Answer:
Two narrow slits, 70 micrometers apart, are illuminated with light of wavelength 640 nanometers. This phenomenon is known as Young's Double Slit Experiment, which is used to measure the interference pattern of light and other electromagnetic radiation.
Step-by-step explanation:
The angle of the third bright fringe (m=3) in radians can be calculated using the equation θ = mλ/d, where θ is the angle, m is the order of the fringe, λ is the wavelength of the light, and d is the distance between the two slits. In this case, θ = 3(6.4 x 10⁻⁷)/7 x 10⁻⁵ = 0.224 radians. This answer should be rounded to two significant figures, which would be 0.22 radians.
The angle in degrees can also be calculated using the equation θ = mλ/d. In this case, θ = 3(6.4 x 10⁻⁷)/7 x 10⁻⁵ x (180/π) = 12.8°. This answer should be rounded to two significant figures, which would be 13°.
In conclusion, the angle of the m = 3 bright fringe in radians is 0.22 radians and the angle in degrees is 13°.
I hope I helped, have a good day!