Question

A microwave oven operates at 2.40 ghz. what is the wavelength of the radiation produced by this appliance? express the wavelength numerically in nanometers.

Answer 1

$\lambda = \frac{c}{\nu} = \frac{3 \cdot 10^8}{2.4 \cdot 10^9} = \frac{1}{8} = 0.125 \ m = 1.25 \cdot 10^8 \ nm.$

Answer 2

Answer, wavelength is $1.25 \times 10^8$ nm.

The frequency of the microwave is, f = 2.40 GHz.

To Find frequency use the formula:

$c=f$λ

Where, c is the speed of electromagnetic wave or light.

f is the frequency, and λ is the wavelength of light.

Rearranging,

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

Plug in the values,

$\lambdam = \frac{3 \times 10^8 m/s}{2.40 GHz\frac{10^9 Hz}{1 GHz}} =0.125 m\frac{10^9 nm}{1 m} = 1.25 \times 10^8 nm.$