Two slits separated by 1.0 mm are illuminated with light of a single unknown wavelength.The tenth bright line from the central point of the interference pattern is observed to be at an angle of 0.34º.What is the wavelength of the light?
A)620 nm
B)590 nm
C)560 nm
D)450 nm
E)600 nm

Question

Quizplus · Accepted Answer

We can use the formula for the position of the bright fringes:

y = (mλL) / d

where y is the distance from the central maximum to the mth bright fringe, λ is the wavelength of light, L is the distance from the slits to the screen, and d is the distance between the slits.

In this case, we are given that m = 10, y = tan(0.34º) * L, d = 0.001 m, and we want to solve for λ.

Rearranging the formula, we get:

λ = (yd) / (mL)

Plugging in the values, we get:

λ = (tan(0.34º) * L * 0.001 m) / (10 * L) = 5.9 x 10^-7 m = 590 nm

Therefore, the wavelength of the light is 590 nm, which corresponds to choice B.

Two Slits Separated by 1