Question

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

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

Answer 1

Answer: (D)

For second overtone $\frac{3 \lambda}{2}= L$
first maxima will be at $\frac{\lambda}{4}=\frac{ L }{6}$
second maximum at $\frac{3 \lambda}{4}=\frac{ L }{2}$
Third maximum at $\frac{5 \lambda}{4}=\frac{5 L }{6}$