Question

Sound wave has frequency of 3khz and wavelength 35cm how long will it take to travel 1.5km

Answer 1

Solution :

⏭ Given:

✏ Frequency of sound wave = 3kHz

✏ Wavelength of sound wave = 35cm

⏭ To Find:

✏ Time required for sound wave to travel 1.5 km.

⏭ Formula:

✏ Relation between frequency, wave length and wave velocity is given by

$\bigstar \: \underline{ \boxed{ \bold{ \sf{ \pink{Wave \: velocity = Frequency \times Wavelength}}}}} \: \bigstar$

✏ Relation between velocity, distance and time is given by

$\bigstar \: \underline{ \boxed{ \bold{ \sf{ \blue{Velocity = \frac{Distance}{Time}}}}}}$

⏭ Conversation:

✏ 3 kHz = 3000 Hz

✏ 35 cm = 0.35 m

✏ 1.5 km = 1500 m

⏭ Calculation:

• Calculation of velocity :

$\mapsto \sf \: Velocity = \nu \times \lambda = 3000 \times 0.35 \\ \\ \mapsto \sf \: \underline{ \red{Velocity = 1050 \: mps}} \: \bigstar$

• Calculation of time :

$\mapsto \sf \: Time = \frac{Distance}{Velocity} \\ \\ \mapsto \sf \: Time = \frac{1500}{1050} \\ \\ \mapsto \: \underline{ \boxed{ \bold{ \sf{ \orange{Time = 1.43 \: s}}}}} \: \green{ \star}$