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A spherical ball of radius 3.0xx10^(-4) ...

A spherical ball of radius `3.0xx10^(-4) m` and density `10^(4) kg//m^(3)` falls freely under gravity through a distance h before entering a tank of water. If after entering the water the velocity of the ball does not change, find h. Viscosity of water is `9.8xx10^(6) N-s//m^(2)`.

Text Solution

Verified by Experts

The correct Answer is:
`(81)/(49) xx 10^(3) m`
`v = (2)/(9eta) r^(2).(r_(0) - r_(w))g = 180 m//sec`.
`h = (32400)/(2 xx 9.8) = (81)/(49) xx 10^(3)m`
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