Question

A string of length 2 m is fixed at both ends. If this string vibrates in its fourth normal mode with a frequency of 500 It's then the waves would travel on it with a velocity of:

• A. 125 m/s
• B. 250 m/s
• C. 500 m/s
• D. 1000 m/s

Answer 1

The correct option is C 500 m/s

$\left(c\right)$ For string $\lambda =\frac{2l}{p}$

where $p=$ No. of loops $=$ Order of vibrationHence for forth mode $p=4\Rightarrow \lambda =\frac{l}{2}$

Hence $v=n\lambda =500\times \frac{2}{2}=500m/s$