Question

A wave of frequency 13 000 Hz travels 1300 m in 4.0 s.What is the wavelength of the wave?

Answer 1

speed of the wave = 1300/4 = 325 m/s

wavelength = 325/13000 = 0.25 m

Answer 2

$\boxed{\bf{ \blue{\bigstar Find \longrightarrow }}}$

• wavelength of the wave?

$\boxed{\bf{ \orange{\bigstar Given \longrightarrow }}}$

• Frequency = 13 000 Hz
• Distance= 1300 m
• Time = 4 sec

$\boxed{\bf{ \green{\bigstar Formula \ used \longrightarrow }}}$

• $\boxed{\tt{v = \dfrac{s}{t}} }$

where,

v= velocity of wave

s= distance

t= time

• $\boxed{\tt{ v = f \times \lambda}}$

v= velocity

f = frequency,

λ= wave length

$\boxed{\bf{ \red{\bigstar SoLution \longrightarrow }}}$

$\sf{velocity \ of \ wave (v) = \dfrac{s}{t} = \dfrac{1300}{4} = 325m/sec}$

Put value on v in wavelength formula,

$\sf{ \implies \lambda = \dfrac{v}{n} }$

$\sf{ \lambda = \dfrac{325}{13000}= 0.25m}$

$\rm{\pink{\therefore wave\ length\ of\ the\ wave\ is\ 0.25 m \bigstar }}$

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