Question

The inverse variation equation shows the relationship between wavelength in meters, x, and frequency, y. y=3 x10^8/x what are the wavelengths for X-rays within frequency 3 x 10^18

Answer 1

`1*10^(-10) m`

Explanation:

The inverse variation equation shows the relationship between wavelength in meters, x, and frequency, y.

`y=(3*10^8)/(x)`

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

`3*10^(18)=(3*10^8)/(x)`

cross multiply it

`3*10^(18)* x= 3*10^8`

divide by 3*x10^18 on both sides

`x=(3*10^8)/(3*10^(18))`

`x=(1)/(10^(10))`

or x= 1*10^-10 m

Answer 2

First option: 1*10^(-10) m

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