Question

the frequency of the sound wave is 200 hertz and its wavelength is 150 cm what is the distance travelled by a sound wave in the time taken to produce 150 waves

Answer 1

Frequency is the Number of Waves passing a through a Point in One Second

Given : The Frequency of the Sound Wave is 200 Hertz

It means 200 Waves are passing through a fixed point in One Second

$\mathsf{\implies Time\;taken\;to\;produce\;150\;Waves = (\frac{150}{200}) = \frac{3}{4}\;Second}$

Given : The Wavelength of each Wave = 150 cm

⇒ In One Second the Sound Wave Travels a Distance of (200 × 150) cm

⇒ In One Second the Sound Wave Travels a Distance of 30000 cm

⇒ In One Second the Sound Wave Travels a Distance of 300 m

$\mathsf{In\;(\frac{3}{4})^t^h\;Second\;the\;Sound\;Wave\;Travels\;a\;Distance\;of : (\frac{3}{4} \times 300)\;Meter}$

$\mathsf{In\;(\frac{3}{4})^t^h\;Second\;the\;Sound\;Wave\;Travels\;a\;Distance\;of\;225\;Meter}$

The Distance traveled by the sound wave in time taken to produce 150 waves is 225 Meter