Question

Assertion :Gravitational field strength at a place is equal to the acceleration produced in a freely falling body at that place. Reason: As we proceed away from the earth, the gravitational potential goes on increasing.

• 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. Both Assertion and Reason are incorrect

Answer 1

The correct option is B Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

Gravitational field strength at a point $E=\frac{F}{m}$

Acceleration produced in a freely falling body due to gravitation $a=\frac{F}{m}$

where $F$ is a gravitational force and $m$ is the mass of the object.

$⟹$ $E=a$

Thus we say that gravitational field strength at a place is equal to the acceleration produced in a freely falling body at that place.

Gravitational potential $V_g=\frac{-GM}{r}$

As we proceed away from earth, $r$ increases and although magnitude of $V_g$ decreases but being negative sign $V_g$ increases with increase in $r$.

Hence both the statements are correct but Reason is not the correct explanation of Assertion.