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

y = StartFraction 3 x 10 Superscript 8 Baseline Over x EndFraction

What are the wavelengths for X-rays with frequency 3 × 1018?
1 × 10–10 m
3 × 10–10 m
3 × 1026 m
9 × 1026 m

Respuesta :

Answer: The wavelength for X-rays with the given frequency is [tex]1\times 10^{-10}m[/tex]

Step-by-step explanation:

To calculate the wavelength of light, we use the equation:

[tex]\lambda=\frac{c}{\nu}[/tex]

where,

[tex]\lambda[/tex] = wavelength of the light  

c = speed of light = [tex]3\times 10^8m/s[/tex]

[tex]\nu[/tex] = frequency of light = [tex]3\times 10^{18}s^{-1}[/tex]

Putting the values in above equation, we get:

[tex]\lambda=\frac{3\times 10^8m/s}{3\times 10^{19}s^{-1}}=1\times 10^{-10}m[/tex]

Hence, the wavelength for X-rays with the given frequency is [tex]1\times 10^{-10}m[/tex]

Answer:

1 x 10 ^-10 m

Step-by-step explanation: