Gravitational potential of the body of mass m at a height h from surface of earth of radius R is (Take g = acceleration due to gravity at earth's surface)
- g(R + h )
- g ( R + h )
g ( R + H )
g ( R - h )
A body of mass 'm' is taken from the earth's surface to the height equal to twice the radius (R) of the earth. The change in potential energy of body will be
3mgR
2 mgR
Find out the correct relation for the dependance of change in acceleration due to gravity on the angle at the latitude, due to rotation of earth
dg ∝ cos
dg ∝ cos2
dg ∝ cos3/2
dg ∝
Assertion: Total energy is conserved in moving a satellite to higher orbit.
Reason: Sum of change in PE and KE is same in magnitude and opposite in nature.
If both assertion and reason are true and reason is correct explanation of assertion.
If both assertion and reason are true but reason is not the correct explanation of assertion
If assertion is true but reason is false.
If both assertion and reason are false.
Assertion: The difference in the value of acceleration due to gravity at pole and equator is proportional to square of angular velocity of earth.
Reason: The value of acceleration due to gravity is minimum at the equator and maximum at the pole.
If both assertion and reason are true and reason is the correct explanation of assertion
If both assertion and reason are true but reason is not the correct explanation of assertion
If assertion is true but reason is false
If both assertion and reason are false.
A wire of length l and mass m is bent in the form of a semicircle. The gravitational field intensity at the centre of semicircle is
along x - axis
along y-axis
along y-axis
along x-axis
Suppose the gravitational force varies inversely as the nth power of distance. Then the time period of a planet in circular orbit of radius R around the sun will be proportional to
Rn
Assertion: An astronaut experience weightlessness in a space satellite.
Reason: When a body falls freely it does not experience gravity.
If both assertion and reason are true and reason s the correct explanation of assertion
If both assertion and reason are true but reason is not the correct explanation of assertion
If assertion is true but reason is false
If both assertion and reason are false
Assertion: A man in a closed cabin which is falling freely does not experience gravity.
Reason: Inertial and gravitational mass have equivalence.
If both assertion and reason are true and reason is the correct explanation of the assertion
If both assertion and reason are true but reason is not the correct explanation of the assertion
If assertion is true, but reason is false
Both assertion and reason are false statements.
B.
If both assertion and reason are true but reason is not the correct explanation of the assertion
If a man inside a lift which is falling freely i.e. with acceleration g, the relative acceleration of the man with respect to the lift
= acceleration of man with respect to earth (g) acceleration of lift with respect to earth,
g = g - g = 0.
Assertion is correct.
The statement given by the reason is correct but not what is given is the reason for the assertion.