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Quantum Mechanics II - SS3 Physics Past Questions and Answers - page 1

1

What does the Schrodinger equation describe?

A

The behaviour of light waves

B

The behaviour of particles in a classical system

C

The behaviour of particles in a quantum system

D

The behaviour of particles in a relativistic system

correct option: c
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2

The Schrodinger equation is a:

A

Linear partial differential equation

B

Non-linear partial differential equation

 

C

Ordinary differential equation

D

Non-linear ordinary differential equation

correct option: a
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3

The solutions to the Schrodinger equation are:

A

Probability amplitudes

 

B

Probability densities

C

Wave functions

D

All of the above

correct option: d
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4

Which of the following is NOT a postulate of quantum mechanics?

 

A

Wave-particle duality

B

The uncertainty principle

C

The Schrodinger equation

D

The principle of least action

correct option: d
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5

Which of the following operators corresponds to the momentum of a particle in quantum mechanics?

 

A

iħ∂/∂t

B

-iħ

C

iħ∂/∂x

 

D

-iħ∂/∂y

correct option: b
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6

What is the logic for the Schrödinger equation?

 

The Schrödinger equation is a fundamental equation in quantum mechanics that describes the time evolution of a quantum mechanical state. The equation is a partial differential equation that describes how the wave function of a physical system changes over time. The wave function is a mathematical function that describes the probability amplitude of the system being in a particular state at a particular time.

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7

Of what importance is the Schrödinger equation?

The Schrödinger equation is the fundamental equation of quantum mechanics, and it is used to describe a wide variety of physical systems, including atoms, molecules, and solid-state materials.

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8

Which of the following is a property of a quantum state?

 

A

Mass

B

Charge

C

Energy

D

Probability

correct option: d
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9

Which of the following is true about a quantum operator?

 

A

It always produces a definite value when applied to a quantum state.

B

It always produces an eigenstate when applied to a quantum state.

C

It always produces a probabilistic outcome when applied to a quantum state.

D

It always produces a classical value when applied to a quantum state.

correct option: c
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10

What is a quantum state?

In quantum mechanics, a quantum state is a mathematical description of a physical system. Quantum states are represented by wavefunctions, which are complex-valued functions that describe the probability amplitude of a quantum system being in a particular state.

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