1
BITSAT 2022
+3
-1

What will be the acceleration due to gravity at a depth d, where g is acceleration due to gravity on the surface of earth?

A
$${g \over {{{\left[ {1 + {d \over R}} \right]}^2}}}$$
B
$$g\left[ {1 - {{2d} \over R}} \right]$$
C
$${g \over {{{\left[ {1 - {d \over R}} \right]}^2}}}$$
D
$$g\left[ {1 - {d \over R}} \right]$$
2
BITSAT 2021
+3
-1

From a solid sphere of mass M and radius R, a spherical portion of radius $${R \over 2}$$ is removed as shown in the figure.

Taking gravitational potential V = 0 at r = $$\infty$$, the potential at the centre of the cavity thus formed is

A
$$- {{GM} \over {2R}}$$
B
$$- {{GM} \over {R}}$$
C
$$- {{2GM} \over {3R}}$$
D
$$- {{2GM} \over {R}}$$
3
BITSAT 2021
+3
-1

If the earth stops rotating about its axis, then what will be the change in the value of g at a place in the equatorial plane? (Radius of earth = 6400 km)

A
3.7 cm/s2
B
9.8 m/s2
C
0
D
3.4 cm/s2
4
BITSAT 2020
+3
-1

Two spheres of the same material and same radii r are touching each other. The gravitational force between the spheres is proportional to

A
$${1 \over {{r^2}}}$$
B
r2
C
$${1 \over {{r^4}}}$$
D
r4
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