Q.

A solid sphere falls with a terminal velocity of 20m/s in air. When another sphere of same radius but made of different material is allowed to fall in air, Its terminal velocity is found to be 15m/s. If density of first sphere is 2gm/cm3 and density of air is 1.2 kg/m3, find the density of the other sphere.

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Detailed Solution

Terminal velocity v=2r29ρ-σηgWhere ρ = density of material of sphere σ = density of air, η = viscosity of air∴v2v1=ρ2-σρ1-σ⇒1520=ρ2-1.22000-1.2⇒ρ2=1500.3 kg/m3                                                         ⇒ρ2=1.5003 gm/cm3
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