Unit 4: Quantum Mechanics - Practice Quiz

1 Which experiment historically established the particle nature of light?

2 According to Planck's hypothesis, energy is emitted or absorbed in discrete packets called quanta. The energy of a quantum is given by:

3 In the photoelectric effect, the minimum energy required to remove an electron from the surface of a metal is called:

4 The Einstein's photoelectric equation is given by (where is maximum kinetic energy, is frequency, and is work function):

5 The de Broglie wavelength associated with a particle of momentum is given by:

6 If the velocity of a particle is doubled, its de Broglie wavelength will:

7 The de Broglie wavelength of an electron accelerated through a potential difference of volts is approximately given by:

8 Which of the following bodies will have the shortest de Broglie wavelength if they all move with the same velocity?

9 The de Broglie wavelength of a gas molecule at absolute temperature is given by:

10 The Heisenberg Uncertainty Principle states that the product of uncertainties in position () and momentum () is always:

11 Why is the wave nature of a moving cricket ball not observed in daily life?

12 The Heisenberg uncertainty principle explains why:

13 Another form of Heisenberg's uncertainty principle relates Energy () and Time () as:

14 The velocity with which the envelope of a wave packet moves is called:

15 The phase velocity () is given by the relation:

16 For a non-relativistic material particle, the relation between group velocity () and particle velocity () is:

17 The phase velocity of matter waves associated with a particle moving with velocity is:

18 In a non-dispersive medium, the relationship between phase velocity () and group velocity () is:

19 The wave function in quantum mechanics represents:

20 The quantity represents:

21 For a wave function to be well-behaved, it must be:

22 The normalization condition for a wave function over all space is:

23 The operator for momentum () in one dimension is:

24 The operator for total energy (Hamiltonian ) in the time-independent Schrodinger equation is:

25 Schrodinger's time-independent wave equation in one dimension is:

26 For a particle in a one-dimensional box of length with infinite potential walls, the potential inside the box () is:

27 The wave function for a particle in a 1D box of width is given by (where is an integer):

28 The energy eigenvalues for a particle in a 1D box of length are given by:

29 The lowest possible energy (Zero Point Energy) for a particle in a box corresponds to:

30 Which of the following statements is true for a particle in a box?

31 The spacing between energy levels for a particle in a box:

32 In the Quantum Tunneling effect, a particle can cross a potential barrier even if:

33 The probability of tunneling decreases exponentially with:

34 Which device works on the principle of quantum tunneling?

35 The phenomenon of Alpha decay in radioactive nuclei is explained by:

36 The Compton effect provides experimental evidence for:

37 The Davisson-Germer experiment confirmed the:

38 If the size of the box () is doubled, the ground state energy of the particle becomes:

39 In the time-dependent Schrodinger equation , the energy operator corresponds to:

40 A 'node' in a wave function is a point where:

41 How many nodes (excluding boundaries) does the -th state wave function of a particle in a box have?

42 Two wave functions and are said to be orthogonal if:

43 The failure of classical mechanics to explain the spectral distribution of blackbody radiation at short wavelengths is known as:

44 In the macroscopic limit (large quantum numbers), quantum mechanics results approach classical mechanics results. This is known as:

45 The momentum of a photon of frequency is:

46 If the uncertainty in position of a particle is zero, the uncertainty in its momentum is:

47 The stopping potential in a photoelectric experiment depends on:

48 Increasing the intensity of incident light in a photoelectric experiment increases:

49 Matter waves are:

50 The wavelength of a electron is approximately: