Answer:
First option: 1*10^(-10) m
Step-by-step explanation:
y=3*10^8/x
Wavelength (in meters): x=?
Frequency: y=3*10^18
Replacing y by 3*10^18 in the equation:
3*10^18=3*10^8/x
Solving for x: Cross multiplication:
3*10^18*x=3*10^8
Dividing both sides of the equation by 3*10^18:
3*10^18*x/(3*10^18)=3*10^8/(3*10^18)
Simplifying:
x=10^8/10^18
x=10^(8-18)
x=10^(-10)
x=1*10^(-10) m
Answer:
[tex]1*10^{-10} m[/tex]
Step-by-step explanation:
The inverse variation equation shows the relationship between wavelength in meters, x, and frequency, y.
[tex]y=\frac{3*10^8}{x}[/tex]
x is the wavelength and y is the frequency
we are given with frequency 3*10^18
we plug in 3*10^18 for y
[tex]3*10^{18}=\frac{3*10^8}{x}[/tex]
cross multiply it
[tex]3*10^{18}* x= 3*10^8[/tex]
divide by 3*x10^18 on both sides
[tex]x=\frac{3*10^8}{3*10^{18}}[/tex]
[tex]x=\frac{1}{10^{10}}[/tex]
or x= 1*10^-10 m
