Question

A sitar wire is under tension 30N and the length of the bridges is 80 cm. A 10m
sample of that wire has mass 2.2 g. Find the speed of transverse waves on the wire and the
fundamental frequency.(4)​

Answer 1

Answer:

the speed of transverse waves on the wire is 369.3 m/s and the  fundamental frequency is 230.8 Hz

Explanation:

As we know that the speed of transverse wave in a straight wire is given as

$v = \sqrt{\frac{T}{\mu}}$

Here we know that

$T = mg$

$T = 30 N$

also we know that

$\mu = \frac{m}{L}$

$\mu = \frac{2.2 \times 10^{-3}}{10}$

now we have

$v = \sqrt{\frac{30 \times 10}{2.2\times 10^{-3}}}$

$v = 369.3 m/s$

Now fundamental frequency of the wire is given as

$f_o = \frac{v}{2L}$

here the length where wave forms is given as

$L = 80 cm$

so we have

$f_o = \frac{369.3}{2(0.80)}$

$f_o = 230.8 Hz$

#Learn

Topic : Speed of transverse waves

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