PASSAGEConsider a particle whose wave function is,Read the following passage to answer the given questions based on it. Choose the correct options. (Marks: 1)Find the total angular momentum of this particleOPTIONS √2ħ √6ħ2 √6ħ √2ħ2

A particle in a central potential V (r) has a wavefunction of Ψ= f (r,Ө) sin2Ø where Ø is the azimuthal angle in the spherical polar coordinate system. Also, this wavefunction Ψ is properly normalized, i.e.˂ΨӏΨ˃=1Read the following passage to answer the given questions based on it. Choose the correct options. (Marks: 1)What is the expectation value of z component of orbital angular momentum , ˂Lz ˃?OPTIONS 0.016 0.015 0.021 0.017

A particle in a central potential V (r) has a wavefunction of Ψ= f (r,Ө) sin2Ø where Ø is the azimuthal angle in the spherical polar coordinate system. Also, this wavefunction Ψ is properly normalized, i.e.˂ΨӏΨ˃=1Read the following passage to answer the given questions based on it. Choose the correct options. (Marks: 1)What is the probability of measuring Lz and obtain 2ħ?OPTIONS 0.056 0.05 0.52 0.6

Consider a system of total angular momentum j=1 and the operators are given by,Choose the correct options. (Marks: 4)Calculate and , when jx = -h/2πOPTIONS = h2/8π2 and = 0 = 0 and = h2/8π2 = 2 and = h2/π2 = 0 and = h/8π2

In a transverse wave, the particles vibrate _________ perpendicular to the direction of the wave. Group of answer choicesside to sideup and downback and forthin a circle

The wave function for a quantum particle is given by𝜓(x)= Axbetween x = 0 and x = 1.00, and 𝜓(x) = 0 elsewhere.Find the value of the normalisation constant A.Answer for part 1 Find the expectation value of the particle's position.Answer for part 2Find the probability that the particle will be found between x = 0.245 and x = 0.465.