An electron is trapped in a one-dimensional infinite potential well. for what of the following is the corresponding energy difference equal to the energy difference? e65 between the levels n = 6 and n = 5?

(a) the higher quantum number

(b) the lower quantum number

(c) show that no pair of adjacent levels has an energy difference equal to 2? e65. (do this by giving the value that the level is equal to.)

The dipole moment of the water molecule (h2o) is 6.17x10^-30 c.m. consider a water molecule located at the origin whose dipole moment p points in the +x-direction. a chlorine ion ( of charge-1.60x10^-19c , is located at x=3.00x10^-9m . assume that is much larger than the separation d between the charges in the dipole, so that the approximate expression for the electric field along the dipole axis can be used. a) find the magnitude of the electric force that the water molecule exerts on the chlorine ion. b) what is the direction of the electric force. -x-direction or +x-direction c) is this force attractive or repulsive?