Answer:
The smallest microwave frequency is 1.5 GHz.
Explanation:
Given that,
Distance d= 20 cm
We need to calculate the wavelength
Using formula for maximum diffraction
[tex]d\sin\theta=\lambda[/tex]
For maximum, [tex]\sin\thea=1[/tex]
[tex]d=\lambda[/tex]
[tex]\lambda=20 cm=0.2 m[/tex]
We need to calculate the frequency
[tex]f =\dfrac{c}{\lambda}[/tex]
[tex]f=\dfrac{3\times10^{8}}{0.2}[/tex]
[tex]f=1.5\times10^{9}\ Hz[/tex]
[tex]f=1.5 GHz[/tex]
Hence, The smallest microwave frequency is 1.5 GHz.