NEET 2022
- Exam
- NEET
- Year
- 2022
- Subject
- Physics
- Chapter
- Gravitation
NEET 2022 · Physics · Gravitation
In a gravitational field, the gravitational potential is given by,...
In a gravitational field, the gravitational potential is given by, . The gravitational field intensity at point is:
Options
- A
- B
- C
- D
Correct answer
C.
Step-by-step solution
Gravitational field intensity (=\frac{-\partial V}{\partial x} \hat{i}+\frac{-\partial V}{\partial y} \hat{j}+\frac{-\partial V}{\partial x} \widehat{k})
where V is gravitational potential
(\Rightarrow) Gravitational field intensity (=\frac{-\partial}{\partial x}\left[\frac{-K}{x}\right]=\frac{-K}{x^2} \hat{i})
at
(\overrightarrow{E_G}=\frac{-K}{2^2}=\frac{-K}{4} \hat{i})