MHT CET · Physics · Waves and Sound
Two copper wires of radii \(r_1\) and \(r_2\left(r_1>r_2\right)\) are subjected to the same tension and are plucked. The transverse waves will
- A not travel through both the wires
- B travel with the same velocity in both the wires
- C travel faster in the thinner wire
- D travel faster in the thicker wire
Answer & Solution
Correct Answer
(C) travel faster in the thinner wire
Step-by-step Solution
Detailed explanation
The velocity of a transverse wave on string is given by
\(v=\sqrt{\frac{T}{\rho A}}\)
\(v \propto \frac{1}{\sqrt{A}}\)
or \(v \propto \frac{1}{R}\)
or \(v \propto \frac{1}{R}\)
Therefore, transverse wave travels faster on thinner wire.
\(v=\sqrt{\frac{T}{\rho A}}\)
\(v \propto \frac{1}{\sqrt{A}}\)
or \(v \propto \frac{1}{R}\)
or \(v \propto \frac{1}{R}\)
Therefore, transverse wave travels faster on thinner wire.
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