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Quantum physics

Total questions: 25

Worksheet time: 54mins

Name
Class
Date
1.

Plank's radiation formula is given by

a)
b)
c)
d)
2.

Which of the following is correct related to black body radiation curve?

a)

Plank's formula could explain the radiation curve in all frequency range.

b)

Wien's formula for radiation energy distillation well explains the distribution of energy in high frequency range.

c)

Rayleigh-Jean's formula well matches with the radiation curve in low frequency range.

d)

All the above

3.

As per Plank's hypothesis an oscillator can have only discrete energy values given by (see the image), where n= __________

a)

1,2,3 .................

b)
c)

0,1,2,3........

d)

All the above

4.

The minimum energy required by a bound electron to be liberated from the metal when it is illuminated by light of suitable wavelength is called

a)

Stopping potential

b)

threshold frequency

c)

work function

d)

maximum kinetic energy

5.

Einstein's photoelectric equation is

a)
b)
c)
d)
6.

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.

7.

Dimension of 1-d probability density and that of 2-d wave function is __________ and _________ respectively.

a)
b)
c)
d)
8.

Quantum mechanical operator, corresponding to physical quantity momentum, is

a)
b)
c)
d)
9.

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

a)
b)
c)
d)
10.

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

a)
b)
c)
d)
11.

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

a)
b)
c)
d)
12.

The energy of a particle is 32 eV, when it's de-Broglie wavelength is 2 Angstrom. If the wavelength is 4 Angstrom, then it's energy becomes

a)

128 eV

b)

64 eV

c)

16 eV

d)

8 eV

13.

X-rays of wavelength 0.8 Angstrom undergo Compton scattering due to electrons. What is the minimum possible value of Compton shift (in Angstrom) if Compton wavelength of electron is 4 Angstrom?

a)

1.6

b)

0.04

c)

0.08

d)

0

14.

If the maximum kinetic energy of the emitted photoelectron is 10 eV, then the stopping potential is

a)

10 Volt

b)

10 Joule

c)

1 eV

d)

10 Volt

15.

The normalized wave function for the given wave function is

a)
b)
c)
d)
16.

The probability of the given wave function in the state psi 5 is given by

a)

1/3

b)
c)

1

d)

!/8

17.

The wave function for a system represented by eigen functions Psi1 Psi 2 and Psi 3 having probabilities 1/2, 1/3 and 1/6 respectively is

a)
b)
c)
d)
18.

The probabilities that a system can be in the states represented by eigen functions Psi 1, Psi 2, Psi 3, Psi 4 and Psi 5 are 0.01, 0.09, 0.16, 0.25 and 0.49 respectively. If the energy eigen values for the above states are 4eV, 6eV, 2eV, 3eV and 1eV respectively, then the energy expectation value is

a)

1 eV

b)

5.2 eV

c)

2.14 eV

d)

16 eV

19.

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

20.

A particle limited to the X-axis has the wave function as given in the image. The probability that the particle can be found between 0.2 to 0.4 is

a)

0.056

b)

0.168

c)

1

d)

0.354

21.

A particle is in 1-d infinitely deep potential well. If its ground state energy is 0.9 eV, then the energy of 3rd excited state is

a)

0.1 eV

b)

2.7 eV

c)

8.1 eV

d)

14.4 eV

22.

An electron is correct up to 0.05 percent while moving with a velocity of 300 m/s. What should be the minimum accuracy for the location of particle?

a)

0.77 m

b)

7.7 cm

c)

0.77 mm

d)

0.05 cm

23.

A particle is described by the wave function as shown in the image. The average position of the particle is

a)

1

b)

0.75

c)

0.5

d)

0.25

24.

A particle is described by the wave function as shown in the image. The uncertainty in momentum is

a)
b)
c)
d)
25.

Ground state energy of electrons trapped completely in an infinite 1-d well region of length 1 Angstrom is 37.65 eV. The amount of energy must be supplied to excite the electrons from 1st excited state to 2nd excited state is

a)

188.25 eV

b)

37.65 eV

c)

9.3125 eV

d)

74.5 eV