Questions
A small sphere of radius r is falling through a viscous liquid when the sphere has attained terminal velocity, its kinetic energy is 15 . If radius of the sphere is doubled, then its kinetic energy at terminal velocity will be
detailed solution
Correct option is B
At terminal velocity, V ∞ r2Also, mass of sphere m ∞ r3Since kinetic energy K=12mV2we can write, K ∞ (r)7∴ K1K=(2rr)7⇒K1=15×27μJ=1920 μJTalk to our academic expert!
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The terminal velocity of a small sized spherical body of radius r falling vertically in a viscous liquid is given by the following proportionality :
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