Dual Nature of Radiation & Matter

What is the energy of a photon of wavelength 4000 Å? (Take hc = 12400 eV·Å)

A photon has energy 3 keV. What is its linear momentum? (c = 3×10⁸ m/s, e = 1.6×10⁻¹⁹ C)

What is the effective mass of a photon of wavelength 663 nm? (h = 6.63×10⁻³⁴ J·s, c = 3×10⁸ m/s)

A 3 mW laser emits monochromatic light of wavelength 600 nm. How many photons does it emit per second? (h = 6.63×10⁻³⁴ J·s)

A beam of light carrying 3 W of power falls normally on a perfectly absorbing surface. What is the force exerted on the surface? (c = 3×10⁸ m/s)

A beam of light carrying 4.5 W of power falls normally on a perfectly reflecting surface. What is the force exerted on the surface?

Photons of energy 5 eV are incident on a metal of work function 3 eV. What is the stopping potential?

The work function of a metal is 2 eV. What is its threshold wavelength? (hc = 12400 eV·Å)

Light of wavelength 4000 Å falls on a metal of work function 1.1 eV. Find the maximum kinetic energy of the emitted photoelectrons.

Photoelectrons are emitted from a metal (work function 2.5 eV) with maximum kinetic energy 1.5 eV. What is the wavelength of the incident light?

In an experiment, the stopping potential is 0 V at a frequency of 1×10¹⁴ Hz, and rises to 2.07 V at a frequency of 6×10¹⁴ Hz. Using the slope of the V₀–ν graph, estimate Planck's constant. (e = 1.6×10⁻¹⁹ C)

A light beam of power 4 mW and wavelength 500 nm falls on a photocell with quantum efficiency 1%. Find the resulting photoelectric current. (h = 6.63×10⁻³⁴ J·s)

An electron is accelerated from rest through a potential difference of 100 V. What is its de Broglie wavelength? (Use λ = 12.27/√V Å)

An electron moves with a speed of 2.2 × 10⁶ m/s. What is its de Broglie wavelength? (h = 6.63×10⁻³⁴ J·s, mₑ = 9.1×10⁻³¹ kg)

An electron and a proton are each accelerated from rest through the same potential difference. What is the ratio of their de Broglie wavelengths, λₑ/λₚ? (mₚ/mₑ ≈ 1836)

In a Davisson–Germer-type setup, electrons are accelerated through 54 V before striking the crystal. What is their de Broglie wavelength? (Use λ = 12.27/√V Å)

An electron occupies the 4th Bohr orbit of hydrogen, where its de Broglie wavelength is λ. What is the circumference of this orbit?

Light of wavelength 2000 Å falls on a metal surface, and the photoelectrons are stopped by a retarding potential of 3.2 V. Find the work function of the metal. (hc = 12400 eV·Å)