JEE Main · PhysicsHard
Two identical strings of length $L$ and linear mass density $\mu$ are under tension $T$. One string is plucked at $L/4$ and the other at $L/2$. What is the ratio of the energy of the second harmonic in the first string to the energy of the second harmonic in the second string?
- A.$1:0$
- B.$4:1$
- C.$1:4$
- D.$1:1$
Show correct answer & step-by-step solution
Correct answer: A — $1:0$
Solution
The amplitude of the -th harmonic is proportional to . For the second harmonic (), if the string is plucked at , the amplitude is , meaning the second harmonic is not excited in the second string.
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