Consider a particle without spin given by the wave functionV = y (x + y+2z) e-ar,Where :r = Vx² + y² + z² with Y and a real constants.a) Calculate the total angular momentum of the particleb) What is the expectation value of the z component of angular momentum?c) If the z component of angular momentum is measured, what is the probability that the result is h ?d) What is the probability of finding the particle in 0. , 0 and the solid angle d2? Where the angles 0. Y Oare the usual spherical coordinates.Hint: Consider the following spherical harmonics331YOY° = /cos 0,47Y =sin de±iø874T15sin 0 cos de±io.87

Given: The particle wavefunction without spin is given as

Answered: Consider a particle without spin given…

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