Ques. 1JEE Main 2024, 27 January (Morning Shift)
The acceleration due to gravity on the surface of earth is g. If the diameter of earth reduces to half of its original value and mass remains constant, then acceleration due to gravity on the surface of earth would be :
- g/4
- 2g
- g/2
- 4g
Answer
(4) 4g
Solution
g= GMR2 g 1R2 (M constant)
diameter halves, new radius R2= R2
g2= GM(R/2)2=4 GMR2
g2=4g
Answer: (4)