(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

a) wavelength for the two frequencies are 0.33 m and 0.12 m

(b) 2560 MHz

Explanation:

Given:

microwave frequencies are

900 and 2560 MHz

f1= 900MHz we need to convert it to Go so the unit will be able to be consistent

f1= 900MHz= 900× 10^6Hz

f2= 2560 MHz= 2560×10^6Hz

a)Calculate the wavelength of each

But we can calculate our wavelength λ using the below formula

λ=c/f

c which is the speed of light has a constant value of =3*10^8m/s

Then for the first frequency

λ=c/f =(3×10^8)/900×10^6

=0.33 m

=33 cm.

For the second frequency

λ=c/f = (3×10^8)/2560×10^6

=0.12 m

=12 cm

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

(b) 2560 MHz( has the smallest wavelength)

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