Question

What is the wavelength of microwaves of 3.0 × 10^9 Hz frequency? a. 0.050 m c. 0.10 m b. 0.060 m d. 0.20 m

Answer 1

Hello!

We have the following data:

f (radiation frequency) = 3.0 × 10^9 Hz

v (speed of light) = 3*10^8\:m/s

λ (wavelength) = ? (in m)

Let's find the wavelength, let's see:

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

$3.0*10^9 = \dfrac{3*10^8}{\lambda}$

$\lambda = \dfrac{3*10^8}{3*10^9}$

$\lambda = 1*10^{8-9}$

$\lambda = 1*10^{-1}$

$\boxed{\boxed{\lambda = 0.1\:m}}\end{array}}\qquad\checkmark$

Answer:

c. 0.10 m

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I Hope this helps, greetings ... DexteR! =)