For a CARS experiment on a Raman band 918 cm-1, if omega1= 1280 nm, calculate the omega2 in wavelength (nm) and the CARS output in wavelength (nm).

Suppose that the junction between two semiconductors can be represented by a barrier of height 2.0 eV and length 100 pm. Calculate the transmission probability of an electron with energy 1.5 eV.

What will the frequency of a modulated signal from a Michelson interferometer with a mirror velocity of 1.29 cm/s for radiation with a wavelength of 429 nm?

5. Determine yy for each of the following wavefunctions: (i =V-1) a) y (x) = e b) y(0) = sin 0 +i cose c) w(x) = A · e*.

Part C: What is the wavelength of the photon that interacted with the system, in units of nm?

2/ Please explain the answer in detail The J = 0 to j = 1 transition for carbon monoxide (12C160) occurs at 1.153 × 105 MHz. Calculate the value of the bond length in carbon monoxide.

7:36 PM Tue Sep 13 < r f(x) = x (L-X) N² | 41² dx = 1 тод Normalize the wavefunction f(x) = x(L-x) over the range from 0 to L 10 2 N² [^x-x²) dx = 1 0 66% ( + : U 1 ill sist hotween Y = 0

Calculate the linear momentum of photons of wavelength 350nm. At what speed would a H2 molecule need to travel for it to have the same linear momentum? Pphoton =(mv) H₂ (zamu)(1.66 x 10-27 kg/amu) = mH₂kg Kg

9 F F F F W ← ← 9. ← Sketch a plot of the wave for the energy levels of HOMO and LUMO of B-carotene molecule, clearly show the number of wave they have, respectively. There is no need to concern about the turning point and amplitude of the waves on the sketch. On the plot, also write down the equations for the allowed wavefunctions acceptable for the HOMO and LUMO, respectively, for the 1-D particle in a box model. (No need to convert variables to numerical data, except for n.) (8 marks)< You may paste your scanned hand-drawn sketch, or use any available software for your sketch.< Your Sketch:< E E E ← ← ←

Part A: What is the energy of the system when in its ground state, in units of eV?