A laser beam is normally incident on a single slit with width 0.620 mm. A diffraction pattern forms on a screen a distance 1.35 m beyond the slit. The distance between the positions of zero intensity on both sides of the central maximum is 2.18 mm. Calculate the wavelength of the light (in nm).

In a single-slit diffraction the angular positions of bright fringes are given by an equation sin 0 where m 0, ±1, ±2, ... a False True

Monochromatic light of wavelength 441 nm is incident on a narrow slit. On a sereen 2.00 m away, the distance between the second diffraction minima and the central maxima is 1.50 cm. Calculate the angle of diffraction 0 of the second minima and the width of the slit.

You measure three segments of the distance between a diffraction slit an the screen on which the pattern forms: x1 = (15.8 ± 0.2) cm, x2 = (6.7 ± 0.1) cm, and x3 = (11.3 ± 0.1). What is the uncertainty of the total distance x1 + x2 + x3? Group of answer choices 0.4 cm 0.5 cm 0.2 cm 0.3 cm 0.1 cm

If a soap bubble is 120 nm thick, what wavelength is most strongly reflected at the center of the outer surface when illuminated normally by white light? Assume that the index refraction of air is na 1 (the actual value is 1.0003) and the index refraction of soap is ns = 1.35.

The full width at half-maximum (FWHM) of a central diffraction maximum is defined as the angle between the two points in the pattern where the intensity is one-half that at the center of the pattern. (See figure (b).) (a) Does the intensity drop to one-half the maximum value when sin²α = a²/2? (b) Is a = 1.39 rad (about 80°) a solution to the transcendental equation of (a)? (c) Is the FWHM AÐ = 2sin¹(0.442 A/a), where a is the slit width? Calculate the FWHM of the central maximum for slit width (d) 1.17 A, (e) 5.03 A, and (f) 11.7 A. 20 20 Relative intensity 15 10 0.8 0.6 a=2 0.4 0.2 5 05 8 (degrees) (a) 10 15 20 20 Relative intensity 1.0 0.8 0.6 -A0- 0.4 0.2 a= 52 20 15 10 5 0 5 10 15 20 (degrees) (b)

You are asked to design a spectrometer such that, on a screen located a distance of 3.52 m from a diffraction grating, the m = 3 dark fringe for 550 nm light is located at a distance of 5.1 cm from the (m = 0) center of the screen. How many lines per centimeter should your diffraction grating have?