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प्रश्न
Write scientific reason.
The value of g at the centre of the earth is zero.
उत्तर
- The acceleration due to gravity (g) on earth’s surface is given as, g = `"GM"/"R"^2`. The value of g depends on the mass M of the earth and the radius R of the earth.
- As we go inside the earth, our distance from the centre of the earth decreases and no longer remains equal to the radius of the earth (R).
- Along-with the distance, the part of the earth which contributes towards the gravitational force felt also decreases, decreasing the value of (M).
- Due to combined result of change in R and M, value of g becomes zero at the centre of the earth.
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संबंधित प्रश्न
Fill in the following blank with suitable word :
The value of g on the earth is about………………. of that on the moon.
The radius of planet A is half the radius of planet B. If the mass of A is MA, what must be the mass of B so that the value of g on B is half that of its value on A?
The CGS unit of G is dyne.cm2/g2.
The value of g is highest at the equator.
The value of G varies from place to place.
The depth 'd' below the surface of the earth at which acceleration due to gravity becomes `(g/n)` is ______.
R = radius of the earth, 'g' = acceleration due to gravity, n = integer
The acceleration due to gravity on moon is `(1/6)^"th"` times the acceleration due to gravity on earth. If the ratio of the density of earth 'ρe' to the density of moon 'ρm' is `5/3`, then the radius of moon 'Rm' in terms of the radius of earth 'Re' is ______.
At a height R above the earth's surface, the gravitational acceleration is ______.
(R = radius of earth, g = acceleration due to gravity on earth's surface.)
The radius of the orbit of a geostationary satellite is (mean radius of the earth R, angular velocity about an axis in ω and acceleration due to gravity on earth's surface is (g) ______.
A central particle M is surrounded by a square array of other particles, separated by either distanced or distance d/2 along the perimeter o the square. The magnitude of the gravitational force on the central particle due to the other particles is ______.
The moon has a mass of 1/81 that of the earth and a radius of 1/4 that of the earth. The escape speed from the surface of the earth is 11.2 km/s. The escape speed from the surface of the moon is ______.
A mass attached to one end of a string crosses top-most point on a vertical circle with critical speed. Its centripetal acceleration when string becomes horizontal will be ______. (g = gravitational acceleration)
A lift of mass 'm' is connected to a rope which is moving upward with maximum acceleration 'a'. For maximum safe stress, the elastic limit of the rope is 'T'. The minimum diameter of the rope is ______.
(g = gravitational acceleration)
The value of gravitational acceleration g at a height h above the earth's surface is `"g"/4`, then ______. (R = radius of earth)
The difference in the acceleration due to gravity at the pole and equator is ______.
(g = acceleration due to gravity, R = radius of the earth; θ = latitude, ω = angular velocity, cos0° = 1, cos90° = 0)
The acceleration due to gravity on the earth of radius Re is ge, and that on moon of radius Rm, is gm. The ratio of the masses of the earth and moon is given by ______.
If the surface is smooth, the acceleration of the block m2 will be ______.
If the change in the value of g at the height h above the surface of the earth is the same as at a depth x below it, then ______.
(both x and h being much smaller than the radius of the earth)
The mass of a spaceship is 1000 kg. It is to be launched from the earth's surface out into free space. The value of g and R are 10 m/s2 and 6400 km, respectively. The required energy for this work will be ______.
