Question

Electromagnetic radiation behaves both as particles (called photons) and as waves. Wavelength (λ) and frequency (ν) are related according to the equation c=λ×ν where c is the speed of light (3.00×108 m/s). The energy (E in joules) contained in one quantum of electromagnetic radiation is described by the equation E=h×ν where h is Planck's constant (6.626×10−34 J⋅s). Note that frequency has units of inverse seconds (s−1), which are more commonly expressed as hertz (Hz). A microwave oven operates at 2.20 GHz . What is the wavelength of the radiation produced by this appliance?

Answer 1

Answer: 136.363 m

Explanation:

We can find the wavelength of the radiation produced by the microwave oven by using the following given equation:

$c=\lambda.\nu$   (1)

Clearing $\lambda$ :

$\lambda=\frac{c}{\nu}$   (2)

Knowing $\nu=2.20 GHz=2.20(10)^{6}Hz=2.20(10)^{6}s^{-1}$

$\lambda=\frac{3(10)^{8}m/s}{2.20(10)^{6}s^{-1}}$   (3)

$\lambda=136.363m$ This is the wavelength of the radiation produced by the microwave