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Quantum Equation Problems

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.

De Broglie equation

a)

relates the momentum of a mass to its wavelength

b)

relates the energy of a mass to its wavelength

c)

relates the frequency of a mass to its wavelength

d)

relates the work function of a mass to its wavelength

2.

If waves can behave like particles, then particles can behave like a wave. This is the idea behind...

a)

Quantization of Energy

b)

Photoelectric Effect

c)

Compton Effect

d)

deBroglie Waves

e)

Uncertainty Principle

3.

The energy of a particle trapped inside an infinite deep potential well is 8 eV. If the width of the well is halved then it's energy becomes

a)

2 eV

b)

4 eV

c)

16 eV

d)

32 eV

4.

Name the scientist who created an equation to treat the electron as a wave

a)

Planck

b)

Heisenberg

c)

de Broglie

d)

Schrodinger

5.

The SI unit of frequency is the __________.

a)

meter

b)

second

c)

hertz

d)

meter per second

6.

If a proton and an electron have same energy, then which one is correct?

a)
b)
c)
d)
7.

The normalized wave function must have ________ norm

a)

Infinite

b)

Zero

c)

Finite

d)

Complex

8.

The square of the magnitude of the wave function is called_________

a)

Current density

b)

Probability density

c)

Zero density

d)

Volume density

9.

The operator ∇2 is called _______ operator

a)

Hamiltonian

b)

Laplacian

c)

Poisson

d)

Vector

10.

The function representing matter waves must be ________

a)

Complex

b)

Real

c)

Zero

d)

Infinity

11.

A ____ is a discrete, quantized bundle of energy

a)

Photoelectric effect

b)

Photon

c)

Quantized

d)

Proton

12.

find the correct applications of quantum mechanics.

a)

Quantum mechanics is used to explain the concept of

photoelectric effect.

b)

The atomic structure and the origin of spectral lines are explained by Bohr based on quantum concepts.

c)

The phenomenon like Scattering of X-rays are

explained by Compton based on quantum ideas.

d)

Based on quantum ideas, the problem

of specific heat of solids at low temperature

is explained successfully.

13.

Which one is correct Schrodinger time independent equation

a)

[∇2 ψ + 2m (E –V) ψ] / ħ2 = 1

b)

[∇2 ψ + m (E –V) ψ] / ħ2 = 0

c)

[∇2 ψ + 2m (E –V) ψ] / ħ2 = 0

d)

[∇2 ψ + 2m (E –V) ψ] / ħ = 0

14.

Which one is correct Schrodinger time dependent equation?

a)

H = E

b)

H = Eψ

c)

Hψ = ψ

d)

Hψ = Eψ

15.

This equation represents Schrodinger's

a)

time independent in 3-d for free particle.

b)

time independent in 3-d.

c)

time dependent in 1-d for free particle.

d)

time dependent in 1-d.

16.

Quantum mechanical operator, corresponding to physical quantity momentum, is

a)
b)
c)
d)
17.

The de-Broglie wavelength of an electron is 5 Angstrom. Then its momentum is

a)
b)
c)
d)
18.

An electron is moving freely with kinetic energy 10 eV. It's de-Broglie wavelength is

a)
b)
c)
d)
19.

The equation which links Energy to wavelength is...

a)

E=hfE=hf

b)

E=hfλE=\frac{hf}{\lambda}

c)

E=hcλE=\frac{hc}{\lambda}

d)

c=fλc=f\lambda

20.

What does the p stand for?

a)

power

b)

momentum

c)

pressure

d)

principle axis