Q. 94.8( 4 Votes )

Which of the following options are correct?
A. Acceleration due to gravity decreases with increasing altitude.

B. Acceleration due to gravity increases with increasing depth (assume the earth to be a sphere of uniform density).

C. Acceleration due to gravity increases with increasing latitude.

D. Acceleration due to gravity is independent of the mass of the earth.

Answer :

When a particle is placed on the surface of the earth, then the acceleration due to gravity is given by


…(i)


Now when the particle is at a height h form the surface then new acceleration becomes


…..(ii)


From eqn. (i) and (ii)



Therefore, acceleration due to gravity decreases with increasing altitude


Now, if a body of mass m is placed on the point whose angle of latitude is ϕ then acceleration due to gravity is given by



Where,


ω = angular velocity of earth


R = radius of earth


As the latitude increases, ϕ increases and cosϕ decreases, thus increasing the value of g


Therefore, (a) and (c) are correct option

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