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Dual Nature of Radiation and Matter

Maharashtra Board · Class 12 · Physics

Flashcards for Dual Nature of Radiation and Matter — Maharashtra Board Class 12 Physics. Quick Q&A cards covering key concepts, definitions, and formulas.

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Card 1Photoelectric Effect

What is the photoelectric effect? State the key observation that classical wave theory could not explain.

Answer

The photoelectric effect is the phenomenon of emission of electrons from a metal surface when electromagnetic radiation of appropriate frequency is incident on it. The key observation that classical w

Card 2Work Function

Define work function of a metal. What is its unit and typical range for common metals?

Answer

Work function (φ₀) is the minimum amount of energy required to remove an electron from the surface of a metal. Unit: electron volt (eV) or Joule (J). Typical range: 2-5 eV for common metals. For examp

Card 3Einstein's Photoelectric Equation

State Einstein's photoelectric equation and explain each term.

Answer

Einstein's photoelectric equation: KEₘₐₓ = hν - φ₀ Where: • KEₘₐₓ = maximum kinetic energy of photoelectrons • h = Planck's constant (6.626 × 10⁻³⁴ J·s) • ν = frequency of incident radiation • φ₀ = wo

Card 4Threshold Frequency

What is threshold frequency? Derive the expression for threshold frequency.

Answer

Threshold frequency (ν₀) is the minimum frequency of incident radiation below which no photoelectrons are emitted. At threshold frequency, KEₘₐₓ = 0. From Einstein's equation: 0 = hν₀ - φ₀ Therefore:

Card 5Numerical Problems

Calculate the threshold wavelength for zinc if its work function is 3.6 eV. (Given: h = 6.626 × 10⁻³⁴ J·s, c = 3 × 10⁸ m/s)

Answer

Given: φ₀ = 3.6 eV = 3.6 × 1.6 × 10⁻¹⁹ J = 5.76 × 10⁻¹⁹ J Threshold frequency: ν₀ = φ₀/h = (5.76 × 10⁻¹⁹)/(6.626 × 10⁻³⁴) = 8.69 × 10¹⁴ Hz Threshold wavelength: λ₀ = c/ν₀ = (3 × 10⁸)/(8.69 × 10¹⁴) = 3

Card 6Stopping Potential

What is stopping potential? Derive the relation between stopping potential and incident frequency.

Answer

Stopping potential (V₀) is the minimum retarding potential that stops the most energetic photoelectrons from reaching the collector. At stopping potential: KEₘₐₓ = eV₀ From Einstein's equation: eV₀ =

Card 7Numerical Problems

Light of wavelength 4000 Å falls on a potassium surface (work function = 2.3 eV). Calculate the maximum kinetic energy and stopping potential.

Answer

Given: λ = 4000 Å = 4 × 10⁻⁷ m, φ₀ = 2.3 eV Photon energy: E = hc/λ = (6.626 × 10⁻³⁴ × 3 × 10⁸)/(4 × 10⁻⁷) = 4.97 × 10⁻¹⁹ J = 3.11 eV Maximum kinetic energy: KEₘₐₓ = E - φ₀ = 3.11 - 2.3 = 0.81 eV Stop

Card 8Photon Properties

What is a photon? State its properties.

Answer

A photon is a quantum of electromagnetic energy. Properties of photons: 1. Energy E = hν 2. Momentum p = h/λ = E/c 3. Rest mass = 0 4. Always travels at speed of light c 5. Electrically neutral 6. Can

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