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Gravitation
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© examsnet.com
Question : 2
Total: 25
Choose the correct alternative :
(a) Acceleration due to gravity increases/decreases with increasing altitude.
(b) Acceleration due to gravity increases/decreases with increasing depth (assume the earth to be a sphere of uniform density).
(c) Acceleration due to gravity is independent of mass of the earth/mass of the body.
(d) The formula
–
G
M
m
(
1
∕
r
2
−
1
∕
r
1
)
is more/less accurate than the formula
m
g
(
r
2
–
r
1
)
for the difference of potential energy between two points
r
2
and
r
1
distance away from the centre of the earth.
Validate
Solution:
(a) Acceleration due to gravity g decreases with increasing altitude as
g
′
=
g
R
(
R
+
h
)
2
.
(b) Acceleration due to gravity g decreases with depth as
g
′
=
g
(
1
−
d
R
)
where d is the depth.
(c) Acceleration due to gravity is,
g
=
G
M
e
R
e
2
Therefore, g is independent of mass of body
(d) More
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