Quantum MechanicsSpinStatistics Connection (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 9  13 of 13
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Question number: 9
» Quantum Mechanics » SpinStatistics Connection
Appeared in Year: 2013
Question
A spin particle A undergoes the decay,
where it is know that B and C are also spin particles. The complete set of allowed values of the spin of the particle D is – (June)
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Passage
In a system consisting of two spin particles labeled 1 and 2, let and denote the corresponding spin operators. Here, and are the three Pauli matrices. (June)
Question number: 10 (1 of 2 Based on Passage) Show Passage
» Quantum Mechanics » SpinStatistics Connection
Appeared in Year: 2011
Question
In the standard basis the matrices for the operators and respectively,
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 11 (2 of 2 Based on Passage) Show Passage
» Quantum Mechanics » SpinStatistics Connection
Appeared in Year: 2011
Question
These two operators satisfy the relation,
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 12
» Quantum Mechanics » SpinStatistics Connection
Appeared in Year: 2016
Question
The identity matrix and Pauli matrices do not form a group under matrix multiplication. The minimum number of matrices, which includes these four matrices, and form a group (under matrix multiplication) is: (December)
Choices
Choice (4)  Response  

a.  12  
b.  20  
c.  8  
d.  16 
Question number: 13
» Quantum Mechanics » SpinStatistics Connection
Question
12. In a basis in which the z – component of the spin is diagonal, an electron is in a spin state,
The probability that a measurement of will yield the value and are, respectively,
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 
