Physics - Sound Wave Question with Solution | TestHub

Frequency of wave,$\nu =1000 \mathrm{Hz}$
Number of successive nodes = 6
The total distance between six successive nodes =$85 \mathrm{cm}$

From the relation between the distance of nodes and wavelength of the wave

$\text{s}=85=\frac{\left(\text{n}-1\right)\lambda }{2}=\frac{\left(6-1\right)\lambda }{2}=\frac{5\lambda }{2}$

where,$\lambda$= wavelength of the wave

$\therefore \lambda =\frac{2\times 85}{5}=3\mathrm{4 }\text{cm}=0\text{.}3\mathrm{4 }\text{m}$

Hence, the speed of sound in the gas = v$\lambda$

$= 1000\times 0.34 = 340 \mathrm{m} {\mathrm{s}}^{-1}$