Answer : The color and wavelength of light is red and [tex]6.9\times 10^{-7}m[/tex] respectively.
Explanation :
Given:
Energy = [tex]2.88\times 10^{-18}J[/tex]
Now we have to determine the wavelength of light.
Formula used:
[tex]E=\frac{hc}{\lambda}[/tex]
where,
E = energy
h = Planck's constant = [tex]6.626\times 10^{-34}J.s[/tex]
c = speed of light = [tex]3\times 10^8m/s[/tex]
[tex]\lambda[/tex] = wavelength of light
Now putting all the given values in this formula, we get:
[tex]2.88\times 10^{-18}J=\frac{(6.626\times 10^{-34}J.s)\times (3\times 10^8m/s)}{\lambda}[/tex]
[tex]\lambda=6.9\times 10^{-7}m[/tex]
From the electromagnetic spectrum we conclude that the color of the light will be red of wavelength [tex]6.9\times 10^{-7}m[/tex].
Therefore, the color and wavelength of light is red and [tex]6.9\times 10^{-7}m[/tex] respectively.
