Free Printable Quantum mechanics

1.

Wave function is a function of

a)

Electric and Magnetic fields

b)

Space and time

c)

pressure variations

2.

Properties of Eigen wave function

a)

Single valued

b)

Finite

c)

Continuous

d)

Infinite

3.

Probability of finding the particle in a given space is given by

a)

Wave function

b)

Probability amplitude

c)

Probability density

4.

If the particle is confined to a region, what will be the potential inside the well

a)

Infinite

b)

^V₀

c)

Zero

5.

There will be a probability of finding the particle outside the well in

a)

Infinite potential

b)

Finite potential

6.

Quantum tunnelling occurs only when

a)

kinetic energy of the particle is less than the potential energy barrier

b)

kinetic energy of the particle is greater than the potential energy barrier

c)

kinetic energy of the particle is equal to tthe potential energy barrier

7.

During Quantum tunnelling,

a)

Energy of the wave function decreases

b)

Amplitude of the wave function decreases

c)

Frequency of the wave function decreases

d)

Wavelength of the wave decreases

8.

Schrodinger's time independent wave equation corresponds to

a)

Progressive wave

b)

Stationary wave

9.

Eigen energy value for a particle in 1D infinite potential well is given by

a)

$E=\frac{n^2h^2}{8ma^2}$

b)

$E=\frac{nh^2}{8ma}$

c)

$E=\frac{nh}{8ma^2}$

d)

$E=\frac{nh^2}{8ma^2}$

10.

Normalization factor of the Eigen wave function obtained in Particle in 1D Infinite potential well

a)

$\sqrt{\frac{a}{2}}$

b)

$\sqrt{\frac{2}{a}}$

c)

$\frac{a}{2}$

d)

$\frac{2}{a}$

11.

If the width of the 1D infinite potential well is 2nm, which state of the electron possess the energy of $1.355\ x\ 10^{-19}J$

a)

Ground state

b)

First excited state

c)

Second excited state

d)

Third excited state

12.

The ground state energy of the electron in 1D infinite potential well is $1.5\ x\ 10^{-20}J$ , what will be the ground state energy of the electron if the width of the potential well is halved.

a)

$0.75\ x\ 10^{-20}J$

b)

$3\ x\ 10^{-20}J$

c)

$4\ x\ 10^{-20}J$

d)

$6\ x\ 10^{-20}J$

13.

The width of the infinite potential well is 1A^o , what will be the energy difference of 1st and 2nd excited states of the electron

a)

37 eV

b)

150 eV

c)

190eV

d)

350eV

14.

What will be the deBroglie wavelength of an electron confined to an infinite potential well of width 10A⁰ in its first excited state?

a)

Twice the width of the potential well

b)

Half the width of the potential well

c)

Same as the width of the potential well

d)

Four times the potential well

15.

Wavelength of the electron in the ground state of an infinite potential well is --------compared with the ground state of finite potential well

a)

exactly twice

b)

same

c)

larger

d)

lesser

Quantum mechanics_ Activity II

Total questions: 15

Worksheet time: 41mins

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