question_answer

Direction for: In each of the following questions a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements mark the correct answer as

Assertion: A man in a closed cabin falling freely does not experience gravity. Reason: Inertial and gravitational mass have equivalence.

A) If both assertion and reason are true and the reason is the correct explanation of assertion.

B) If both assertion and reason are true but the reason is not the correct explanation of the assertion.

C) If assertion is true statement but reason is false.

D) If both assertion and reason are false.

Correct Answer: A

Solution :

In a closed cabin falling freely, the forces are acting on the man as shown: \[mg-R=mg\] or   \[R=mg-mg\] \[=0\] Since, reaction on the man is zero, hence, man does not experience gravity. Inertial mass of a body is the ratio of net force acting on the body to the acceleration produces in the body, i.e., \[m=\frac{F}{a}\] Gravitational mass of a body is the ratio of gravitational force acting on the body to the acceleration due to gravity, i.e.,             \[m=\frac{w}{g}\]      Inertial mass and gravitational mass are equivalent. Hence, option (a) is true.