sketch a few cubic unit cells and draw the following lattice planes within them: (0 0 1), ( 1 0 1), (0 1 1), (0 2 1), (2 1 0), (2 1 1) and (1 2 2).

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a) Two snapshots of a wave moving to the right are superimposed asshown below. The snapshots are taken at t=0s and t=0.1s. Estimatethe period, frequency, amplitude, wavelength and velocity of thiswave. At the position x=2, what is the displacement at each of thetimes shown?
b) Given the wave form seen below with the horizontal axismeasuring time in seconds, one of the component waves that makes upthis wave is 50Hz, what is the other? Explain your reasoning.
2
1
0
- 1
- 2
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6
x
3 2 1 0
-1 -2 -3
0
0.1 0.2 0.3 0.4 0.5
y
c) ShowbelowarewavesAandBatt=0.Aismovingtotheleftat2m/s,whileBismovingto the right at 2m/s. Eachblock is (1m) x (1m). Sketch the superposition of these waves A andB at t = 0s and t=2s.
4
2 2 1 1 0 0 -1 -1
-2 -2
-3 -3
44 3 3
0
0
t=0
t=2
5
110
115 0
5
5
110 15
44 3
2 1 0 -1
-2 -3
4 3
2 1 0 -1
-2 -3
0
0
0
5
5
5
110
10

A 60-\rm W light bulb radiates electromagnetic waves uniformly inall directions. At a distance of 1.0 \rm m from the bulb, the lightintensity is I_0, the average energy density of the waves is u_0,and the rms electric and magnetic field values are E_0 and B_0,respectively.
At 2.0 \rm m from the bulb, what is the light intensity?

I_0
\sqrt \frac{1}{2}I_{\rm 0}
\frac{1}{2}I_{\rm 0}
\frac{1}{4}I_{\rm 0}

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Part B
At 2.0 \rm m from the bulb, what is the average energy density ofthe waves?

u_0
\sqrt \frac{1}{2}u_{\rm 0}
\frac{1}{2}u_{\rm 0}
\frac{1}{4}u_{\rm 0}

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Part C
At 2.0 \rm m from the bulb, what is the rms magnetic fieldvalue?

B_0
\sqrt \frac{1}{2}B_{\rm 0}
\frac{1}{2}B_{\rm 0}
\frac{1}{4}B_{\rm 0}

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sketch a few cubic unit cells and draw the following lattice planes within them: (0 0 1), ( 1 0 1), (0 1 1), (0 2 1), (2 1 0), (2 1 1) and (1 2 2).

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Physics: Principles with Applications

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