Quantum Mechanics-Spin-Statistics Connection (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 9 - 13 of 13

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Question number: 9

» Quantum Mechanics » Spin-Statistics Connection

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Appeared in Year: 2013

MCQ▾

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 » Spin-Statistics Connection

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Appeared in Year: 2011

MCQ▾

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 » Spin-Statistics Connection

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Appeared in Year: 2011

MCQ▾

Question

These two operators satisfy the relation,

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 12

» Quantum Mechanics » Spin-Statistics Connection

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Appeared in Year: 2016

MCQ▾

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 » Spin-Statistics Connection

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MCQ▾

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.

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