Question:
At sea level, the value of $g$ is minimum at
At sea level, the value of $g$ is minimum at
Updated On: Jul 28, 2022
- the poles
- the equator
- $45^{\circ}$ south latitude
- $45^{\circ}$ north longitude
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The Correct Option is B
Solution and Explanation
Due to the rotation of the earth, the acceleration due to gravity for earth changes and at the equator, its value is given by $ g' = g - w^2 R $
And at poles $g'=g$
$\therefore$ The value of acceleration due to gravity is minimum at the equator.
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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].