In the two-slit interference experiment of the figure, the slit widths are each 13.7 μm, their separation is 27.4 μm, the wavelength is 622 nm, and the viewing screen is at a distance of 4.30 m. Let IP represent the intensity at point P on the screen, at height y = 71.2 cm. (a) What is the ratio of IP to the intensity Im at the center of the pattern? Determine where P is in the two-slit interference pattern by giving the order number of the (b) maximum and (c) minimum between which it lies. Next, for the diffraction that occurs, determine where point P is in the diffraction pattern by giving the order number of the (d) minimum and (e) next minimum (larger) between which it lies.
we know that in two slit experiment Intensity at a point is
I = 4Io cos2/2 where = 0, 2,4...... for bright fringe
= ,,3,...... for dark fringe
a) so Ip/I0 = 4
now here for poin p we use
Xn= nD /d
Xn= n*4.30*622 nm.m)/27.4 um
Xn= n*9.76 cm
max. and min. value of n in which P lie
b) nmin=7 x7= 7*9.76 cm =68.3 cm
c) nmax=8 X8 = 8*9.76 cm = 78.09 cm
d) for fraunhofer diffraction
Xn= mD /d
Xn=( n*4.30*622 nm.m)/13.7 um
Xn= n*19.52 cm
mmin=3 X3= 3* 19.52 = 58.56cm
e) mmin2= 4 X4= 4*19.52=78.08cm
In the two-slit interference experiment of the figure, the slit widths are each 13.7 μm, their...
In the double-slit experiment of the figure, the viewing screen is at distance D = 4.92 m, point P lies at distance y = 20.9 cm from the center of the pattern, the slit separation d is 5.30 μm' and the wavelength λ is 591 nm. what is the ratio of the intensity Ip at point P to the intensity Icen at the center of the pattern? Incident wave Y2 (a)B
In the double-slit experiment of the figure, the viewing screen is at distance D = 4.77 m, point P lies at distance y = 20.8 cm from the center of the pattern, the slit separation d is 4.51 μm, and the wavelength λ is 654 nm. What is the ratio of the intensity IP at point P to the intensity Icen at the center of the pattern? Incident wave '2 Path length difference Δ.
For a particular double-slit experiment, the slit separation is 4.50 μm, the screen is located 4.00 m from the slits, and the wavelength of the light illuminating the slits is 580 nm (yellow). You have a detector located on the screen at a distance of 20.5 cm from the center of the interference pattern. (a) Where in the pattern is this point located – at a minimum, maximum or in-between? Give the m values associated with this position (e.g. at...
64 In the double-slit experiment of Fig. 35-10, the electric fields of the waves arriving at point P are given by E (3.50 pV/m) sin[(1.26 x 1015)t E2 (3.50 V/m) sin[(1.26 X 1015)t 21.5 rad], where time t is in seconds. (a) What is the amplitude of the resultant electric field at point P (b) What is the ratio of the intensity Ip at point P to the intensity Ieen at the center of the inter- ference pattern? (c) Describe...
A single-slit diffraction experiment is set up with light of wavelength 510 nm, incident perpendicularly on a slit of width 5.37 μm. The viewing screen is 3.56 m distant. On the screen, what is the distance between the center of the diffraction pattern and the second diffraction minimum?
In a double‑slit interference experiment, the wavelength is ?=622, the slit separation is ?=0.160 mm, and the screen is ?=27.0 cm away from the slits. What is the linear distance Δx between the ninth order maximum and the third order maximum on the screen? Δ?= __mm
A double sit produces a diffraction pattern that is a combination of single- and double-slit interference. Find the ratio of the width of the slits to the separation between them, if the first minimum of the single-slit pattern falls on the fifth maximum of the double-slit pattern.(This will greatly reduce the intensity of the fifth maximum.) Select the correct answer 0.100 0.0400.200 0.500 0.250
4) Interference and Diffraction Phenomena (10 points) (a) In a single slit diffraction experiment with a screen far away from the slit, with waves of wavelength 1, there will be no intensity minima if the slit becomes too small compared to the wavelength. What is the minimum slit width (in terms of ) for which no intensity minimum occurs? (Note: if there is no minimum, the screen looks essentially fully illuminated. Think what condition that puts on the angle of...
In a double-slit interference experiment the slit separation is 8.40 x 10-6 m and the slits are 2.80 m from the screen. Each slit has a width of 1.20 x 10-6 m. a) An interference pattern is formed when light with a wavelength of 450 nm is shined on the slits. How far (in meters) from the center of the interference pattern on the screen do the third order (m = 3) bright fringes occur? (1.5 pts) b) If a...
Light of wavelength 1 μ¡n is nornally incident upon three slits of width a 10 μm and separation distance d =0,5 mln. The interference pattern is then viewed from a screen a distance L=2m away. Let y be a coordinate measuring along the screen from the contral maximum at y-0. (a) At what value along the positive p-sxis would you find the first single-slit diffraction minimum? (b) At what value along the positive y-axis would you find the third three-slit...