Homework-11-solns

Homework-11-solns - Homework 11 Chapter 28 SOLUTIONS...

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Homework 11 – Chapter 28 – SOLUTIONS QUESTION 1 A person driving at 17 m/s crosses the line connecting two radio transmitters at right angles, as shown in the following figure. The transmitters emit identical signal in phase with each other, which the driver receives on the car radio. When the car is at point A, the radio picks up a maximum net signal. (a)The longest possible wavelength of the radio waves is: (b) How long after the car passes point A does the radio experience a minimum in the net signal? (Assume that the wave length has the value you find in part (a). SOLUTIONS (a) Label the transmitter on the left “1” and that on the right “2”. Since point A corresponds to an interference maximum, we must have:   L 1  –  L 2   = 450m – 150m = 300 m =  m   The longest wavelength fulfilling this criterion occurs for  m  = 1:    = 300 m (b) See the diagram below: Criterion for a minimum: d 1 – d 2 = ( m – ½) = ½ for the m = 1 minimum.   d 1 = L 1 2 y 2 d 2 = L 2 2 y 2 y = v t L 1 L 2 y d 1 d 2
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1 2 = L 1 2 y 2 L 2 2 y 2 L 1 2 y 2 = 1 2  L 2 2 y 2 L 1 2 y 2 = 1 4 2 L 2 2 y 2  L 2 2 y 2 L 1 2 L 2 2 1 4 2 = L 2 2 y 2 L 2 2 y 2 = 1 2 L 1 2 L 2 2 1 4 2 2 y 2 = 1 2 L 1 2 L 2 2 1 4 2 2 L 2 2 t = 1 v [ 1 2 L 1 2 L 2 2 1 4 2 2 L 2 2 ] 1 / 2 t = 1 17 m / s [ 1 300 m 2 450 m 2 − 150 m 2 1 4 300 m 2 2 − 150 m 2 ] 1 / 2 t  = 30 s QUESTION 2 Laser light with a wavelength of 540 nm illuminates a pair of slits at normal incidence. What slit spacing will produce first-order maxima at angles of 24 degrees from the incident direction? SOLUTION d sin = m m = 1 d = sin = 540 nm sin 24 o = 1328 nm = 1.328  m
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QUESTION 3 A laser light with wavelength 500 nm strikes a pair of slits at normal incident, forming a double slit interference pattern on a screen located 1.10 m from the slit, as shown in the
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This note was uploaded on 07/02/2011 for the course PHYS 202 taught by Professor Warren during the Spring '09 term at Indiana.

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Homework-11-solns - Homework 11 Chapter 28 SOLUTIONS...

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