A thin spherical metallic shell of radius R is falling in a viscous fluid. The terminal velocity attained by the falling object will be proportional to [Thickness of the shell remains constant]
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a
R
b
R2
c
1/R
d
R3
answer is A.
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Detailed Solution
Mg = Viscous drag (FD)If ‘σ’ be the surface density of mass of the shell, then M=4πR2σ∴ 4πR2σ.g=6πηR.VT⇒ VT=2σg3ηR ⇒ VT ∝ R