Question:
The motion of a particle under the central force is always confined to a plane.
Angular momentum is always conserved in the motion under a central force.
The motion of a particle under the central force is always confined to a plane.
Angular momentum is always conserved in the motion under a central force.
Updated On: Jul 6, 2022
- If both assertion and reason are true and reason is the correct explanation of assertion
- If both assertion and reason are true but reason is not the correct explanation of assertion
- If assertion is true but reason is false
- If both assertion and reason are false
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The Correct Option is A
Solution and Explanation
A central force is always directed towards or away from a fixed point, along the point of application of the force with respect to the fixed point. In motion of a particle under the central force the angular momentum is always conserved. From this, it follows that the motion of a particle under the central force is always confined to a plane.
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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].