Question

A small steel ball of radius r is allowed to fall under gravity through a column of a viscous liquid of coefficient of viscosity. After some time the velocity of the ball attains a constant value known as terminal velocity vₜ. The terminal velocity depends on (i) the mass of the ball. (ii) η (iii) r and (iv) acceleration due to gravity g. which of the following relations is dimensionally correct

Options :

  1. vₜ ∝ mg/ηr

  2. vₜ ∝ ηr/mg

  3. vₜ ∝ ηrmg

  4. vₜ ∝ mgr/η

Show Answer

Answer :

vₜ ∝ mg/ηr

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