Question

Yellow light (600 nm) passes

through a diffraction grating. Its first

order (m = 1) maximum occurs at

an angle of 21. 2°. What is the slit

separation d?

[?] x 10-6 m

HELP PLSS!!!

Answer 1

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:

$m\lambda = dSin\theta\\\\d=\frac{m\lambda}{Sin\theta}$

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:

$d=\frac{(1)(6\ x\ 10^{-7}\ m)}{Sin(21.2^o)}$

d = 1.66 x 10⁻⁶ m

Learn more about the grating equation here:

https://brainly.com/question/1812927