Question

Assertion :The gravitational field is a vector field that describes the gravitational force which would be applied on an object in any given point in space, per unit mass. It is actually equal to the gravitational acceleration at that point. Reason: Gravitational fields are also conservative; that is, the work done by gravity from one position to another is path-independent. This has the consequence that there exists a gravitational potential field.

• 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

The gravitational field = $\underset{E}{\overset{}{\to }}=\frac{\underset{F}{\overset{}{\to }}}{m}$

Acceleration due to gravity $\underset{a}{\overset{}{\to }}=\frac{\underset{F}{\overset{}{\to }}}{m}$

Gravitation field is also conservative and work done by the gravity =$\frac{G{m}_1{m}_2}{r}$ [r=distance between initial and final position]

It is path independent.

And,reason is not correct for assertion.