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Byju's Answer
Standard XI
Physics
Dimensional Analysis
The frequency...
Question
The frequency
(
n
)
of vibration of a string is given as
n
=
1
2
l
√
T
m
, where
T
is tension and
l
is the length of vibrating string. Then, the magnitude of summation of powers of
M
and
L
in the dimensional formula of
m
is
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Solution
n
=
1
2
l
√
T
m
⇒
n
2
=
1
4
l
2
T
m
m
=
T
4
l
2
n
2
=
[
M
L
T
−
2
L
2
×
T
−
2
]
=
[
M
L
−
1
]
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