Question

Course Blou 105: Di x missing micobes rUntiles document x Onelogin ka The Expert TAI Hum비 A Browse fonts in the Dui Physics question /Che x Class l Help HW 10 Interference and Diffraction Begin Date: 4/29/2019 12:01:00 AM-Due Date: 5/8/2019 11:59:00 PM End Date: 5/22/2019 11:59:00 PM (0%) Problem 2: Light of wavelength-590 nm is incident upon two thin slits that are separated by a distance d-15 yum. The light hits a screen L - 1.9 m from the screen. It is observed that at a point y - 2.7 m from the central maximum the intensity of the light is I - 85 Wm2 Assignment Status Click here for detailed view Problem Status 33% Part (a) Write an equation for the phase shift between the light from the two slits at the observation point in terms of the given variables. Grade Summary 100% 7 89 Submisslons Attempts remaining: S (600 per attempt) detalled view vO 10 Hint Hints: 1 % deductiotiper lint. Hills Feedback: 0% deduction per feedback. 33% Part (b) For the given data, what is the phase shift. in radians, between the light from the two slits at the observation point? 33% Part (c) What is the intensity of the light at the two slits (10) in watts per square meter?

Answer 1

(a) From small angle approximation, we have

y = m$\lambda$L / d

The path difference is given as

$\Delta$x = $\phi$$\lambda$ / 2$\pi$

so,

$\phi$ = 2$\pi$dy / $\lambda$L

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(b) Putting in the given values

$\phi$ = 2$\pi$ * 15e-6 * 2.7e-3 / 590e-9 * 1.9

$\phi$ = 0.227 radians

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(c) I am not sure about this part, but I do know that for 2 slits, the intensity I_o and I are related as

I = 4I_ocos² ($\phi$ / 2)

so, from here we can solve for I_o

I am getting it as

I_o = 21.53 W/m²