Question

How long will it take for a sound wave of 25cm. wavelength and 1.5KHz frequency of, to travel a distance of 3km.?

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Time=8\:sec}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Fiven :}} \\ \tt: \implies Wavelength = 25 \: cm \\ \\ \tt: \implies Frequency = 1.5\:kHz \\ \\ \tt: \implies Distance =3 \: km \\ \\ \red{\underline \bold{To \: Find :}} \\ \tt: \implies Time \: taken = ?$

• According to given question :

$\tt \circ \: Frequency = 1.5 \times {10}^{3} \: Hz \\ \\ \tt \circ \: Wavelength = \frac{25}{100} = 0.25 \: m \\ \\ \tt \circ \: Distance = 3\times {10}^{3} \: m \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies Velocity \: of \: sound = frequency \times wavelength \\ \\ \tt: \implies Velocity \: of \: sound = 1.5 \times {10}^{3} \times 0.25 \\ \\ \tt: \implies Velocity \: of \: sound = 375 \: ms \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies Time = \frac{Distance}{Velocity} \\ \\ \tt: \implies t = \frac{3 \times {10}^{3} }{375} \\ \\ \tt: \implies t = \frac{3000}{375} \\ \\ \green{\tt: \implies t = 8 \: sec}$

Answer 2

$</p><p>\tt{\red{\huge{Hello!!! }}}$

The Illustration Is Provided in the attachment above.

$</p><p>\tt{\huge{\boxed{\boxed{\purple{\bullet{Question \: - }}}}}}$

How long will it take for a sound wave of 25cm. wavelength and 1.5KHz frequency of, to travel a distance of 3km?

$</p><p>\tt{\orange {Step-By-Step-Explaination \: :- }}$

$</p><p>\tt{\red{-------------}}$

$</p><p>\tt{\blue{Given \: - }}$

• Wavelength = 25 cm.

• Frequency = 1.5 KHz.

• The Distance is 3000 m.

$</p><p>\tt{\green{-------}}$

We Know That :

$\tt{ \purple{ \mathfrak{ \implies{v \: = f \: \times \lambda \: = 375 \: m.s}}}}$

Where

lambda is the wavelength.

$\tt{ \orange{ \implies{t \: = \dfrac{Velocity}{Distance} \: = 8 \: sec. }}}$

$</p><p>\tt{\red{-------------}}$