MHT CET202620 April 2026Evening ShiftPhysicsGravitationActual
Select the correct statement out of the following
Options
- AAcceleration due to gravity decreases as we go up or down from earth's surface.
- BAcceleration due to gravity is same at a height 'h' and depth 'd' from earth's surface, if h = d .
- CAcceleration due to gravity at 640 km above the earth surface decreases by 10% of its value at earth's surface
- DThere is reduction in acceleration due to gravity at poles due to rotation of earth as the poles are lying on
Correct answer
A. Acceleration due to gravity decreases as we go up or down from earth's surface.
Step-by-step solution
The acceleration due to gravity at a height h above the earth's surface is given by g_h = g (1 + h R )⁻² . This shows that g_h 0 . The acceleration due to gravity at a depth d below the earth's surface is given by g_d = g (1 - d R ) . This shows that g_d 0 . Thus, acceleration due to gravity decreases as we go up or down from the earth's surface. For h = d (small values), g_h g (1 - 2h R ) and g_d = g (1 - h R ) , so g_h g_d . At h = 640 km, g_h = g (1 + 640 6400 )⁻² = g ( 11 10 )⁻² = 100 121 g 0.826g , which is a