CGPET 2019 Solved Paper

The variation in gravitational acceleration is given by
g′=g−ω2Rcos2λ ........(i)
where g= gravitational acceleration at surface
omega = angualr velocity
R= Radius of earth
According to the question,
g"=g−ω′Rcos2λ
Hereω′=

ω

2

g"=g−(

ω

2

)2Rcos2λ ...........(ii)
From Eqs. (i) and (ii), it is clear that
g">g
As we know that
Weight of a body, w=mg
Here mass of body remains constant
Hence if earth suddenly starts rotating with half of its angular velocity of rotation, then the weight of body will increases.
Hence, w∝g