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JEE Main Physics question

PhysicsUnits and MeasurementJEE Main

A small steel ball of radius 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 . The terminal velocity depends on (i) the mass of the ball , (ii) , (iii) and (iv) acceleration due to gravity . Which of the following relations is dimensionally correct? **[NCERT 1983, CPMT 1992, CBSE PMT 1992, MP PET 2001]**

Answer: (A)

Solution

By Stokes' law, . Since , this is proportional to $Missing argument for \dfrac\dfrac{mg}{η

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Question ID VK-157314