Question

If the frequency of sound wave in air is doubled, its wavelength.

• A. is doubled
• B. increases 4 times
• C. decreases 4 times
• D. is halved

Answer 1

The correct option is D is halved

Answer is D.
A sound wave has a speed that is mathematically related to the frequency and the wavelength of the wave. The mathematical relationship between speed, frequency and wavelength is given by the following equation.
Speed = Wavelength * Frequency
That is, Frequency = speed / Wavelength. The frequency and wavelength are inversely proportional to each other.
So, when the frequency is doubled, the wavelength will be halved.