Laser light at 600 nm falls on a double-slit apparatus with slit separation 6 μm. Find the separation between the following fringes as seen on a screen 1 m from the slits. (a) The first and second bright fringes. (b) The third and fourth bright fringes.

Light of wavelength 530 nm passes through a slit of width 0.170 mm. (a) The width of the central maximum on a screen is 8.20 mm. How far is the screen from the slit? (b) Determine the width of the first bright fringe to the side of the central maximum. mm

The intensity in the interference pattern of N 2 sin(No/2) identical slits is given by I = Io sin(ø/2) Find the maximum intensity (Imax) in the pattern. Expressed in N and I,

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

532 nm coherent green light is incident on a double slit. The dif 85 cm away from the slits has a first order maxima 3.5 cm from a. How far apart are the two slits?

In a double-slit experiment that uses monochromatic light, the angular separation between the central maximum and the third-order bright fringe is 0.2°. What is the wavelength of light if the distance between slits is 0.50 mm?

Light from a laser with a wavelength of 760 nm is directed at a diffraction grating of 1500 lines/cm. If the diffraction grating is located 1.5 m from the screen, calculate the distance between adjacent bright fringes. 51. Lenses often contain thin coatings to reduce reflections and UV radiation. Explain how this works.

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.

Question 2: The third order bright fringe of 610 nm light is observed at an angle of 28° when the light falls on two narrow slits. How far apart are the slits? Question 3: Light falls on two very narrow slits 0.68 mm apart. Successive fringes on a screen 6 m aware are 8.5 cm apart near the center of the pattern. Determine the wavelength and frequency of the light.

A sodium gas-discharge lamp emits a visible "doublet" of two spectral emission lines, one at 589.0nm and the other at 589.6nm. (a) How many slits/cm are required for a transmission diffraction grating that is 2.5 cm wide to distinctly resolve these two lines at first order (m=1) ? (b) At second order (m=2) ?