Question:
Which of the following statements is/are true?
Which of the following statements is/are true?
Updated On: Jun 20, 2022
- A clock when taken on a mountain can be made to give correct time if we change the length of pendulum suitably
- An increase in value of g makes a clock go slow
- If the length of a pendulum is increased, the clock becomes fast
- A clock when taken to a deep mine or carried to the top of a mountain becomes slow
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The Correct Option is D
Solution and Explanation
Above or below the earth's surface, value of acceleration due to gravity decreases, so time period $\left(T=2 \pi \sqrt{\frac{l}{g}}\right)$ increases ie, clock will become slow.
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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].