Class 11 NEET Physics Gravitation Questions

Acceleration due to gravity at a height h from the surface of earth is
g′=

g

(1+ h R )2

..........(i)
where g is the acceleration due to gravity at the surface of earth and R is the radius of earth.
Multiplying by m (mass of the body) on both sides in (i), we get
mg′=

mg

(1+ h R )2

∴ Weight of body at height h ,W′=mg′
Weight of body at surface of earth, W= mg
According to question,W′=

1

16

W
∴

1

16

=

1

(1+ h R )2

or (1+

h

R

)2=16 or 1+

h

R

=4
or

h

R

=3 or h=3R