Question

In: Physics

Monochromatic light of intensity I0=24.0 W/m2 is shone through two slits a distance d=2.2mm apart. A...

Monochromatic light of intensity I0=24.0 W/m2 is shone through two slits a distance d=2.2mm apart. A screen a distance L=1.0m away from the slits shows the resulting interference pattern.

If at y=8.3cm from the center of the screen the intensity I=10.2W/m2, what is the wavelength of the light λ (in μm)?

Solutions

Expert Solution

The intensity formula can be written as I = Io cos2[dy/L]
where Io is the maximum intensity on the screen, Io = 4I, where Iinc is the intensity of the incident light.
Given that d = 2.2 x 10-3 m
y = 8.3 x 10-2 m, L = 1 m

cos2[dy/L] = I/Io
= 10.2/(4 x 24) = 0.10625
Taking square root on both the sides,
cos[dy/L] = 0.326
[dy/L] = cos-1(0.326) = 1.239             [Angles are in radians]
= [ x (2.2 x 10-3) x (8.3 x 10-2)] / [1.239 x 1]
= 463.08 x 10-6 m


Related Solutions

9) Monochromatic coherent light shines through a pair of slits. If the distance between these slits...
9) Monochromatic coherent light shines through a pair of slits. If the distance between these slits is decreased, which of the following statements are true of the resulting interference pattern? (There could be more than one correct choice.) A) The distance between the maxima stays the same. B) The distance between the maxima decreases. C) The distance between the minima stays the same. D) The distance between the minima increases. E) The distance between the maxima increases.
A horizontal beam of vertically polarized light of intensity 42.0 W/m2 is sent through two polarizing...
A horizontal beam of vertically polarized light of intensity 42.0 W/m2 is sent through two polarizing sheets. The polarizing direction of the first is at 26.0° to the vertical, and that of the second is horizontal. What is the intensity of the light transmitted by the pair of sheets?
A horizontal beam of vertically polarized light of intensity 33.0 W/m2 is sent through two polarizing...
A horizontal beam of vertically polarized light of intensity 33.0 W/m2 is sent through two polarizing sheets. The polarizing direction of the first is at 37.0° to the vertical, and that of the second is horizontal. What is the intensity of the light transmitted by the pair of sheets? W/m2
In the Figure, a beam of light, with intensity 43 W/m2 and polarization parallel to a...
In the Figure, a beam of light, with intensity 43 W/m2 and polarization parallel to a y axis, is sent into a system of two polarizing sheets with polarizing directions at angles of θ1 = 70o and θ2 = 90o to the y axis. What is the intensity of the light transmitted by the two-sheet system?
A particular beam of light, with an intensity of 440 W/m2, is linearly polarized at an...
A particular beam of light, with an intensity of 440 W/m2, is linearly polarized at an angle of +5.00° to the vertical. You have three polarizers, which have their transmission axes aligned as follows: Polarizer A - the transmission axis is at +19.0° to the vertical; Polarizer B - the transmission axis is at +72.0° to the vertical; Polarizer C - the transmission axis is at +25.0° to the vertical. You will select two of these polarizers, and have the...
Vertically polarized light that has an intensity of 450 W/m2 isincident on two polarizing filters....
Vertically polarized light that has an intensity of 450 W/m2 is incident on two polarizing filters. The first filter is oriented 30° from the vertical while the second filter is oriented 75° from the vertical. Predict the intensity and polarization of the light that emerges from the second filter. (Assume both angles are measured in the same direction with respect to the vertical.) _________W/m2 Please help! Thanks!
A. If you have completely polarized light of intensity 196 W/m2, what will its intensity be...
A. If you have completely polarized light of intensity 196 W/m2, what will its intensity be after passing through a polarizing filter with its axis at an 65.1º angle to the light’s polarization direction? B. Find the largest wavelength in nanometers of light falling on double slits separated by 1.77 μm for which there is a second-order maximum. C. The headlights of a car are 1 m apart. What is the maximum distance in kilometers at which the eye can...
If 735-nm and 620-nm light passes through two slits 0.78 mm apart, how far apart are...
If 735-nm and 620-nm light passes through two slits 0.78 mm apart, how far apart are the second-order fringes for these two wavelengths on a screen 1.0 m away? Express your answer to two significant figures and include the appropriate units. Δx =   
Laser light is polarized and has an intensity of 10 W/m2. A polarizer is placed in...
Laser light is polarized and has an intensity of 10 W/m2. A polarizer is placed in the path of the laser. The intensity is measured again at 5 W/m2. What is the angle of the polarizer with respect to the initial polarization? A. 15 deg B. 20 deg C. 30 deg D. 45 deg
Light of original intensity I0 passes through two ideal polarizing filters having their polarizing axes oriented...
Light of original intensity I0 passes through two ideal polarizing filters having their polarizing axes oriented as shown in the figure (Figure 1). You want to adjust the angle ϕ so that the intensity at point P is equal to I0/8.00. A.)If the original light is unpolarized, what should ϕbe? B.)If the original light is linearly polarized in the same direction as the polarizing axis of the first polarizer the light reaches, what should ϕ be?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT