A bottlenose dolphin can hear sounds with frequencies up to 1.5 x 10^5 Hz. If the speed of sound in sea water is approximately 1.5 x 10^3 m/s, what is the wavelength of the wave thae dolphin can hear?

a
2.25 x 10^2 m
b
1 x 10^-2 m
c
1 x 10^2 m

Respuesta :

Answer:

b.  1.0 × [tex]10^{-2}[/tex] m

Explanation:

The wavelength of a wave is the distance between successive crests or troughs. It is measured in meters, and related to velocity and frequency of the wave by:

  v = fλ

Where v is the velocity, f frequency and λ is the wavelength of the wave. Given that; f = 1.5× [tex]10^{5}[/tex] Hz and v = 1.5 × [tex]10^{3}[/tex], then:

            λ = [tex]\frac{v}{f}[/tex]

               = [tex]\frac{1.5*10^{3} }{1.5*10^{5} }[/tex]

               = 1.0 × [tex]10^{-2}[/tex] m

The wavelength, λ, of the wave is  1.0 × [tex]10^{-2}[/tex] m.