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JEE Main Physics Class 11 Gravitation Part 1 Questions
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© examsnet.com
Question : 5
Total: 100
If the angular velocity of Earth's spin is increased such that the bodies at the equator start floating, the duration of the day would be approximately (Take
2
g
=
10
m
s
−
2
, the radius of Earth,
R
=
6400
×
10
3
m
, take
π
=
3.14
)
[18 Mar 2021 Shift 2]
60
m
i
n
does not change
1200
m
i
n
84
m
i
n
Validate
Solution:
Condition of weightlessness,
g
equator
=
0
g
equazar
=
g
−
ω
2
R
The radius of the Earth,
R
=
6400
k
m
=
6.4
×
10
6
m
⇒
ω
=
√
g
R
ω
=
√
10
6.4
×
10
6
m
⇒
ω
=
1
800
r
a
d
/
s
The duration of the day,
T
=
2
π
ω
⇒
T
=
2
π
1
800
⇒
T
=
5024
s
⇒
T
=
5024
60
m
i
n
⇒
T
=
84
m
i
n
Hence, the duration of the day would be 84 min.
© examsnet.com
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