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A solid sphere of mass m, suspended through a string in a liquid as shown. The string has some tension. Magnitudes of net force due to liquid on upper hemisphere and that on lower hemisphere are $F_{A}$ and $F_{B}$ respectively. Which of the following is are true?

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$F_{B} - F_{A} < m g$

$F_{B} - F_{A} = m g$

Density of material of the sphere is greater than density of liquid.

Difference of $F_{B}$ and $F_{A}$ is dependent of atmospheric pressure

answer is A, D.

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Detailed Solution

There is some tension (say $T$ ) . Hence option (1) is right .

$F_{A}$ (downward) & $F_{B}$ (upward)

$F_{B} + T = F_{A} ∴ F_{B} - F_{A} = m g - T F_{B} - F_{A} < m g . H e n c e o p t i o n (4) i s a l s o r i g h t .$

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