14. GP Monochromatic light of wavelength A is incident on a pair of slits separated by 2.40 × 10-4 m, and forms an interference pattern on a screen placed 1.80 m away from the slits. The first-order bright fringe is 4.52 mm from the center of the central maximum. (a) Draw a picture, labeling the angle 0 and the legs of the right triangle associated with the first-order bright fringe. (b) Compute the tangent of the angle 0 associated with the first-order bright fringe. (c) Find the angle corre- sponding to the first-order bright fringe and compute the sine of that angle. Are the sine and tangent of the angle comparable in value? Does your answer always hold true? (d) Calculate the wavelength of the light. (e) Compute the angle of the fifth-order bright fringe. (f) Find its position on the screen.

1)A red low-power laser with λ = 634nm was beamedat a double-slit grating. An interference patternappeared on a screen 2.50 m from the grating. Thedistance from central spot to the next bright spotwas 22.5cm.What is the spacing between the slits in the grating? 2. The red laser (in Q1) is replaced by a blue laserwith a shorter wavelength. All else is the same.Show mathematically whether the interferencepattern it produces will place the bright spots closeror further apart. 3.Given that the blue laser in Q2 has a wavelength of445 nm, calculate the “spot-spacing” for the sameslit grating and screen distance as in Q1. 4.A green laser beam produces spots which are0.334m apart (central to m=1) when a grating is usedwith slits 3,000 nm apart and a screen 1.90m away.What is the wavelength of the laser light?

A 518.0-nm light source illuminates two slits with a separation of 6.00 x 10-4 m, forming an interference pattern on a screen placed 3.80 m away from the slits. At a point a distance of 3.60 mm from the central maximum, what are the following? (a) the phase difference between the two waves originating at the slits (Give your answer to at least three significant figures.) rad (b) the intensity compared to that of the central maximum Imax

8. Coherent light of wavelength 501.5 nm is sent through two GP parallel slits in an opaque material. Each slit is 0.700 um wide. Their centers are 2.80 um apart. The light then falls on a semicylindrical screen, with its axis at the midline between the slits. We would like to describe the appearance of the pattern of light visible on the screen. (a) Find the direction for each two-slit interference maximum on the screen as an angle away from the bisector of the line joining the slits. (b) How many angles are there that represent two-slit inter- ference maxima? (c) Find the direction for each single-slit interference minimum on the screen as an angle away from the bisector of the line joining the slits. (d) How many angles are there that represent single-slit interference minima? (e) How many of the angles in part (d) are identical to those in part (a)? (f) How many bright fringes are visible on the screen? (g) If the intensity of the central fringe is Imas what is the intensity of the…