Home
Class 11
PHYSICS
A spherical ball is moving with terminal...

A spherical ball is moving with terminal velocity inside a liquid. Determine the relationship of rate of heat loss with the radius of ball.

Text Solution

Verified by Experts

Rate of heat loss =power `=Fxxv=6pietarvxxv=6pietarv^(2)=6rhoetar[(2)/(9)(gr^(2)(rho_(0)-rho_(l)))/(eta)]^(2)`
Therefore rate of heat loss `propr^(5)`
Promotional Banner

Topper's Solved these Questions

  • ELASTICITY, SURFACE TENSION AND FLUID MECHANICS

    ALLEN|Exercise Exercise 1 (Elasticity)|16 Videos
  • ELASTICITY, SURFACE TENSION AND FLUID MECHANICS

    ALLEN|Exercise Exercise 1 (Surface Tension)|21 Videos
  • CENTRE OF MASS

    ALLEN|Exercise EXERCISE-V B|19 Videos
  • ERROR AND MEASUREMENT

    ALLEN|Exercise Part-2(Exercise-2)(B)|22 Videos

Similar Questions

Explore conceptually related problems

A spherical ball falls through viscous medium with terminal velocity v . If this ball is replaced by another ball of the same mass but half the radius, then the terminal velocity will be (neglect the effect of buoyancy.)

A solid spherical ball of iron with radius 6 cm is melted and recase tin to three solid spherical balls . The radii of the two of the balls are 3 cm and 4 cm respectively determine the diameter of the third ball.

A ball of mass m inside a smooth spherical shell of radius R with velocity sqrt(2qR) at A What is the direction of force acting on the ball, when it reaches B ?

Three metallic spherical balls of radii 3 cm, 4 cm and 5 cm are melted and recast into a big spherical ball. Find the radius of this big ball.

A metal ball falls through water with terminal velocity 20 ms^(-1) . When the ball is allowed to fall through vacuum, then

A spherical ball of iron has been melted and made into smaller balls. If the radius of each smaller ball is one-fourth of the radius of the original one, how many such balls can be made?

A small spherical ball falling through a viscous medium of negligible density has terminal velocity v. Another ball of the same mass but of radius twice that of the earlier falling through the same viscous medium will have terminal velocity

A solid spherical ball of iron with radius 6 cm is melted and recast into three solid spherical balls. The radii of the two balls are 3 cm and 4 cm respectively, determine the diameter of the third ball.

What is Stoke.s law ? Define terminal velocity and calculate it for a spherical body moving vertically in a liquid and show that it is proportional to square of the radius of the spherical body.

A ball rises to the surface of a liquid with constant velocity. The density of the liquid is four lime the density of the material of the ball. The frictional force of the liquid on the rising ball is greater than the weight of the ball by a factor of