1.

A wooden ball of density p is dropped from rest from a height 'h' into the lake of water density sigma (sigma > p). Neglecting viscosity, the maximum depth to which the body sinks before returning to float is :

Answer»

<P>`(hp)/(p-SIGMA)`
`(H(p-sigma))/p`
`(h(sigma-p))/(sigma)`
`(hp)/(sigma-p)`

SOLUTION :Here P.E. of the ball
mgh`=[m/pxxsigmaxxg-mg]`H, where His the depth to which it sinks. Then
`h=[(sigma)/p-1]`H or H`=(PH)/(sigma-p)`
Correct choice is (d).


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