Question

1. A) Write down the Plank function (Iv) and list its terms (including numerical values for constants to 4 significant figures). B) Find the maximum of this function. Put it in the form Vmax = AT, where A is a constant, which you should find to 3 significant figures. Note that you will get a transcendental function that you must solve to find Vmax. You will have to interpolate to find the value of A. Construct a table that shows how you closed in on the value. C) This is a famous equation. What is its name? D) Look up the temperature of the Sun's photosphere to 3 significant figures and use it to find the peak of the Plank curve (to 3 significant figures). What wavelength does that correspond to (in nm)? What color is that? ___. 17 ani. C anonin 0050

Answer 1

sol ③ we know Relation between X and min Now let me express plank's function in terms of wavelengths latter I can exprey in frequency. - I = c, x5 che per Akt - 13 -0 i This is the plank's function & for finding wavelength Corresponding to marionum wave lenghts d It zo -56,4% de helyet igt att en met 13² eholdkt ( ) -o auto center 15t 5- he eh here (che era id] 4-5446 e -;" [in the cente r3- 3-59t' ce ter vsc cele mai - be hele helxkri > -setace _; 'c etiam ci ha -1]=0 XP

5XkT 41965k For x= tm d Ix zo so en CI- the ) det hele = 1 then lex ci-*)=1 This is a transendental equation (c) It's solutich can be found using transchental solution by Successive approximation method - we get solution as *=4.965 3 4.965 = hc ant = hc Акт Ami= b = 6.6*1034 x3x108 4.965 * 1.38x1523 we know tm = n man = ET Pomen = AT - Bxco, T = 1035x10l? This is known as Wein's Displacement Law. (D) we know surface temperature a plank carve - of sun T=5718k al Iman I Then tm = b = 2.9x103 5778 = 5019 xion 5019 A =501. q nm & colour of that wavelength t oll in colour t y 2.9 Xlom-lc 2.9x163 kasi Iman Xman -501.9 nm Ilman Φίνγα