Light of wavelength 585.5 nm illuminates a slit of width 0.70 mm. (a) At what distance from the slit should a screen be placed if the first minimum in the diffraction pattern is to be 0.93 mm from the central maximum? Answer in m (b) Calculate the width of the central maximum. Answer in mm

A red laser (λ = 656 nm) is incident on a diffraction grating that has n = 1100 lines per cm.Randomized Variablesλ = 656 nmn = 1100 lines/cm  Part (a)  What is the angle, in radians, that the first order maximum makes, θ1?   Part (b)  What is the angle of the fourth order maximum, θ4, in radians?

632.8 nm) is used to calibrate a diffraction grating. If the first-order maximum occurs at 21.0°, what is the spacing between adjacent grooves in the grating? (In this problem, assume that the light is incident normally on the grating.) μm A helium-neon laser (1 =

Light of wavelength 588.2 nm illuminates a slit of width 0.63 mm. (a) At what distance from the slit should a screen be placed if the first minimum in the diffraction pattern is to be 0.86 mm from the central maximum? (b) Calculate the width of the central maximum. Step 1 (a) As shown in the figure, dark bands or minima occur where sin 0 = m(2/a). For the first minimum, m = 1 and the distance from the center of the central maximum to the first minimum is y₁ = L tan 8, where L is the distance of the viewing screen from the slit. 32 sin dark = 22/a 31 sin dark = λ/a HE 0 -1 sin dark = -λ/a -2 sin dark = -22/a Viewing screen a Because is very small, we can use the approximation tan sin 0 = m(2/a). Substituting the approximation and solving for the distance to the screen, we have 6.3 x 10 m ³ m ) (₁ L = = y ₁ ( ² ) = x 10-3 m x 10-⁹ m m.

Coherent microwave light with a frequency f= 2.0*1010 Hz is incident on a d=5.0 cm double slit barrier, producing an interference pattern of a number of maxima and minima. A detector is free to swing around the full 180 degrees in order to find the presence of intereference maxima and minima. How many different minima will this detector detect, as it is allowed to swing around the full 180 degrees? Include minima on both sides of the centerkine in your count.

Coherent electromagnetic waves with wavelength l = 500 nm pass through two identical slits. The width of each slit is a, and the distance between the centers of the slits is d = 9.00 mm. (a) What is the smallest possible width a of the slits if the m = 3 maximum in the interference pattern is not present? (b) What is the next larger value of the slit width for which the m = 3 maximum is absent?

An X-ray beam of wavelength 3.4 × 10-10 m makes an angle of 27° with a set of planes in a crystal which results in first order constructive interference. Determine the plane spacing in nanometers. (Please include 2 decimal places).

In two-slit interference, if the slit separation is 14 mm and the slit widths are each 2.0 mm, (a) how many two-slit maxima are in the central peak of the diffraction envelope and (b) how many are in either of the first side peak of the diffraction envelope?

Fringes in the Thomas Young experiment are produced using sodium light of wavelength 670 nm and two slits which are 1.2 mm apart. If the fringes are formed on a screen 0.8 m away from the slits, how far is the third order bright fringe from the middle of the screen? Give your answer in millimeters (mm).

In a diffraction experiment the 1st order light (m = 1) from a diffraction grating  is falling onto a single slit (see picture below). The light from the slit is then observed on a second screen and the measured width of the central diffraction peak is found to be 8 mm. Calculate the number of lines per millimetres of the grating. The distance from the slit to the second screen is 1.37 m, the distance from the diffraction grating to the screen with the slit is 5 m, the slit width is 0.25 mm and the distance from the middle of the screen with the slit to the slit is 10 mm..