For vibrational states, the boltzmann equation can be written as n1 n0 = e − δe kt, where n0 and n1 are the populations of the lower and higher energy states, respectively, δe is the energy difference between states, k is boltzman’s constant, and t is the temperature in kelvins. for temperatures of 15 °c and 50 °c, calculate the ratios of the intensities of the anti-stokes and stokes lines for ccl4 at (a) 218 cm-1 , (b) 459 cm-1 , and (c) 790 cm-1 . for each temperature and raman shift, calculate how much more intense the stokes line is compared to the anti-stokes line. room temperature is 298k

Abasketball star covers 2.65 m horizontally in a jump to dunk the ball. his motion through space can be modeled precisely as that of a particle at his center of mass. his center of mass is at elevation 1.02 m when he leaves the floor. it reaches a maximum height of 1.90 m above the floor and is at elevation 0.910 m when he touches down again. (a) determine his time of flight (his "hang time"). (b) determine his horizontal velocity at the instant of takeoff. (c) determine his vertical velocity at the instant of takeoff. (d) determine his takeoff angle. (e) for comparison, determine the hang time of a whitetail deer making a jump with center-of-mass elevations yi = 1.20 m, ymax = 2.45 m, and yf = 0.750 m.