Consider a spherical planet which is rot...

Consider a spherical planet which is rotating about its axis such that the speed of a point on its equator is 'v' and the effective acceleration due to gravity on the equator is `1/3`of its value at the poles. What is the escape velocity for the particle at the pole of this planet?

`sqrt3 v`

`sqrt2 v`

Text Solution

Verified by Experts

Topper's Solved these Questions

FRICTION IS SOLIDS AND LIQUIDS
TARGET PUBLICATION|Exercise MCQ (EVALUATION TEST)|21 Videos
LAWS OF MOTION
TARGET PUBLICATION|Exercise EXERCISE|281 Videos

Similar Questions

Explore conceptually related problems

The mass of a planet is (1//10)^("th") that of earth and its diameter is half that of earth the acceleration due to gravity is

The value of acceleration due to gravity will be 1% of its value at the surface of earth at a height of (R_(e )=6400 km)

At what distance above the surface of Earth the acceleration due to gravity decreases by 10% of its value at the surface? (Radius of Earth = 6400 km)

The value of acceleration due to gravity is 980 cm s^(-2) . What will be its value if the unit of length is kilometer and that of time is minute?

The sun is rotating about its own axis. The spectral lines imitted from the two ends of its equator, for an observer on the earth will show

The radius of a planet is 1/4 of earth’s radius and its acceleration due to gravity is double that of earth’s acceleration due to gravity. How many times will the escape velocity at the planet’s surface be as compared to its value on earth’s surface

The mass of a planet is 6 times the mass of earth and its radius is 3 times that of the earth . Considering acceleration due to gravity on earth to be 9.8m//s^2 , calculate the value of g on the other planet.

If mass of planet is eight times the mass of the earth and its radius is twice the radius of the earth, what will be the escape velocity for that planet?

Solve the following examples/numerical problems : If the mass of a planet is eight times the mass of the earth and its radius is twice the radius of the earth, what will be the ratio of the escape velocity on the earth to the escape velocity on the planet?

TARGET PUBLICATION-Gravitation-Exercise

A body mass 'm' is dropped from height R/2, from earth's surface, wher...
Text Solution
|
The mass density of a spherical galaxy varies as K/r over a large dist...
Text Solution
|
Consider a spherical planet which is rotating about its axis such that...
Text Solution
|
Kepler's third law states that square of period of revolution (T) of a...
Text Solution
|
A planet of mass 'm' moves in an elliptical orbit around an unknown st...
Text Solution
|
The ratio of accelerations due to gravity g1 : g2 on the surfaces of t...
Text Solution
|
A body is thrown from the surface of the earth with velocity 'u' mis. ...
Text Solution
|
A particle of mass M is situated at the centre of a spherical shell of...
Text Solution
|
A light planet is revolving round a massive star with a period of revo...
Text Solution
|
At what height from the surface of earth the gravitation potential and...
Text Solution
|
A satellite of mass 'm' is revolving in circular orbit of radius 'r' r...
Text Solution
|
The radii of a planet and its satellite are 2r and r and their densiti...
Text Solution
|
The radius of the Earth is about 6400 km and that of Mars is about 320...
Text Solution
|
Given radius of Earth 'R' and length of a day 'T' the height of a geos...
Text Solution
|
The mass of planet Jupiter is 1.9xx10^(27)kg and that of the Sun is 1....
Text Solution
|
A mass M is broken into two parts of masses m1 and m2. How are m1 and ...
Text Solution
|
Suppose the gravitational force varies inversely as the n^(th) power o...
Text Solution
|
A body is projected vertically upwards from the surface of a planet of...
Text Solution
|
What should be the velocity of earth due to rotation about its own axi...
Text Solution
|
For a satellite that orbits as close to the earth's surface as possibl...
Text Solution
|