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1.two flat pieces of glass(n=1.51)are separated by a 0.005 cm thick wire as show

ID: 2109583 • Letter: 1

Question

1.two flat pieces of glass(n=1.51)are separated by a 0.005 cm thick wire as shown. the entire system is submerged in oil with n=1.31 and irradiated with yellow light lamda= 580nm. the number of dark fringes observed is?

2.what is the highest order maximum that can be obseved when light of wavelength 590nm is normally incident of a diffraction grating with 500 lines per mm?

3. If diffraction effects where the only limitation , what would be the minimum distance between two objects on the surface of moon for a camera with lens of focal length 200cm and diameter cm to resolve the object? Assume lamda=550 and the moon is 3.8*10^5km

Explanation / Answer

1.the number of dark fringes is

n = (d/lamda)

where d = 0.005 cm = 0.005 * 10^-2 m and lamda = 580 nm = 580 * 10^-9 m

2.the highest order maximum is

N = (lamda/n)

where lamda = 590 nm = 590 * 10^-9 m and n = 500 lines/mm = 500 * 10^3 lines/m

3.the focal length of camera lens is

f = 200 cm = 200 * 10^-2 m

wavelength of light is

lamda = 550 nm = 550 * 10^-9 m

radius of moon is r = 3.8 * 10^5 km = 3.8 * 10^5 * 10^3 m

the fringe width is

B = (lamda * r/f)