Answer:
Wavelength of the light is 750 nm.
Explanation:
Given that,
Spacing between the lines, [tex]d=2000\ nm=2\times 10^{-6}\ m[/tex]
Order of the grating, n = 2
The second order is formed at an angle of 48.5°. The equation of diffraction grating is given by :
[tex]d\ sin\theta=n\lambda[/tex]
[tex]\lambda=\dfrac{d\ sin\theta}{n}[/tex]
[tex]\lambda=\dfrac{2\times 10^{-6}\times sin(48.5)}{2}[/tex]
[tex]\lambda=7.48\times 10^{-7}\ m[/tex]
[tex]\lambda=748\ nm[/tex]
or
[tex]\lambda=750\ nm[/tex]
So, the wavelength of the light is 750 nm. Hence, this is the required solution.
