Question

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

Answer 1

b. 1.0 ×
`10^(-2)` m

Step-by-step 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×
`10^(5)` Hz and v = 1.5 ×
`10^(3)`, then:

λ =
`(v)/(f)`

=
`(1.5*10^(3) )/(1.5*10^(5) )`

= 1.0 ×
`10^(-2)` m

The wavelength, λ, of the wave is 1.0 ×
`10^(-2)` m.