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View History Bookma 2 #10 x , The Expert TAI Human-De G x Secure https://usf18ks.th on/TakeTutorialAssignment.aspx Lesson 10 Wave Optics Begin Date: 6/25/2018 12:01:00 AM--Due Date: 7/15/201811 (3%) Problem i5: Light of wavelength ? 572 nm passes through a single slit of width w-2.1 ?m and illuminates a screen L-1.9 m 00 PM End Date: 7/22/2018 11:59:00 PM away us 50% Part (a) What is the maximum number of dark fringes nfringes of light could this setup produce on the screen? Grade Summary Potential 100 sino cos() tan() ? (1178 9 cotan0 asin acos0 atan0 acotan sinh cosh0 tanh0 cotanh0 Attempts remaining: (5% per attempt) detailed vlew 0 ted Hint I give up RA 50% Part (b) What is the width y, in meters, of the bright central maximum on the screen?

Explanation / Answer

a) let the maximum order of the dark fringe is m

d * sin(theta) = m * wavelength

2.1 *10^-6 * sin(90 degree) = m * 572 *10^-9

m = 3.67

number of dark fringes = 3 *2 + 1

number of dark fringes = 7

b)

for the highest bright central maximum

m = 3.5

y = m * wavelength * L/w

y= 3.5 * 1.9 * 572 *10^-9/(2.1 *10^-6)

y= 1.81 m

the bright central maximum on the screen is 1.81 m

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