If the radius of a planet is four times ...

If the radius of a planet is four times that of earth and the value of g is same for both, the escape velocity on the planet will be

11.2 km/s

5.6 km/s

22.4 km/s

None of these

Text Solution

Verified by Experts

The correct Answer is:

`v=sqrt(2gR)impliesv_p/v_e=sqrt(g_p/(g_e)xxR_p/R_e)`
`= sqrt(1xx4) = 2`

Topper's Solved these Questions

NTA TPC JEE MAIN TEST 71
NTA MOCK TESTS|Exercise PHYSICS|30 Videos
NTA TPC JEE MAIN TEST 79
NTA MOCK TESTS|Exercise PHYSICS |30 Videos

Similar Questions

Explore conceptually related problems

The escape velocity for the earth is 11.2 km / sec . The mass of another planet is 100 times that of the earth and its radius is 4 times that of the earth. The escape velocity for this planet will be

The radius of a planet is double that of the earth but then average densities are the same. If the escape velocities at the planet and at the earth are v_(P) and v_(E) respectively, then prove that v_(P)=2 v_(E).

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 .

The radius of a planet is 1/4th of Re and its acc. due to gravity is 2g. What would be the value of escape velocity on the planet, if escape velocity on earth i v_(e)

The acceleration due to gravity on a planet is same as that on earth and its radius is four times that of earth. What will be the value of escape velocity on that planet if it is v_(e) on earth

The mass of a planet is six times that of the earth. The radius of the planet is twice that of the earth. It's the escape velocity from the earth is v , then the escape velocity from the planet is:

Mass and radius of a planet are two times the value of earth. What is the value of escape velocity from the surface of this planet?

If acceleration due to gravity on the surface of a planet is two times that on surface of earth and its radius is double that of earth. Then escape velocity from the surface of that planet in comparison to earth will be

A planet has a mass 120 times that of earth and radius is 5 times the radius of earth. What is the escape velocity at this planet if the escape velocity at earth's surface is 11.2 km s^(-1) .

The mass of (an imaginary) planet is four times that of the earth and its radius is double the radius of the earth. The escape velocity of a body from the earth is 11.2xx10^(3)m//s . Find the escape velocity of a body from the planet.

NTA MOCK TESTS-NTA TPC JEE MAIN TEST 72-PHYSICS

For p - type semiconductor, choose the correct energy level diagram ?
Text Solution
|
The surface charge densities on two square plates of a parallel plate ...
Text Solution
|
If the radius of a planet is four times that of earth and the value of...
Text Solution
|
In a mixture of oxygen and hydrogen at room temperature find out compa...
Text Solution
|
A current 1 flows along a triangle loop having sides of equal length a...
Text Solution
|
B is a source of sound of frequency 650 Hz. Coefficient of restitution...
Text Solution
|
The period of oscillation of spring pendulum is given by T = 2pi sqrt(...
Text Solution
|
A liquid is kept in a cylindrical vessel which is being rotated about ...
Text Solution
|
The plane face of a planoconvex lens is silvered. If mu be the refract...
Text Solution
|
Moment of inertia depends on:
Text Solution
|
An iron tyre is to be fitted onto a wooden wheel 1.0 m in diameter. Th...
Text Solution
|
A monoatomic gas of molar mass m is filled into an insulated container...
Text Solution
|
Fraunhoffer diffraction from a single slit is observed in the focal pl...
Text Solution
|
Block A is hanging from a vertical spring and is at rest. Block B stri...
Text Solution
|
The total momentum delivered (for complete absorption) of energy flux ...
Text Solution
|
A coil of self inductance 12 mH and resistance 0.8Omega , a switch and...
Text Solution
|
A thin wire carries a uniformly distributed charge Q = 3. 14nC along i...
Text Solution
|
An aeroplane takes off at an angle of 30^@ to the horizontal. If the ...
Text Solution
|
In the situation shown in the figure, the system is in equilibrium. Al...
Text Solution
|
The space within a current carrying toroid is filled with magnesium (X...
Text Solution
|