MP Board · Class 9 · Science · SoundA sound wave has a frequency of $500\text{ Hz}$ and travels at a speed of $340\text{ m/s}$. Calculate its wavelength.

Given data:\nFrequency of the sound wave, $f = 500\text{ Hz}$\nSpeed of the sound wave, $v = 340\text{ m/s}$ \nWe know the relation between wave speed ($v$), frequency ($f$), and wavelength ($\lambda$): $$v = f \times \lambda$$ \nRearranging the formula to find wavelength ($\lambda$): $$\lambda = \frac{v}{f}$$ \nSubstitute the given values into the equation: $$\lambda = \frac{340\text{ m/s}}{500\text{ Hz}} = 0.68\text{ meters}$$ \nTherefore, the wavelength of the given sound wave is $0.68\text{ meters}$ (or $68\text{ cm}$).