A neutron is trapped in an infinitely deep potential well 2.5 fm in width. 1.) Determine the four lowest possible energy states. [Note: This is a rough model of an atomic nucleus.] Express your answers using two significant figures separated by commas. E1 , E2, E3, E4 = ................ MeV 2.) Determine their wave functions. n=(2.8107m1/2)exp[(1.31015nm1)x],n=1,2,3,4 n=(2.8107m1/2)sin[(1.31015n2m1)x],n=1,2,3,4 n=(2.8107m1/2)sin[(1.31015nm1)x],n=1,2,3,4 n=(2.8107m1/2)exp[(1.31015nm1)x],n=1,2,3,4 3.) What is the energy of a photon emitted when the neutron makes a transition between the two lowest states? Express your answer using two significant figures. E= ........ MeV 4.) What is the wavelength of this photon? Express your answer using two significant figures.  = .... m