertic…

MCQ

A heavy brass sphere is hung from a spring and it executes vertical vibrations with period $T.$ The sphere is now immersed in a non$-$viscous liquid with a density $(\frac{1}{10})^\text{th}$ that of brass. When set into vertical vibrations with the sphere remaining inside liquid all the time, the time period will be:

A
$\sqrt{\frac{9}{10\text{T}}}$
✓
$\sqrt{\frac{10}{9\text{T}}}$
C
$\sqrt{\Big(\frac{9}{10}}\Big)\text{T}$
D
Unchanged

✓

Answer

Correct option: B.

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

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(IMAGE)

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Givin the answer quetion ($1$) and ($2$)