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

Answer:

(a) $\lambda=0.032\ m$

(b) v = 1064 m/s                                                                

Explanation:

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

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

$c=f\lambda$

$\lambda=\dfrac{c}{f}$

$\lambda=\dfrac{3\times 10^8\ m/s}{9.35\times 10^9\ Hz}$

$\lambda=0.032\ m$

(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 :

$v=f\lambda$

$v=532\times 2$

v = 1064 m/s

Hence, this is the required solution.