Answer: X-rays are found in the given region.
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]2.998\times 10^8m/s[/tex]
[tex]\nu[/tex] = frequency of light = [tex]3\times 10^{19}s^{-1}[/tex]
From above, we know that frequency is inversely related to wavelength of light. Thus, the region having frequency more than the given one will have wavelength less than the calculated one.
Putting the values in above equation, we get:
[tex]\lambda=\frac{2.998\times 10^8m/s}{3\times 10^{19}s^{-1}}=9.99\times 10^{-12}m=9.99\times 10^{-3}nm[/tex]
(Conversion factor: [tex]1m=10^9nm[/tex] )
The region where wavelength is less than [tex]9.99\times 10^{-3}nm[/tex] is X-rays.
Hence, X-rays are found in the given region.
