Question:
A simple second pendulum is mounted in a rocket. Its time period will decrease when the rocket is:
A simple second pendulum is mounted in a rocket. Its time period will decrease when the rocket is:
Updated On: Jul 12, 2022
- moving up with uniform velocity
- moving up with uniform acceleration
- moving down with uniform acceleration
- moving around the earth in geostationary orbit
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The Correct Option is A
Solution and Explanation
The time period of simple pendulum is
$ T=2\pi \sqrt{\frac{l}{g}} $
$ \Rightarrow $ $ T\propto \frac{1}{\sqrt{g}} $
Since, time period of second pendulum decreases, so, it implies that effective value of $g$ is increasing. Thus, it means that rocket is accelerating upwards.
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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].