physics diffraction 2.0

Question

A diffraction grating with line spacing of 2592 lines per cm creates its first bright spot 8.0 degrees from the central bright spot. Find the wavelength of the line illuminating the diffraction grating.

Answer 1

 

Use

 

nλ = d sinθ

 

λ = d sinθ / n

 

d = line spacing = (1 cm) / 2592 = 3.858 x 10^-4 cm

 

θ = 8.0°

 

n = 1 (i.e. first bright spot from the central bright spot)

 

Just plug the values into 

 

λ = d sinθ / n.

 

Can you finish from here?