Question

Assertion :Heavier bodies fall with greater acceleration. Reason: Gravitational force is more on heavier bodies.

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Assertion is incorrect but Reason is correct.

Answer 1

The correct option is D Assertion is incorrect but Reason is correct.

the gravitational force acting on a body is given by $\frac{GMm}{r^2}$,

where $M$ is mass of earth and $m$ is mass of the body, and $r$ is the distance between body and center of the earth and $G$ is gravitational constant.

so as the mass of the body increases the force acting on the body increases.

but the acceleration of a freely falling body is given by $\frac{F}{m}$, that will be $\frac{GM}{r^2}$ this constant irrespective of the mass of the body.

so option D is correct.