Quantum Mechanics-Spin-Statistics Connection (CSIR Physical Sciences): Questions 7 - 9 of 11

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 401 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 300.00 or

Question number: 7

» Quantum Mechanics » Spin-Statistics Connection

Appeared in Year: 2014

MCQ▾

Question

Let, σ=(σ1,σ2,σ3); where σ1,σ2,σ3 are the Pauli matrices. If a and b are two arbitrary constant vectors in three dimensions, the commutator [aσ,bσ] is equal to (in the following I is the identity matrix). (December)

Choices

Choice (4) Response

a.

(ab)I

b.

(ab)(σ1+σ2+σ3)

c.

a b I

d.

2i(a×b)σ

Question number: 8

» Quantum Mechanics » Spin-Statistics Connection

Appeared in Year: 2013

MCQ▾

Question

Consider three particles A, B and C each with an attribute S that can take two values ±1. Let SA=1,SB=1 and SC=1 at a given instant. In the next instant, each S value can change to S with probability 13 . The probability that SA+SB+SC remains unchanged is – (June – 2013)

Choices

Choice (4) Response

a.

29

b.

23

c.

49

d.

13

Question number: 9

» Quantum Mechanics » Spin-Statistics Connection

Appeared in Year: 2013

MCQ▾

Question

A spin 12 particle A undergoes the decay, AB+C+D

where it is know that B and C are also spin 12 particles. The complete set of allowed values of the spin of the particle D is – (June)

Choices

Choice (4) Response

a.

12,1,32,2,52,3

b.

12only

c.

0, 1

d.

12,32,52,72

f Page
Sign In