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प्रश्न
Choose the correct alternative:
Acceleration due to gravity increases/decreases with increasing altitude.
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उत्तर
Decreases
Acceleration due to gravity at depth h is given by the relation:
`g_h = (1-(2h)/Re)g`
Where,
`R_e` = Radius of the Earth
g = Acceleration due to gravity on the surface of the Earth
It is clear from the given relation that acceleration due to gravity decreases with an increase in height.
संबंधित प्रश्न
How does the force of gravitation between two objects change when the distance between them is reduced to half?
What happens to the force between two objects, if the masses of both objects are doubled?
Can we apply Newton’s third law to the gravitational force ? Explain your answer.
State and explain Kepler's laws of planetary motion. Draw diagrams to illustrate these laws.
Can two particles be in equilibrium under the action of their mutual gravitational force? Can three particles be? Can one of the three particles be?
Let V and E be the gravitational potential and gravitational field at a distance r from the centre of a uniform spherical shell. Consider the following two statements :
(A) The plot of V against r is discontinuous.
(B) The plot of E against r is discontinuous.
Four particles of equal masses M move along a circle of radius R under the action of their mutual gravitational attraction. Find the speed of each particle.
Two small bodies of masses 10 kg and 20 kg are kept a distance 1.0 m apart and released. Assuming that only mutual gravitational forces are acting, find the speeds of the particles when the separation decreases to 0.5 m.
A tunnel is dug along a chord of the earth at a perpendicular distance R/2 from the earth's centre. The wall of the tunnel may be assumed to be frictionless. Find the force exerted by the wall on a particle of mass m when it is at a distance x from the centre of the tunnel.
The gravitational field in a region is given by \[E = \left( 2 \overrightarrow{i} + 3 \overrightarrow{j} \right) N {kg}^{- 1}\] . Show that no work is done by the gravitational field when a particle is moved on the line 3y + 2x = 5.
[Hint : If a line y = mx + c makes angle θ with the X-axis, m = tan θ.]
Write an expression for the gravitational force of attraction between two bodies of masses m1 and m2 separated by a distance r.
A ball is thrown vertically upwards. It goes to a height 20 m and then returns to the ground. Taking acceleration due to gravity g to be 10 ms-2 , find :
the total time of journey of the ball .
Multiple Choice Question. Select the correct option.
The mass of earth is 6 × 1024 kg and radius of earth is 6.4 × 106 m. The magnitude of force between the mass of 1 kg and the earth is:
Name and state the action and reaction in the following case:
A book lying on a table.
State the law of gravitation. Why is it called universal?
Choose the wrong option.
If the law of gravitation, instead of being inverse-square law, becomes an inverse-cube law- ______.
- planets will not have elliptic orbits.
- circular orbits of planets is not possible.
- projectile motion of a stone thrown by hand on the surface of the earth will be approximately parabolic.
- there will be no gravitational force inside a spherical shell of uniform density.
Give scientific reasons for the following:
Newton's gravitational law is the universal law of gravitation.
Answer the following questions in reference to the figure below:

- Which relation is shown in the figure?
- What will happen if the mass of one of the objects is doubled?
Two particles of equal mass 'm' go around a circle of radius R under the action of their mutual gravitational attraction. The speed of each particle with respect to its centre of mass is ______.
