Question:
When you move from equator to pole, the value of acceleration due to gravity (g):
When you move from equator to pole, the value of acceleration due to gravity (g):
Updated On: Jul 7, 2022
- increases
- decreases
- remains the same
- increases then decreases
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The Correct Option is A
Solution and Explanation
Key Idea: Equatorial radius is about 21 km larger than polar radius. Earth is not a perfect sphere but some what flat at the two poles. Its equatorial radius is nearly 21 km larger than polar radius. Also the value of g depends upon $ {{R}_{e}} $ (radius of earth) as $ g=\frac{G{{M}_{e}}}{R_{e}^{2}} $ Hence, as we go from equator towards the poles the radius $ {{R}_{e}} $ goes on decreasing and hence the value of g goes on increasing.
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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].