A physics professor wants to perform a lecture demonstration of Young\'s double-

Question

A physics professor wants to perform a lecture demonstration of Young's double-slit experiment for her class using the 633-nm light from a He -Ne laser. Because the lecture hall is very large, the interference pattern will be projected on a wall that is 4.0 m from the slits. For easy viewing by all students in the class, the professor wants the distance between the m = 0 and m = 1 maxima to be 25 cm . What slit separation is required in order to produce the desired interference pattern?

Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

here,

wavelength of light , lamda = 633 * 10^-9 m

distance of screen , D = 4 m

let the slit width be d

y = lamda * D/ d

0.25 = 6.33 * 10^-9 * 4 /d

d = 1.01 * 10^-7 m

the slit separation is required in order to produce the desired interference pattern is 1.01 * 10^-7 m

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