Question

The length of a sonometer wire is $75cm$ and frequency of its $2nd$ overtone is $300Hz$. The velocity of transverse wave that travels in the wire is

• A. $150m{s}^{-1}$
• B. $200m{s}^{-1}$
• C. $100m{s}^{-1}$
• D. $300m{s}^{-1}$

Answer 1

Answer: (A)

$150m{s}^{-1}$

$2^{nd}overtone=\frac{3\nu }{2L}=300Hz$
$\Rightarrow \frac{3\times \nu }{2\times \frac{75}{100}}=300$
$\nu =\frac{300\times 75\times 2}{100\times 3}$
$=150m/s.$