The value of acceleration due to gravity $'g'$, at earth's surface is $10\, m / s ^{2} .$ Its value at the centre of the earth which is assumed to be sphere of radius $' R'$ and uniform mass density, is
- $2.5\, R\, m / s ^{2}$
- $5\, R\, m / s ^{2}$
- $10\, R\, m / s ^{2}$
- 0
The Correct Option is D
Solution and Explanation
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- Which of the following salts is coloured salt before heating?
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- d -and f -Block Elements
Concepts Used:
Gravitation
In mechanics, the universal force of attraction acting between all matter is known as Gravity, also called gravitation, . It is the weakest known force in nature.
Newton’s Law of Gravitation
According to Newton’s law of gravitation, “Every particle in the universe attracts every other particle with a force whose magnitude is,
- F ∝ (M1M2) . . . . (1)
- (F ∝ 1/r2) . . . . (2)
On combining equations (1) and (2) we get,
F ∝ M1M2/r2
F = G × [M1M2]/r2 . . . . (7)
Or, f(r) = GM1M2/r2
The dimension formula of G is [M-1L3T-2].