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Q.

A lead sphere of mass m falls in a viscous liquid with a terminal velocity v0. Another lead sphere of mass 8 m will fall through the same liquid with a terminal velocity

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a

V0

b

4V0

c

8v0

d

64v0

answer is B.

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Detailed Solution

Terminal velocity vT∝r2 For second lead sphere mass becomes g times i.e., radius  becomes two times m=(4/3)πr3ρ ∴  Terminal velocity becomes (2)2v0=4v0.
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A lead sphere of mass m falls in a viscous liquid with a terminal velocity v0. Another lead sphere of mass 8 m will fall through the same liquid with a terminal velocity