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Standard XII
Physics
Revisiting Standing Waves
50. The frequ...
Question
50. The frequency of the vibration of a string depends on the length L between the nodes, the tension F in the string and its mass per unit length m. Find the expression for its frequency from dimensional analysis.
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Q.
The frequency of vibration of a string depends on the length L between the nodes, the tension F in the string and its mass per unit length m. Guess the expression for its frequency from dimensional analysis.
Q.
The frequency
n
of vibration of stretched string depends upon its length
l
, its mass per unit length
m
and Tension
t
in the string Obtain dimensionally an expression for frequency
n
.
Q.
The frequency of vibration of a depends upon the length of the string, tension in the string & mass per unit length of the string
(
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. Using dimension obtain the expression for the same.
Q.
The frequency of vibration (v) of a string may depend upon length (l) of the string, tension (T) in the string and mass per unit length (m) of the string. Use method of dimensions for establishing the formula for frequency v
Q.
Assuming that the frequency
γ
of a vibrating string may depend upon
i
)
applied force
(
F
)
i
i
)
length
(
ℓ
)
i
i
i
)
mass per unit length
(
m
)
, prove that
γ
α
1
l
√
F
m
using dimensional analysis.
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