Answer :
This question involves the concept of the grating equation.
The slit separation is "1.66 x 10⁻⁶ m".
Grating Equation
The grating equation is used to derive a relationship between the wavelength of the light falling on the grating and the slit separation for a given order and angle of diffraction. Mathematically, the grating equation is written as follows:
[tex]m\lambda = dSin\theta\\\\d=\frac{m\lambda}{Sin\theta}[/tex]
where,
- d = slit separation = ?
- m = order = 1
- λ = wavelength of the yellow light = 600 nm = 6 x 10⁻⁷ m
- θ = angle of diffraction = 21.2°
Therefore, using the given values in the formula, we get:
[tex]d=\frac{(1)(6\ x\ 10^{-7}\ m)}{Sin(21.2^o)}\\\\[/tex]
d = 1.66 x 10⁻⁶ m
Learn more about the grating equation here:
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