Question

The microwave emission spectrum of a linear molecule from an unknown source in a distant galaxy has transitions spaced at an interval of 1.80 cm-1, with a maximum intensity occurring in the 7th line. What is the average temperature in this galaxy, in Kelvin? Take care assigning the value of J for this transition.

Answer 1

Spacing between is = 2B. transitions of two energy levd JB = 1.80 cm B = 1.80 unt cogant we know that intenseitigo is proportional to the population of energy level.. il population is ligh, transition is more intense maximum intensity in 7th line 7th line aries from. transition J = 6 do J = 7 so the maximum population is in J = 6th level. Imax = 6 Janane va onc B=0.9cm 1.98 x 1023 N T 2x0.9 cm x 6.626 X 1024 x 3 x 101 enor

6 = 50.038 56 TX10 - 0.5 6.5 = 50.38567 T = (6.5) 2 k = 109.56k. 0:3856 Average Temperature in this galany is 109.56k