Answer:
It depends on the light wavelength, the distance of the screen from the grating, and the line spacing in the grating.
(b) is correct option
Explanation:
Given that,
Order number = 1
Angle = 22.0°
We need to calculate the third-order angle
Using formula of distance
[tex]d\sin\theta=n\lambda[/tex]
For first order,
[tex]\sin\theta_{1}=\dfrac{n\lambda}{d}[/tex]
[tex]\theta_{1}=\sin^{-1}\dfrac{1\lambda}{d}[/tex]
Where, d = the distance of the screen from the grating
n = order number
[tex]\lambda[/tex]=wavelength
For second order,
[tex]\theta_{2}=\sin^{-1}\dfrac{2\lambda}{d}[/tex]
For third order,
[tex]\theta_{3}=\sin^{-1}\dfrac{3\lambda}{d}[/tex]
So, It depends on the light wavelength, the distance of the screen from the grating, and the line spacing in the grating.
Hence, This is the required solution.