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 $\frac{5\lambda }{4}=\frac{5L}{6}$