Dual Nature of Radiation and Matter

Which one of the following statements best illustrates the wave-particle duality of light?

1. Light exhibits only wave nature.
2. Light exhibits only particle nature.
3. Light exhibits wave nature in interference and particle nature in the photoelectric effect.
4. Light behaves as a particle only in vacuum.

An electron and a proton have the same kinetic energy. Which one has the larger de Broglie wavelength?

1. Proton
2. Electron
3. Both have the same wavelength
4. Cannot be determined

Which statement correctly explains why photoelectric emission does not occur below the threshold frequency, regardless of the intensity of light?

1. The intensity is insufficient to heat the metal.
2. Individual photons do not possess the minimum required energy.
3. The emitted electrons collide with each other.
4. The work function decreases with increasing intensity.

The stopping potential required to stop the photoelectrons is 2.5 V. The maximum kinetic energy of the emitted photoelectrons is:

1. 1.25 eV
2. 2.5 eV
3. 5.0 eV
4. 10 eV

The threshold wavelength of a metal is 400 nm. Photoelectric emission will occur when the incident light has a wavelength of:

1. 450 nm
2. 500 nm
3. 400 nm
4. 350 nm

In a photoelectric experiment, the frequency of the incident light is doubled while its intensity remains unchanged. The maximum kinetic energy of the emitted photoelectrons will:

1. Remain unchanged
2. Increase
3. Decrease
4. Become zero

The de Broglie wavelength of a particle increases if:

1. Its momentum increases
2. Its velocity increases
3. Its mass increases
4. Its momentum decreases

The Davisson–Germer experiment provided experimental verification of:

1. Maxwell's electromagnetic theory
2. Newton's corpuscular theory
3. de Broglie's hypothesis
4. Einstein's theory of relativity

The momentum of a photon of wavelength λ is given by:

1. p = hλ
2. p = h/λ
3. p = hc/λ
4. p = λ/h

The work function of a metal is 2.2 eV. The threshold frequency is approximately: (Given: 1 eV = 1.6 × 10^(-19) J, h = 6.63 × 10^(-34) J s)

1. 3.5 × 10^14 Hz
2. 4.8 × 10^14 Hz
3. 5.3 × 10^14 Hz
4. 8.0 × 10^14 Hz

The de Broglie wavelength associated with a moving particle is given by:

1. λ = mv/h
2. λ = h/mv
3. λ = hc/E
4. λ = E/h

The stopping potential in a photoelectric experiment depends primarily on:

1. Intensity of incident light
2. Area of the metal surface
3. Frequency of incident light
4. Number of emitted electrons

According to Einstein's photoelectric equation, increasing the intensity of incident light while keeping its frequency above the threshold frequency unchanged will:

1. Increase the maximum kinetic energy of photoelectrons
2. Increase the number of emitted photoelectrons
3. Increase the stopping potential
4. Increase the work function

The work function of a metal is 2.5 eV. Which of the following incident photon energies will produce photoelectric emission?

1. 1.5 eV
2. 2.0 eV
3. 2.5 eV
4. 3.0 eV

Light of frequency 8 × 10^14 Hz falls on a metal surface whose threshold frequency is 5 × 10^14 Hz. If Planck's constant is 6.63 × 10^(-34) J s, the maximum kinetic energy of the emitted photoelectrons is:

1. 9.95 × 10^(-20) J
2. 1.99 × 10^(-19) J
3. 3.98 × 10^(-19) J
4. 5.30 × 10^(-19) J