Problem 5. A small steel ball of radius r is allowed to fall under gravity through a column of a viscous liquid ofcoefficient of viscosity n. After some time the velocity of thebody attains a constant value vp. The terminal velocitydepends upon (i) the weight of the ball mg (ii) the coefficientof viscosity n and (iii) the radius of the ball r. By the methodof dimensions, determine the relation expressing terminalvelocity[Chandigarh 07]

Problem 5. A small steel ball of radius r is allowed to fall under g

1.	Problem 5. A small steel ball of radius r is allowed to fall under gravity through a column of a viscous liquid ofcoefficient of viscosity n. After some time the velocity of thebody attains a constant value vp. The terminal velocitydepends upon (i) the weight of the ball mg (ii) the coefficientof viscosity n and (iii) the radius of the ball r. By the methodof dimensions, determine the relation expressing terminalvelocity[Chandigarh 07]
Answer» Vt does not depend on WEIGHT of object It is PROPORTIONAL to SQUARE of RADIUS of ballAnd INVERSE proportional to co efficient ofviscosityExplanation:

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