Home
Class 12
PHYSICS
A sperical body of mass m and radius r i...

A sperical body of mass `m` and radius `r` is allowed to fall in a medium of viscosity `eta`. The time in which the velocity of the body increases from zero to `0.63 ` times the terminal velocity `(v)` is called constant `(tau)`. Dimensionally , `tau` can be represented by

A

`mr^(2)//6pih`

B

`sqrt(6pietamr//g)`

C

`m//6pihrv`

D

none of the above

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

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

A drop of water of radius r is falling rhough the air of coefficient of viscosity eta with a constant velocity of v the resultant force on the drop is

Two bodies of masses M and 27 M are allowed to fall on a viscous liquid simultaneously. The respective terminal velocities of bodies are V and kV. The value of k is

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)

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 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 sphere of mass m and radius r is projected in a gravity free space with speed v. If coefficient of viscosity of the medium in which it moves is 1/(6pi) , the distance travelled by the body before it stops is

A body of mass m is lifted up from the surface of earth to a height three times the radius of the earth R . The change in potential energy of the body is

The mass of a planet is four times that of the earth and its radius is double the radius of earth . The escape velocity of a body from the earth is 11.2xx 10^(3) m/s. Find the escape velocity of a body from the plant .