Define critical velocity.

Define orbital velocity. Obtain the relation between orbital velocity and acceleration due to gravity g, for a satellite orbiting very close to the surface of the earth.

The critical velocity v for a liquid depends upon (a) coefficient of viscosity eta (b) density of the liquid rho and © radius of the pipe r. Using dimensions derive an expression for the critical velocity.

(a) Explain Stokes Law (b) Define terminal velocity (c) Describe an experiment to determine the terminal velocity

A ball of mass 100 g is made to loop-the-loop in a vertical circle as shown in Fig. 7.1.29. The radius of the circle is 0.5 m (i)-What is the critical velocity at the highest point of the track ? (ii) If the velocity of the ball at the highest point of the track is twice the critical velocity what is the force exerted by the ball against track?

Check the correctness of the equation v=(K eta)/(r rho) using dimensional analysis, where v is the critical velocity eta is the coefficient of viscosity, r is the radius and rho is the density?

Two copper balls of radius r and 2r are released at rest in a long tube filled with liquid of uniform viscosity. After some time when both the spheres acquire critical velocity (terminal velocity) then ratio of viscous force on the balls is :

Define drift velocity and relaxation time, with reference to the free electron theory of conductors.

The critical velocity v of a body depends on the coefficient of viscosity eta the density d and radius of the drop r. If K is a dimensionless constant then v is equal to

Define drift velocity of free electron . If relaxation time is r then write a vector relation b etween drift velocity and electric field.

A particle of mass m attached to an inextensible light string is moving in a vertical circle of radius r. The critical velocity at the highest point is v_( 0) to complete the vertical circle. The tension in the string when it becomes horizontal is