The wavelength for radio waves with frequency 3 × 10^9 is (c) 1 × 10^-1 m
The inverse variation is given as:
[tex]y = \frac{3 \times 10^8}{x}[/tex]
Where x and y represent the wavelength, and the frequency respectively.
When the frequency is 3 * 10^9, the equation becomes
[tex]3 \times 10^9= \frac{3 \times 10^8}{x}[/tex]
Multiply both sides by x
[tex]3x \times 10^9= 3 \times 10^8[/tex]
Divide both sides by 3 * 10^9
[tex]x= \frac{3 \times 10^8}{3 \times 10^9}[/tex]
Divide 3 by 3
[tex]x = \frac{1 \times 10^8}{10^9}[/tex]
Apply law of indices
[tex]x = 1 \times 10^{8-9}[/tex]
Simplify the exponent
[tex]x = 1 \times 10^{-1}[/tex]
Hence, the wavelength is (c) 1 × 10^-1 m
Read more about variations at:
https://brainly.com/question/2903172
