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A spherical ballof radius 3.0×104m and density 104 kg/m3  falls freely under gravity through a distance h it before entering a tank of water (coefficient of viscosity = η = 9.8×106Nsm2 and density = 103kg/m3. If after entering the water, the velocity of the ball does not change, find~h.(Take g =9.8 ms2)
 
Options:
A .  10.24 m
B .  1.65 km
C .  32.36 m
D .  50.12 m
Answer: Option B
:
B
Terminal velocity,
u=2gh=2r2(ρσ)g9ηh=2gr4(ρr)281η2=1.65km

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