If the terminal speed of sphere A(density=19.5 kg/m3) is 0.2 m/s in a viscous liquid (density=1.5 kg/m3), find the terminal speed of a sphere Bdensity=10.5 kg/m−3) of the same size in the same liquid.
A
0.4 m/s
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B
0.133 m/s
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C
0.1 m/s
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D
0.2 m/s
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Solution
The correct option is C0.1 m/s Terminal speed of spherical body in a viscous liquid is given by VT=2r2(ρ−σ)g9μ
where ρ = density of substance of a body. σ = density of liquid. μ=viscosity of the liquid.
From given data, VT(B)VT(A)=ρB−σρA−σ VT(B)=10.5−1.519.5−1.5×0.2 =918×0.2=0.1 m/s