(a) For a black body, the temperature and the wavelength of emission maximum, Amax, are related 2 = (3) ²₂ max by Wien's law, , where c₂ = hc/k. (i) Write a simplified Wien's law expression in a form of an equation of straight line, (i.e., y = mx + c). (ii) Identify an independent variable and the slope/gradient from (i) above. (iii) Values of Amax from a small pinhole in an electrically heated container were determined at a series of temperatures, and the results are given below. Draw a graph and deduce a value for Planck's constant.
(a) For a black body, the temperature and the wavelength of emission maximum, Amax, are related 2 = (3) ²₂ max by Wien's law, , where c₂ = hc/k. (i) Write a simplified Wien's law expression in a form of an equation of straight line, (i.e., y = mx + c). (ii) Identify an independent variable and the slope/gradient from (i) above. (iii) Values of Amax from a small pinhole in an electrically heated container were determined at a series of temperatures, and the results are given below. Draw a graph and deduce a value for Planck's constant.
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![(a) For a black body, the temperature and the wavelength of emission maximum, Amax, are related
AT=
T = ( 1 ) ²₂
by Wien's law,
, where c₂ = hc/k.
(i) Write a simplified Wien's law expression in a form of an equation of straight line, (i.e., y
= mx + c).
(ii) Identify an independent variable and the slope/gradient from (i) above.
(iii) Values of Amax from a small pinhole in an electrically heated container were determined
at a series of temperatures, and the results are given below. Draw a graph and deduce
a value for Planck's constant.
T(°C)
1000
Amax(nm) 2181
1500
1600
2000
1240
2500
1035
3000
878
3500
763](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbab5d562-1727-44e5-89a9-79260e0dd4f1%2F7dc2b6e6-18e9-4944-819f-5049550a39ce%2F21uxrg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(a) For a black body, the temperature and the wavelength of emission maximum, Amax, are related
AT=
T = ( 1 ) ²₂
by Wien's law,
, where c₂ = hc/k.
(i) Write a simplified Wien's law expression in a form of an equation of straight line, (i.e., y
= mx + c).
(ii) Identify an independent variable and the slope/gradient from (i) above.
(iii) Values of Amax from a small pinhole in an electrically heated container were determined
at a series of temperatures, and the results are given below. Draw a graph and deduce
a value for Planck's constant.
T(°C)
1000
Amax(nm) 2181
1500
1600
2000
1240
2500
1035
3000
878
3500
763
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