Consider a pair of slits separated by 1.001.00 micrometers. What is the angle θredθredtheta_red to the interference maximum with m=1m=1 for red light with a wavelength of 700700 nanometers? Express your answer in degrees to three significant figures.

Right formatted question:

Consider a pair of slits separated by 1.00 micrometers. What is the angle to the interference maximum with m=1 for red light with a wavelength of 700 nanometers? Express your answer in degrees to three significant figures.

The angle is 44.43 degrees

Explanation:

This is Young's double slit experiment where a monochromatic light is passed through two small slit with a small distance between them, and the projection obtained on a screen placed at a distance D from the slits is an interference pattern with maximus and minimums distributed on the screen. The equation that describes this phenomenon is:

(1)

with λ the wavelength, θ the angular position of the m interference maximum, d the distance between the slits and m the number of the interference maximum. Solving (1) for θ for red light:

answer: 2×10^-2kg

explanation: density= mass per volume

vol=mass/density

converting to s.i units we have;

3÷1000kg = 0.003

1.5÷100m = 0.15

0.003/0.15 = 0.02kg