A small steel ball of mass `m` and radius `r` is falling under gravity through a viscous liquid of coefficient of viscosity `eta`. If `g` is the value of acceleration due to gravity. Then the terminal velocity of the ball is proportional to (ignore buoyancy)

The terminal velocity v of a small steel ball ofradius r fal ling under gravity through a column ofa viscous liquid of coefficient of viscosity eta depends on mass of the ball m, acceleration due to gravity g, coefficient of viscosity eta and radius r. Which of the following relations is dimensionally correct?

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

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

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

A small spherical body of radius r is falling under gravity in a viscous medium. Due to friction the meduim gets heated. How does the rate of heating depends on radius of body when it attains terminal velocity?

A spherical metal ball of mass m and radius (r ) is falling through a viscous medium. The value of its terminal velocity is proportional to