check by the method of dimensions V=1/2×√T/m
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11th
Physics
Units and Measurement
Dimensions and Dimensional Analysis
Check the correctness of eq...
PHYSICS
Check the correctness of equation
v=
2l
1
M
T
MEDIUM
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ANSWER
ν=
2l
1
M
T
Where T Tension.
m= Mass per unit Length.
l=Length.
ν= Frequency.
Dimension of T=[MLT
−2
]
Dimension of m=[ML
−1
]
Dimension of l=[L]
Dimension of ν=[T
−1
]
∵ L.H.S Should be equal to R.H.S
L.H.S=[T
−1
]
R.H.S =
M
2
1
L
2
−1
L
M
2
1
L
2
1
T
−1
=
L
2
1
L
2
−1
T
−1
∴ L.H.S = R.H.S
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