Quantum Mechanics-Dirac Notation for State Vectors (CSIR Physical Sciences): Questions 1 - 2 of 2

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Question number: 1

» Quantum Mechanics » Dirac Notation for State Vectors

Appeared in Year: 2013

MCQ▾

Question

Consider the normalized state ψ of a particle in a one – dimensional harmonic oscillator:

ψ=b1 0+b2 1

Where 0 and 1 denoted the ground and first excited states respectively, and b1 and b2 are real constants. The expectation value of the displacement x in the state ψ will be a minimum when – (June)

Choices

Choice (4) Response

a.

b2=12b1

b.

b2=b1

c.

b2=0,(b1=1)

d.

b2=12b1

Question number: 2

» Quantum Mechanics » Dirac Notation for State Vectors

Appeared in Year: 2014

MCQ▾

Question

Let ψ1 and ψ2 denoted the normalized eigenstate of a particle with energy eigenvalue E1 and E2 respectively, with E2>E1 . At time t=0 the particle is prepared in a state ψ(t=0)=12(ψ1+ψ2) . The shortest time T at which ψ(t=T) will be orthogonal to ψ(t=0) is – (December)

Choices

Choice (4) Response

a.

π4(E2E1)

b.

2πE2E1

c.

π2(E2E1)

d.

πE2E1

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