Question

A) Find the wavelength of an electromagnetic wave with frequency 9.35 GHz = 9.35 109 Hz (G = giga = 109), which is in the microwave range. λ = m

(b) Find the speed of a sound wave in an unknown fluid medium if a frequency of 532 Hz has a wavelength of 2.00 m.

Answer 1

(a)
`\lambda=0.032\ m`

(b) v = 1064 m/s

Step-by-step explanation:

(a) Frequency of electromagnetic wave,
`f=9.35\ GHz=9.35* 10^9\ Hz`

Let
`\lambda` is the wavelength of electromagnetic wave. It can be calculated as :

`c=f\lambda`

`\lambda=(c)/(f)`

`\lambda=(3* 10^8\ m/s)/(9.35* 10^9\ Hz)`

`\lambda=0.032\ m`

(b) Frequency of medium, f = 532 Hz

Wavelength,
`\lambda=2\ m`

Let v is the speed of sound wave in an unknown fluid. Using the relation as :

`v=f\lambda`

`v=532* 2`

v = 1064 m/s

Hence, this is the required solution.