If the big sphere and the small are of masses M,m respectively and d is the separation between their centres then the grvitational force is F if the mass of the big shpere is doubled the restoring torque at equilibrium is

Options

A. doubled
B. halved
C. quadrupled
D. none of the above

Answer

A

Explanation

At equiibrium `FL=pi theta`= Restoring torque
where `F=(GmM)/(d^(2))`
`rarr` Restoring torque`=(GmM)/(d^(2)) L rarr` Restoring torque `prop` M
It means if mass of big sphere M doubled the resptoring torque also doubles