Basic Maths and Units and DimensionsHard
Question
Two solid spheres of same material but of mass m and 8m fall simultaneously in a viscous liquid and their terminal velocities are v and nv then value of n is : -
Options
A.16
B.8
C.4
D.2
Solution
Mass = Volume × density
M =
πr3 × ρ ⇒ m ∝ r3
VT ∝ r2 ⇒
⇒ (VT)2 = 4(VT)1 ⇒ n = 4.
M =
πr3 × ρ ⇒ m ∝ r3VT ∝ r2 ⇒
⇒ (VT)2 = 4(VT)1 ⇒ n = 4.
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