Hydrogen emits violet light with a wavelength of 410 nm and red light with a wavelength of 656 nm.A parallel beam of hydrogen light is normally incident on a diffraction grating that has 5500 lines per cm.What is the angle between the second order red line and the third order violet line that appear close together?
A)3.62 degrees
B)2.58 degrees
C)4.23 degrees
D)5.79 degrees
E)None of these is correct.

Question

Quizplus · Accepted Answer

The angle for each order can be calculated using the diffraction grating formula: d*sin(θ) = m*λ. For the second order red line (m=2, λ=656 nm) and the third order violet line (m=3, λ=410 nm), calculate θ for each and find the difference. The correct angle difference is approximately 3.62 degrees.

Hydrogen Emits Violet Light with a Wavelength of 410 Nm