Two slits spaced 0.0720 mm apart are 0.800 m from a screen.Coherent light of wavelength l passes through the two slits. In their interferencepattern on the screen, the distance from the center of the central maximumto the first minimum is 3.00 mm. If the intensity at the peak of the centralmaximum is 0.0600 W/m2, what is the intensity at points on the screen thatare (a) 2.00 mm and (b) 1.50 mm from the center of the central maximum?

SS-1 Coherent light of wavelength 675 nm passes through a narrow slit of width 0.0143 mm. The diffraction pattern is projected onto a viewing screen 1.08 m away from the slit. The intensity of the light at the center of the diffraction pattern is 175 W/m². (a) Draw a picture of the of situation descried in this problem. (b) Find the width of the central bright spot on the screen, in centimeters (cm). (c) Find the distance between the center of the diffraction pattern and the m = 4 minimum on the screen, in cm. (d) What is the intensity at a point on the screen 13.5 cm from the central maximum?

Problem 2: Consider a 470 nm wavelength blue light falling on a pair of slits separated by 0.045 mm. At what angle (in degrees) is the first-order maximum for the blue light? 0 = || sin() cos() cotan() asin() atan() acotan() cosh() tanh() O Degrees O Radians tan() acos() sinh() cotanh() ED π () 7 E ^^ 4 5 6 8 9 HOME + 1 2 VO BACKSPACE 63 DEL END CLEAR

Monochromatic light is incident on a pair of slits that are separated by 0.210 mm. The screen is 2.60 m away from the slits. (Assume the small-angle approximation is valid here.) (a) If the distance between the central bright fringe and either of the adjacent bright fringes is 1.52 cm, find the wavelength of the incident light. m (b) At what angle does the next set of bright fringes appear?

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)

Monochromatic coherent light of amplitude E, and angular frequency w passes through three parallel slits, each sepa- rated by a distance d from its neighbor. (a) Show that the time-averaged intensity as a function of the angle 0 is I(0) = I (2nd sin e 1+ 2 cos max (b) Explain how this expression describes both the primary and the secondary maxima. (c) Determine the ratio of the intensities of the primary and secondary maxima. Hint: See Problem 16.

Nearly monochromatic coherent light waves leave two rectangularslits in phase and at an angle of u = 22.0 with the normal. Whenthe light reaches a distant screen, the waves from the center of one slitare 344 out of phase with the waves from the center of the other slit, andthe waves from the top of either slit are 172 out of phase with the wavesfrom the bottom of that slit. (a) How is the center-to-center distance betweenthe slits related to the width of either slit? (b) Calculate the intensityat the screen for u = 22.0 if the intensity at u = 0 is 0.234 W/m2.