3. The figure below shows the intensity of the Cosmic Microwave Background (CMB) as a function of the frequency (colour) of the radiation. The recorded satellite data is shown as red plusses, and the best fit theoretical prediction for a temperature of T = 2.725 K as the solid blue curve. The error bars for the data are smaller than the points on the plot. The satellite data is also given in the table beside the figure (taken from Ref. [2]). Frequency (cm-¹) 2.27 Intensity (MJy sr-¹) 400 201 Theoretical fit Satellite data 360 3.63 328 320 4.99 381 6.35 369 280 7.71 316 240 9.08 248 200 10.4 183 11.8 129 160 13.2 87.0 120 14.5 57.0 80 15.9 36.4 17.2 22.6 40 18.6 13.8 20.0 8.36 2 4 18 21.3 4.52 (question continued over) Page 7 of 20 (a) The area under the curve of the CMB intensity spectrum is proportional to the total power of the CMB. Using an appropriate method, develop a simple estimate of the area under the solid curve, and comment on the accuracy of your technique. CMB intensity (MJy sr-¹) 0- 6 + 8 10 12 14 16 Frequency (cm-¹) 20 22
3. The figure below shows the intensity of the Cosmic Microwave Background (CMB) as a function of the frequency (colour) of the radiation. The recorded satellite data is shown as red plusses, and the best fit theoretical prediction for a temperature of T = 2.725 K as the solid blue curve. The error bars for the data are smaller than the points on the plot. The satellite data is also given in the table beside the figure (taken from Ref. [2]). Frequency (cm-¹) 2.27 Intensity (MJy sr-¹) 400 201 Theoretical fit Satellite data 360 3.63 328 320 4.99 381 6.35 369 280 7.71 316 240 9.08 248 200 10.4 183 11.8 129 160 13.2 87.0 120 14.5 57.0 80 15.9 36.4 17.2 22.6 40 18.6 13.8 20.0 8.36 2 4 18 21.3 4.52 (question continued over) Page 7 of 20 (a) The area under the curve of the CMB intensity spectrum is proportional to the total power of the CMB. Using an appropriate method, develop a simple estimate of the area under the solid curve, and comment on the accuracy of your technique. CMB intensity (MJy sr-¹) 0- 6 + 8 10 12 14 16 Frequency (cm-¹) 20 22
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![3. The figure below shows the intensity of the Cosmic Microwave Background (CMB) as a function
=
of the frequency (colour) of the radiation. The recorded satellite data is shown as red plusses,
and the best fit theoretical prediction for a temperature of T 2.725 K as the solid blue curve.
The error bars for the data are smaller than the points on the plot. The satellite data is also
given in the table beside the figure (taken from Ref. [2]).
Frequency
(cm-¹)
2.27
Intensity
(MJy sr-¹)
400
201
Theoretical fit
Satellite data
360
3.63
328
320
4.99
381
6.35
369
280
7.71
316
240
9.08
248
200
10.4
183
11.8
129
160
13.2
87.0
120
14.5
57.0
80
15.9
36.4
17.2
22.6
40
18.6
13.8
0
20.0
8.36
2
4
18
21.3
4.52
(question continued over)
Page 7 of 20
(a) The area under the curve of the CMB intensity spectrum is proportional to the total power
of the CMB. Using an appropriate method, develop a simple estimate of the area under the
solid curve, and comment on the accuracy of your technique.
CMB intensity (MJy sr-¹)
6
+
8 10 12 14
16
Frequency (cm-¹)
20 22](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbbcca6c5-ac94-45d2-abbc-b5bb3d17eb80%2F852569f4-0e76-43b0-9c81-8ad4fa92add7%2Fzcmrwi_processed.png&w=3840&q=75)
Transcribed Image Text:3. The figure below shows the intensity of the Cosmic Microwave Background (CMB) as a function
=
of the frequency (colour) of the radiation. The recorded satellite data is shown as red plusses,
and the best fit theoretical prediction for a temperature of T 2.725 K as the solid blue curve.
The error bars for the data are smaller than the points on the plot. The satellite data is also
given in the table beside the figure (taken from Ref. [2]).
Frequency
(cm-¹)
2.27
Intensity
(MJy sr-¹)
400
201
Theoretical fit
Satellite data
360
3.63
328
320
4.99
381
6.35
369
280
7.71
316
240
9.08
248
200
10.4
183
11.8
129
160
13.2
87.0
120
14.5
57.0
80
15.9
36.4
17.2
22.6
40
18.6
13.8
0
20.0
8.36
2
4
18
21.3
4.52
(question continued over)
Page 7 of 20
(a) The area under the curve of the CMB intensity spectrum is proportional to the total power
of the CMB. Using an appropriate method, develop a simple estimate of the area under the
solid curve, and comment on the accuracy of your technique.
CMB intensity (MJy sr-¹)
6
+
8 10 12 14
16
Frequency (cm-¹)
20 22
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