Quantum Mechanics-Wave-Function in Coordinate Representations (CSIR Physical Sciences): Questions 4 - 5 of 5

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Question number: 4

» Quantum Mechanics » Wave-Function in Coordinate Representations

Appeared in Year: 2014

MCQ▾

Question

Let ψ=C0 0+C1 1 (where C0 and C1 are constants with C02+C12=1 ) be a linear combination of the wavefunction of the ground and first excited states of the one – dimensional harmonic oscillator. For what value of C0 is the expectation value x a maximum? (December)

Choices

Choice (4) Response
a.

x=mω,c0=12

b.

x=2mω,c0=12

c.

x=mω,c0=12

d.

x=2mω,c0=12

Question number: 5

» Quantum Mechanics » Wave-Function in Coordinate Representations

Appeared in Year: 2012

MCQ▾

Question

The energy in the ground state and first excited state of a particle of mass m=12 in a potential V(x) are 4 and 1 , respectively, (in units in which =1 ). If the corresponding wave functions are related by ψ1(x)=ψ0(x)sinh(x) , then the ground state eigen function is – (December)

Choices

Choice (4) Response
a.

ψ0(x)=sech2x

b.

ψ0(x)=sechx

c.

ψ0(x)=sech3x

d.

ψ0(x)=sechx

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