MHT CET · Physics · Waves and Sound

In sonometer experiment, the string of length $L$ under tension vibrates in second overtone between two bridges. The amplitude of vibration is maximum at

A $\frac{L}{3}, \frac{2 L}{3}, \frac{5 L}{6}$
B $\frac{L}{8}, \frac{L}{4}, \frac{L}{2}$
C $\frac{L}{2}, \frac{L}{4}, \frac{L}{6}$
D $\frac{L}{6}, \frac{L}{2}, \frac{5 L}{6}$

Verified Solution

Answer & Solution

Correct Answer

(D) $\frac{L}{6}, \frac{L}{2}, \frac{5 L}{6}$

Step-by-step Solution

Detailed explanation

String vibrating in second overtone:

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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In sonometer experiment, the string of length L under tension vibrates in second overtone between two bridges. The amplitude of vibration is maximum at

Step-by-step Solution

In sonometer experiment, the string of length $L$ under tension vibrates in second overtone between two bridges. The amplitude of vibration is maximum at