A spherical body of mass m and radius r is allowed to fall in a medium of viscosity $η$ . The time in which the velocity of the body increases from zero to $0.63$ times the terminal velocity(v) is called time constant( $τ$ ). Dimensionally, $τ$ can be represented by

\frac{m r ^{2}}{6 π η}

\frac{6 πm rη}{g ^{2}}

\frac{m}{6 π ηr v}

None of these

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A spherical body of mass m and radius r is allowed to fall in a medium of viscosity

η

. The time in which the velocity of the body increases from zero to

0.63

times the terminal velocity(v) is called time constant(

τ

). Dimensionally,

τ

can be represented by

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