JIPMER2018PhysicsGravitation
R is the radius of Earth and is its angular velocity and g_p is the value of g at the poles. The effective value of g at a latitude =60^ .
Options
- Ag_p- 1 4 R ^2
- Bg_p+ 1 4 R ^2
- Cg_p- 1 2 R ^2
- Dg_p+ 1 2 R ^2
Correct answer
A. g_p- 1 4 R ^2
Step-by-step solution
The acceleration due to gravity at a latitude is g ^ = g - R ^2 ^2 At the poles, =90^ g ^ = g = g _ p For =60^ , g ^ = g _ p - R ^2 ^2 or g^ =g_p-R ^2 ^2 60^ =g_p-R ^2 ( 1 2 )^2=g_p- 1 4 R ^2