Question

Part a a microwave oven operates at 2.90 ghz . what is the wavelength of the radiation produced by this appliance? express the wavelength numerically in nanometers.

Answer 1

The parameter in GHz or Gigahertz is the frequency which is equal to 10⁹ of 1 Hz or s⁻¹. To determine its corresponding wavelength, we use the speed of electromagnetic waves. Its speed is the same with the speed of light which is equal to 3×10⁸ m/s. The solution is as follows:

Speed = Frequency*Wavelength
3×10⁸ m/s = (2.90×10⁹ Hz)(Wavelength)
Wavelength = 0.1034 m or 1.034×10⁻¹⁰ nm

Answer 2

Answer:

$\lambda = 0.103 m = 1.03 \times 10^8 nm$

Explanation:

As we know that microwave is an electromagnetic wave which travels with the speed of light

it is given as

$v = 3\times 10^8 m/s$

it is given that the frequency of the microwave is

$f = 2.90 ghz$

$f = 2.90 \times 10^9 Hz$

now from the formula of wavelength we will have

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

now plug in all values in it

$\lambda = \frac{3 \times 10^8}{2.90 \times 10^9}$

$\lambda = 0.103 m$