Particle in a 1D Box: A particle of mass m = mkg is confined to a 1D box of length L = Lm. The solutions to the Time Independent Schrodinger Equation are as follows: wn(x) = 1/ % sin( "3\" ) where n is an integer a) What is the energy of the First excited state n = 2 [3 marks] First write out the expression in terms of parameters give: Enter the answer in scientific notation with 2 significant figures: [Remember: 2.1 x 103 can be written as "2.1E3"] b) What is the probability of observing a particle in the first excited state between