A sphere of brass released in a long liquid column attains a terminal speed v0. If the terminal speed is attained by a sphere of marble of the same radius and released in the same liquid is nv0 then the value of n will be (Given: The specific gravities of brass, marble and liquid are 8.5, 2.5 and 0.8 respectively)
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a
517
b
2777
c
1131
d
1777
answer is D.
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Detailed Solution
Terminal velocity is given by vT=2r2gρs-ρl9η v1v2=ρb-ρlρm-ρl vnv=8.5-0.82.5-0.8 n=1777