Please Answer the question

1. Suppose the wave-function for a free particle of mass m in one dimension with coordinate x is (x)=cex2/4a2 where c and a are constants. (a) Determine the normalization constant, c, in terms of the length a. (b) Estimate the uncertainty in the particle's momentum, p. Do the calculation by applying the wave function to compute the root-mean square, (pp)21/2, where p=(/i)d/dx. Compare the result of that calculation with an application of the uncertainty principle, xp (c) Estimate the total energy of the particle. Again, do the calculation by applying the wave function to compute the expectation value of the Hamiltonian, and compare that result with an estimate based upon the uncertainty principle