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Variation in Value of Acceleration due to Gravity
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A box weights 196 N on a spring balance
Question
A box weights
1
9
6
N
on a spring balance at the north pole. Its weight recorded on the same balance if it is shifted to the equator is close to (Take
g
=
1
0
m
s
−
2
at the north pole and the radius of the earth
=
6
4
0
0
k
m
):
A
1
9
5
.
6
6
N
B
1
9
4
.
3
2
N
C
1
9
5
.
3
2
N
D
1
9
4
.
6
6
N
Hard
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Updated on : 2022-09-05
Solution
Verified by Toppr
Correct option is C)
Weight of box measured at north pole
⇒
w
p
=
1
9
6
N
=
M
g
,
M
=
1
9
.
6
Weight of box measured at equator,
w
e
=
w
p
−
w
2
R
×
M
=
1
9
6
−
(
7
.
3
×
1
0
−
5
)
2
×
6
4
0
0
×
1
0
3
×
M
[
w
=
7
.
3
×
1
0
−
5
r
a
d
i
u
s
R
=
6
4
0
0
k
m
]
=
1
9
6
−
5
3
.
2
9
×
1
0
−
1
0
×
6
.
4
×
1
0
6
×
1
9
.
6
=
1
9
6
−
0
.
0
3
4
1
×
1
9
.
6
w
e
=
1
9
5
.
3
2
N
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