# Quantum Mechanics 1 | Week 11

**Session: JAN-APR 2024**

**Course name: Quantum Mechanics I**

**Course Link: Click Here**

**For answers or latest updates join our telegram channel: Click here to join **

#### These are Quantum Mechanics 1 Week 11 Assignment Nptel Answers

#### Q1. The ground state energy of the Hydrogen atom is given as E₁ = -R, where R = 13.6 eV is the Rydberg constant. If the atom makes a transition from the excited state n = 3 to the state n = 2, then the radiation emitted would be ______________eV. (Write upto two decimal places.)

Answer: 1.89

**Q2. The allowed angular momentum j when we add two particles with angular momentum j15/2 and j2 = 3/2 are**

a) 0, 1, 2, 3, 4

b) 1/2,3/2,5/2

c) 1,2,3,4

d) 7/2,5/2,3/2

**Answer: c) 1,2,3,4**

**For answers or latest updates join our telegram channel: Click here to join **

**These are Quantum Mechanics 1 Week 11 Assignment Nptel Answers**

**Q3. The matrix element of z between 4F and 4D hydrogen states is given by2 <4F, m = 2/2/4D, m = 2) = -300where ao is the Bohr radius. (4F, m = 3|y|4D, m = 2) will be**

a) i√2/3a0

b) -ia0

c) i√3/2a0

d) ia0

**Answer: a) i√2/3a0**

**Q4. The product of the position vector component zy in terms of spherical rank two tensor T be 2) will**

**Answer: a)**

**For answers or latest updates join our telegram channel: Click here to join **

**These are Quantum Mechanics 1 Week 11 Assignment Nptel Answers**

**Q5. The maximum degeneracy of states when we add angular momentum j₁ = 4 and j₂ = 2 is**

a) 2

b) 4

c) 9

d) 5

**Answer: d) 5**

**Q6. Consider a state vectorThe possible measurements of square of angular momentum operator L2 on the eigenstate 2, -1) is ___________ h². (Answer should be an integer)**

Answer: 0.6

**For answers or latest updates join our telegram channel: Click here to join **

**These are Quantum Mechanics 1 Week 11 Assignment Nptel Answers**

**Q7. Two atoms with angular momentum J₁ = 2 and J2 1 are coupled and are described by Hamiltonian H = € J1 J2, where € > 0. If the Hamiltonian acts on J, M) state, then the energy eigenvalues corresponding to the possible values of total angular momentum J will be**

a) -3€h², -€h², 2€h²

b) €h², -3€h², 2€h²

c) 2€h², €h², 3€h²

d) -€h², 2€h², 3€h²

**Answer: a) -3€h², -€h², 2€h²**

**Q8. The Clebsch-Gordan coefficient (m₁=j1, m₂-12+3|j 11+12. m) will be non-zero if**

a) m = j1+j2 – 3

b) m = j1 + j2

c) m = j1 – j2 + 2

d) m = j2 – 1 – j1.

**Answer: c) m = j1 – j2 + 2**

**For answers or latest updates join our telegram channel: Click here to join **

**These are Quantum Mechanics 1 Week 11 Assignment Nptel Answers**

**Q9. The parity operator P anti-commutes with the orbital angular momentum operator L.**

a) True

b) False

**Answer: b) False**

**Q10.**

**Answer: a)**

**For answers or latest updates join our telegram channel: Click here to join **

**These are Quantum Mechanics 1 Week 11 Assignment Nptel Answers**

More Weeks of Quantum Mechanics I: Click here

More Nptel Courses: https://progiez.com/nptel-assignment-answers

The content uploaded on this website is for reference purposes only. Please do it yourself first. |