Consider an electron on a surface of sphere with radius R=0.1 nm which is described by the a spherical harmonics below

|{ionsider an electron on a surface of sphere with radius R=U.1 11111 which is described by the a spherical harmonics below, 1 1 - 1"2_1[I9,50)= 51.? Eire\"'9 sincosgp Evaluate the square of angular momentum 2 of this electron using the corresponding operator, 1 a a 1 62 L2 : H2 ' 6' [sina (5m 39) + sin2 6' 3952 and compute the rotational kinetic energy. (See the spherical coordinates scheme below.)