2001)par 5. In a double-slit interference experiment, the two slits are spaced 0

Question

2001)par 5. In a double-slit interference experiment, the two slits are spaced 0.1 mm apart. If green light with a wavelength of 500 nm is used, the spacing between the adjacent bright interference fringes on the screen is 1 cm. How far is the screen from the slits? a) 0.5 m b) 1 m c) 2 m d) 10 m e) 15 m 6. A clear optical window made out of plastic (n 1.4) is coated with a hard antiscratch coating having n 1.8. What should be the smallest thickness of this coating to maximize the amount of light reflected in the green part of the spectrum (for A 500 nm in air)? a) 69 nm b) 89 nm c) 125 nm d) 139 nm e) 250 nm 7. Which of the following is NOT true for a converging lens in optics? a) A ray parallel to the optic axis passes through the focus on the far image side of the lens. b) A ray through the center of the lens is bent parallel to the optic axis e) A ray originating at the focus is bent parallel to the optic axis. d) An object placed at the focus has an image at infinity. e) An object at infinity has an image at the focus

Explanation / Answer

here,

the spacing between the slits , d = 1 * 10^-4 m

wavelength , lamda = 5 * 10^-7 m

let the screen distance be D

the spacing between the adjacent fringes , y = lamda * D/d

0.01 = 5 * 10^-7 * D/(1 * 10^-4)

D = 2 m

the screen distance is c) 2 m

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