A source produces a sound wave of wavelength 3.44 m. If the wave travels with a speed of 344 ms⁻¹ find its time period.

Wavelength (λ) = 3.44 m

Speed of sound (v) = 344 m/s

The speed of a sound wave is related to its wavelength and frequency by the formula:

$v=\lambda\times\nu$

So, frequency is calculated as:

$$v = \frac{v}{\lambda} = \frac{344 \text{ m/s}}{3.44 \text{ m}} = 100 \text{ Hz}$$

Since time period and frequency are inversely related:

$$T = \frac{1}{v} = \frac{1}{100} = 0.01 \text{ s}$$

Hence, the time period of the sound wave is 0.01 s.