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The speed of transverse waves on a stretched string depends only on the tension in…
PHYSICS · Single correct · CBSE · Physics · Waves · Waves
Problem
The speed
v
v
v
of transverse waves on a stretched string depends only on the tension
F
F
F
in the string and its linear mass density
μ
\mu
μ
. Which relation is consistent with dimensional considerations? (a)
v
∝
F
−
1
/
2
μ
−
1
/
2
v \propto F^{-1/2}\,\mu^{-1/2}
v
∝
F
−
1/2
μ
−
1/2
(b)
v
∝
F
1
/
2
μ
1
/
2
v \propto F^{1/2}\,\mu^{1/2}
v
∝
F
1/2
μ
1/2
(c)
v
∝
F
1
/
2
μ
−
1
/
2
v \propto F^{1/2}\,\mu^{-1/2}
v
∝
F
1/2
μ
−
1/2
(d)
v
∝
F
μ
−
1
v \propto F\,\mu^{-1}
v
∝
F
μ
−
1
Related theory
Wave Speed
Dimensions of Physical Quantities
Dimensional Analysis
Standing waves and resonance
Waves
Vibrations of stretched strings
Speed of a transverse wave on a stretched string
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