(a) Write the appropriate Schrodinger equation for (i) simple harmonic oscillator (ii) rigid rotor, (ii) define the zero point energy and write its physical significance. (2M) (b) The v = 0 to 1 band of LiH occurs at 1359 cm 1. Calculate the ratio the v=1 to 0 populations at 25C and 200C. Do the same for ICI, whose strongest infrared band occurs a 381 cm! (2M) (c) The spacing between the two adjacent lines of the microwave spectrum of 1435C1, is 5.63 x 1011 Hz, given that the bond length of D35Cl is 8.76% greater than 'H35Cl then what will be the corresponding spacing for D35Cl in Hz. (2M)