Question

The spacing of slits in the grafting is (1.15 × 10⁻⁶)m. The angle between the first-order diftion maxima is 60.0°. What is the wavelength?

a. (5.75 × 10⁻⁷) m
b. (6.63 × 10⁻⁷) m
c. (7.21 × 10⁻⁷) m
d. (8.12 × 10⁻⁷) m

Answer 1

The wavelength is (5.75 × 10⁻⁷) m.

Step-by-step explanation:

The spacing of slits in the grafting is 1.15 × 10⁻⁶ m. The angle between the first-order diffraction maxima is 60.0°. We can use the equation d sinθ = mλ, where d is the spacing of slits, θ is the angle, m is the order, and λ is the wavelength.

Since we are given the spacing of slits, angle, and we want to find the wavelength, we rearrange the equation to solve for λ: λ = (d sinθ) / m.

Plugging in the given values, λ = (1.15 × 10⁻⁶ m)(sin 60°) / 1 = 5.75 × 10⁻⁷ m.