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 0 to 0 . 63 times the terminal velocity ( v ) is called time constant τ . Dimensionally τ c

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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 0 to 0 . 63 times the terminal velocity ( v ) is called time constant τ . Dimensionally τ can be represented as

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Correct answer: D. None of these

Time constant is the time of free fall of a body under gravity in the viscous medium, during which the velocity of the body increases to 63 % of the terminal velocity. Dimensionally, none of the alternatives have dimensions of time.

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 0 to 0 . 63 times the terminal velocity ( v ) is called time constant τ . Dimensionally τ can be represented as

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