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Density of a liquid varies with depth as...

Density of a liquid varies with depth as `rho=alpha`h. A small ball of density `rho_(0)` is released from the free surface of the liquid. Then

A

the ball will execute SHM of amplitude `rho_(0)//alpha`

B

the mean position of the ball will be at a depth `rho_(0)//2alpha` from the free surface

C

the ball will sink to a maximum depth of `2rho_(0)//alpha`

D

all of the above

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The correct Answer is:
A, C
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