Question:
Establish the relationship between speed of sound, its wavelength and frequency. If velocity of sound in air is $340 \mathrm{~m} \mathrm{~s}^{-1}$, calculate
(i) wavelength when frequency is $256 \mathrm{~Hz}$.
(ii) frequency when wavelength is $0.85 \mathrm{~m}$. (CBSE 2012)
Solution:
Refer Article 6.2.5. (i) $\lambda=\frac{v}{v}=\frac{340}{256}=1.33 \mathrm{~m}$
(ii) $v=\frac{v}{\lambda}=\frac{340}{0.84}=400 \mathrm{~Hz}$.