A double-slit experiment is set up as shown in the following figure. Light from

Question

A double-slit experiment is set up as shown in the following figure. Light from a laser illuminates a pair of slits etched in an opaque barrier. The spacing between the slits is 10-4 m; the distance from the barrier containing the slits to a viewing screen is 2 m. Because of diffraction, a pattern of light and dark spots is seen on the viewing screen. The distance from the central bright spot to the first bright spots on either side is 10-2 m. What is the wavelength of the laser light illuminating the pair of slits? 2.00 times 10-6 nm 107 nm 1.22 times 105 nm 500 nm 610 nm If the wavelength of the laser light is increased by 50%, the spacing between the bright spots on the viewing screen will increase by 100% increase by 50% remain unchanged decrease by 50% decrease by 100% A 1.0-cm-tall object is 10 cm in front of a converging lens that has a 30 cm focal length. Where is the image located and what is the image height? What is the critical angle for total internal reflection for light traveling from water (n=1.33) into diamond (2.42). What is the critical angle for light traveling from diamond (n=2.42) into air (n=1.00).

Explanation / Answer

A)
x = Lamda*D/d......
lamda = x*d/D = 10^-2*10^-4/2 = 500 nm...so correct option is d) 500 nm...

B) increase by 50%....so correct option is B) increase by 50%...

12) (1/v) = (1/f)+(1/u)...
v = (u*f)/(u+f) = 10*30/(10+30) = 7.5 cm....
-v/u = h'/h...

h' =(-v/u)*h = (7.5/10)*1 = 0.075 cm

13) theta = sin^-1(nw/nd) = sin^-1(1.33/2.42) = 33.33 degrees..

13B) theta = sin^-1(na/nd) = sin^-1(1/2.42) = 24.4 degrees..

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