JEE Main 202524 JanuaryEvening Shift
- Exam
- JEE Main
- Year
- 2025
- Date
- 24 January
- Shift
- Evening Shift
- Subject
- Physics
- Chapter
- Gravitation
JEE Main 2025 · 24 January · Evening Shift · Physics · Gravitation
Acceleration due to gravity on the surface of earth is ' g '. If...
Acceleration due to gravity on the surface of earth is ' '. If the diameter of earth is reduced to one third of its original value and mass remains unchanged, then the acceleration due to gravity on the surface of the earth is g.
Correct answer
9
Step-by-step solution
acceleration due to gravity on surface is given by
\mathrm{g}=\frac{\mathrm{GM}}{\mathrm{R}_{\mathrm{e}^2}
Now since diameter is reduced to , radius also reduces to , keeping mass constant
New value of acceleration due to gravity on Earth's surface is
\mathrm{g}^{\prime}=\frac{\mathrm{GM}}{\left(\frac{\mathrm{R}_{\mathrm{e}}}{3}\right)^2}=9 \frac{\mathrm{GMe}}{\mathrm{R}_{\mathrm{e}^2}=9