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Byju's Answer
Standard XII
Physics
COE in SHM
If the length...
Question
If the length of a simple pendulum is equal to the radius of the earth, its time period will be
A
T
=
2
π
√
R
e
g
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B
T
=
2
π
√
R
e
2
g
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C
T
=
2
π
√
2
R
e
g
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D
infinite
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Solution
The correct option is
B
T
=
2
π
√
R
e
2
g
We know,
for a pendulum of large length
L
, the time period is given by
T
=
√
R
e
(
1
+
R
e
/
L
)
g
Where
R
e
is the radius of the earth
when
L
=
R
e
Then
T
=
2
π
√
R
e
(
1
+
R
e
/
R
e
)
g
T
=
2
π
√
R
e
2
g
Hence the correct answer is
(
B
)
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0
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