(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.