Question:
A spring balance $A$ and a beam balance $B$ are used to weigh the same object at a place on the equator and a place on the pole of the earth. Then
A spring balance $A$ and a beam balance $B$ are used to weigh the same object at a place on the equator and a place on the pole of the earth. Then
Updated On: Jul 14, 2022
- Readings of A and B will be different at both the places
- Readings of A will be different but those of B will be same at both the places
- Readings of A will be same but those of B will be different at both the places
- Readings of both A and B are same at both the places
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The Correct Option is B
Solution and Explanation
Spring balance measures spring force hence readings of A will be different as g at equator is smaller than g at pole.
Beam balance measures torque hence B will be affected equally due to variation of g at two places.
So readings of B will be same.
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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].