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Lesson 1: Blackbody Radiation, Max Planck Hypothesis and the Photon — Picture questions (exam style)

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1.
A black sphere of radius 20.0 cm radiates 2.61×107 W. What is its surface temperature? (σ = 5.67×10−8 W m−2 K−4)
A black sphere of radius 20.0 cm radiates 2.61×10⁷ W. What is its surface temperature? (σ = 5.67×10⁻⁸ W m⁻² K⁻⁴)
6540 K
5500 K
2750 K
4630 K
2.
The graph shows black-body radiation at 5000 K. Find the wavelength of peak intensity (Wien constant 2.9×10−3 m K).
The graph shows black-body radiation at 5000 K. Find the wavelength of peak intensity (Wien constant 2.9×10⁻³ m K).
1.72×10−3 nm
14500 nm
580 nm
290 nm
3.
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 4000 K and 3000 K?
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 4000 K and 3000 K?
2.37
1.78
1.33
3.16
4.
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 12000 K and 3500 K?
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 12000 K and 3500 K?
11.8
40.3
138
3.43
5.
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 9000 K and 8000 K?
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 9000 K and 8000 K?
1.12
1.27
1.60
1.42
6.
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 2000 K and 8000 K?
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 2000 K and 8000 K?
3.91×10−3
0.0156
0.250
0.0625
7.
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 6000 K and 5800 K?
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 6000 K and 5800 K?
1.03
1.07
1.15
1.11
8.
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 6000 K and 10000 K?
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 6000 K and 10000 K?
0.216
0.600
0.130
0.360
9.
The curves are for a black body at two temperatures. Curve 1 is at 5000 K. What is the temperature of curve 2? (use the peak positions)
The curves are for a black body at two temperatures. Curve 1 is at 5000 K. What is the temperature of curve 2? (use the peak positions)
14000 K
7000 K
9000 K
2780 K
10.
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 2500 K and 8000 K?
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 2500 K and 8000 K?
9.54×10−3
0.312
0.0305
0.0977
11.
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 9000 K and 4500 K?
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 9000 K and 4500 K?
4.00
8.00
16.0
2.00
12.
The curves are for a black body at two temperatures. Curve 1 is at 5000 K. What is the temperature of curve 2? (use the peak positions)
The curves are for a black body at two temperatures. Curve 1 is at 5000 K. What is the temperature of curve 2? (use the peak positions)
4000 K
3000 K
8000 K
8330 K
13.
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 12000 K and 4500 K?
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 12000 K and 4500 K?
50.6
2.67
19.0
7.11
14.
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 2500 K and 4000 K?
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 2500 K and 4000 K?
0.244
0.153
0.391
0.625
15.
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 3000 K and 4500 K?
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 3000 K and 4500 K?
0.296
0.198
0.667
0.444
16.
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 9000 K and 7000 K?
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 9000 K and 7000 K?
1.29
1.65
2.73
2.13
17.
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 2000 K and 4000 K?
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 2000 K and 4000 K?
0.0625
0.125
0.500
0.250
18.
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 2000 K and 5000 K?
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 2000 K and 5000 K?
0.160
0.400
0.0640
0.0256
19.
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 3000 K and 7000 K?
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 3000 K and 7000 K?
0.184
0.0787
0.429
0.0337
20.
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 9000 K and 6000 K?
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 9000 K and 6000 K?
3.38
2.25
1.50
5.06
21.
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 12000 K and 5800 K?
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 12000 K and 5800 K?
18.3
2.07
4.28
8.86
22.
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 12000 K and 10000 K?
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 12000 K and 10000 K?
2.07
1.73
1.20
1.44
23.
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 9000 K and 3000 K?
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 9000 K and 3000 K?
27.0
3.00
9.00
81.0
24.
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 6000 K and 3500 K?
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 6000 K and 3500 K?
2.94
5.04
8.64
1.71
25.
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 6000 K and 8000 K?
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 6000 K and 8000 K?
0.422
0.562
0.316
0.750
26.
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 2500 K and 3000 K?
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 2500 K and 3000 K?
0.833
0.482
0.579
0.694
27.
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 12000 K and 6000 K?
What is the ratio P₂/P₁ of total power radiated per unit area for the black body at 12000 K and 6000 K?
8.00
4.00
2.00
16.0
28.
The curves are for a black body at two temperatures. Curve 1 is at 5000 K. What is the temperature of curve 2? (use the peak positions)
The curves are for a black body at two temperatures. Curve 1 is at 5000 K. What is the temperature of curve 2? (use the peak positions)
7500 K
3750 K
10000 K
2500 K
29.
The curves are for a black body at two temperatures. Curve 1 is at 5000 K. What is the temperature of curve 2? (use the peak positions)
The curves are for a black body at two temperatures. Curve 1 is at 5000 K. What is the temperature of curve 2? (use the peak positions)
4500 K
4000 K
6250 K
9000 K
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