Respuesta :
Answer : The color of light is red.
Explanation :
Given that,
Numbers of lines in a diffraction grating, n = 175 lines per mm
The grating equation for the bright band is given by :
d sinФ = n λ
Where,
d is the distance between the slits
Ф is the angle to maxima
n is the order, n = 2
λ is the wavelength of the light.
Since, d = 1/N
N is the numbers of lines
So, [tex]\dfrac{1}{N}sin\phi=n\lambda[/tex]
[tex]\lambda=\dfrac{sin\phi}{Nn}[/tex]
converting mm to m
[tex]\lambda=\dfrac{sin (13.5)}{175000\ m\times 2}[/tex]
λ = 6.66 × 10⁻⁷ m
or
λ = 667 nm
This shows the wavelength of red light. So, the color of light emitted will be red.
Hence, this is the required solution.
