Question:
The ratio of inertial mass to gravitational mass is equal to one.
The inertial mass and gravitational mass of a body are equivalent.
The ratio of inertial mass to gravitational mass is equal to one.
The inertial mass and gravitational mass of a body are equivalent.
Updated On: Jul 28, 2022
- If both the assertion and reason are true and reason explains the assertion.
- If both the assertion and reason are true but reason does not explain the assertion.
- If assertion is true but reason is false.
- If assertion is false but reason is true.
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The Correct Option is C
Solution and Explanation
Inertial mass and gravitational mass are equivalent. Both are scalar quantities and measured in the same unit. They are quite different in the method of their measurement. Also gravitational mass of a body is affected by the presence of other bodies near it where as internal mass remain unaffected.
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Concepts Used:
Newtons Law of Gravitation
Gravitational Force
Gravitational force is a central force that depends only on the position of the test mass from the source mass and always acts along the line joining the centers of the two masses.
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,
- Directly proportional to the product of their masses i.e. F ∝ (M1M2) . . . . (1)
- Inversely proportional to the square of the distance between their center i.e. (F ∝ 1/r2) . . . . (2)
By combining equations (1) and (2) we get,
F ∝ M1M2/r2
F = G × [M1M2]/r2 . . . . (7)
Or, f(r) = GM1M2/r2 [f(r)is a variable, Non-contact, and conservative force]