Quantum Mechanics-Wave-Function in Coordinate Representations (CSIR Physical Sciences): Questions 1 - 3 of 5

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Question number: 1

» Quantum Mechanics » Wave-Function in Coordinate Representations

Appeared in Year: 2012

MCQ▾

Question

If a particle is represented by the normalized wave function,

ψ(x)={

The uncertainty Δp in its momentum is – (December)

Choices

Choice (4) Response

a.

10ha

b.

5h2a

c.

2h5a

d.

5h2a

Question number: 2

» Quantum Mechanics » Wave-Function in Coordinate Representations

Appeared in Year: 2014

MCQ▾

Question

Consider a system of two non – interacting identical fermions, each of mass m in an infinite square well potential of width a. (Take the potential inside the well to be zero and ignore spin. ) The composite wavefunction for the system with total energy E=5π222ma2 is – (June)

Choices

Choice (4) Response

a.

2a[sin(πx1a)cos(πx2a)sin(πx2a)cos(πx1a)]

b.

2a[sin(πx1a)sin(2πx2a)+sin(2πx1a)sin(πx2a)]

c.

2a[sin(πx1a)sin(3πx22a)sin(3πx12a)sin(πx2a)]

d.

2a[sin(πx1a)sin(2πx2a)sin(2πx1a)sin(πx2a)]

Question number: 3

» Quantum Mechanics » Wave-Function in Coordinate Representations

Appeared in Year: 2011

MCQ▾

Question

The wavefunction of a particle is given is given by ψ=(12ϕ0+iϕ1) , where ϕ0 and ϕ1 are the normalized eigenfunctions with energies E0 and E1 corresponding to the ground state and first excited state, respectively. The expectation value of the Hamiltonian in state ψ is –

(June)

Choices

Choice (4) Response

a.

E02+E1

b.

E02E13

c.

E0+2E13

d.

E02E1

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