Provide mathematical reasoning for your answer. And please answer in detail

(A) (3 points) The .120 to .121 transition for carbon monoxide (\"(7460) occurs at 1.153 x 105 MHZ. Calculate the value of the bond length in carbon n'Ionoxidc. (B) (3 points) \"then we discussed the selection rules for the harmonic oscillator, we computed the magnitude of a transition between states 11 and 11' via the expression . Using #2 = (303(9), show that the rotational transition from J = U )> J = 1 is allowed, but J = 0 > J = 2 is forbidden within the rigid rotor approximation approximation for any value of n1. Hint: Integrate (fl rst; you may discover that you don't actually have to solve every integral