A sound wave has a frequency of 1500 Hz andwavelength 25 cm. How long

1.	A sound wave has a frequency of 1500 Hz andwavelength 25 cm. How long will it take to travel 3 km?
Answer» Solution : ⏭ Given: ✏ Frequency of SOUND wave = 1500Hz ✏ Wavelength = 25cm ✏ Distance covered = 3km ⏭ To Find: ✏ TIME requires to cover the given distance. ⏭ Formula: ✏ Relation between frequency, wave velocity and wavelength is given by $\bigstar \sf \: { \boxed{\tt{ \pink{frequency = \frac{velocity}{wavelength}}}}} \: \bigstar$ ✏ Relation between velocity, distance and time is given by $\bigstar \: \boxed{ \tt{ \green{ velocity = \dfrac{distance}{time}}}} \: \bigstar$ ⏭ Conversation: 25 cm = 0.25 m 3 km = 3000 m ⏭ Calculation: ____________________________ $\implies \sf \: \red{ \nu = \dfrac{v}{ \lambda} = \dfrac{d}{ \lambda \times t} } \\ \\ \implies \sf \: 1500 = \dfrac{3000}{0.25 \times t} \\ \\ \implies \sf \: t = \dfrac{3000}{1500 \times 0.25} \\ \\ \implies \: \boxed{ \tt{ \large{ \purple{t = 8 \: sec}}}}$ ____________________________ ⏭ Additional information: Velocity is defined as ratio of distance covered to the TOTAL times. Wavelength is defined as distance covered by wave in time equal to time period. Time period is defined as time requires to complete ONE oscillation.

A sound wave has a frequency of 1500 Hz andwavelength 25 cm. How long will it take to travel 3 km?

Answer»

Solution :

⏭ Given:

✏ Frequency of SOUND wave = 1500Hz

✏ Wavelength = 25cm

✏ Distance covered = 3km

⏭ To Find:

✏ TIME requires to cover the given distance.

⏭ Formula:

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

$\bigstar \sf \: { \boxed{\tt{ \pink{frequency = \frac{velocity}{wavelength}}}}} \: \bigstar$

✏ Relation between velocity, distance and time is given by

$\bigstar \: \boxed{ \tt{ \green{ velocity = \dfrac{distance}{time}}}} \: \bigstar$

⏭ Conversation:

25 cm = 0.25 m
3 km = 3000 m

⏭ Calculation:

____________________________

$\implies \sf \: \red{ \nu = \dfrac{v}{ \lambda} = \dfrac{d}{ \lambda \times t} } \\ \\ \implies \sf \: 1500 = \dfrac{3000}{0.25 \times t} \\ \\ \implies \sf \: t = \dfrac{3000}{1500 \times 0.25} \\ \\ \implies \: \boxed{ \tt{ \large{ \purple{t = 8 \: sec}}}}$

____________________________

⏭ Additional information:

Velocity is defined as ratio of distance covered to the TOTAL times.
Wavelength is defined as distance covered by wave in time equal to time period.
Time period is defined as time requires to complete ONE oscillation.