(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
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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