Answer:
1) θ = 45.91°
2) θ = 21.04°
Explanation:
We are given;
Wavelength; λ = 665 nm = 6.65 × 10^(-7) m.
Distance between slits; d = 1mm/270 = 1/270 mm = (1/270) × 10^(-3) m
1) To find the angle, we will use the formula;
d sin θ = mλ
Where m is the order of peak which in this question is 4.
Thus, we have;
sin θ = mλ/d
sin θ = (4 × 6.65 × 10^(-7))/((1/270) × 10^(-3))
sin θ = 0.7183
θ = sin^(-1) 0.7183
θ = 45.91°
2) Similarly, d sin θ = mλ
Where m is the order of peak which in this question is 2. Thus;
sin θ = (2 × 6.65 × 10^(-7))/((1/270) × 10^(-3))
sin θ = 0.3591
θ = sin^(-1) 0.3591
θ = 21.04°
