Answer to Question #289897 in Electricity and Magnetism for shebe

Question

(a) Two microwave frequencies are authorized for use in microwave ovens: 900 and 2560 MHz. Calculate the wavelength of each.

(b) Which frequency would produce smaller hot spots in foods due to interference effects?

Answer 1

Wavelength

$\lambda_1=\frac{c}{\nu_1}$

$\lambda_1=\frac{3\times10^8}{900\times10^6}=0.33m$

$\lambda_2=\frac{c}{\nu_2}$

$\lambda_2=\frac{3\times10^8}{2560\times10^6}$

$\lambda_2=0.1171m$

(B)

2560 MHz( has the smallest wavelength)

$\lambda=0.1171m$

This is because a small wavelength microwave gives a pattern with which is interference with waves and have a closer hotspot