Photoelectric effect; Hertz and Lenard's observations; Einstein's photoelectric equation; particle nature of light; matter waves; de Broglie wavelength; Davisson-Germer experiment.
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Q1 · Dual Nature of Matter and Radiation · EASY
Light of wavelength 4000 Å falls on a metal surface having work function 2.0 eV. What is the maximum kinetic energy of the emitted photoelectrons? (Take h = 6.63 × 10^-34 J·s, c = 3 × 10^8 m/s, 1 eV = 1.6 × 10^-19 J)
Q2 · Dual Nature of Matter and Radiation · MEDIUM
An electron is accelerated through a potential difference of 100 V. What is its de Broglie wavelength? (Take h = 6.63 × 10^-34 J·s, m_e = 9.1 × 10^-31 kg, e = 1.6 × 10^-19 C)
Q3 · Dual Nature of Matter and Radiation · MEDIUM
In a photoelectric experiment, the stopping potential for light of wavelength 400 nm is 1.0 V. If the wavelength is changed to 300 nm, what will be the new stopping potential? (Take hc/e = 1240 eV·nm)
Q4 · Dual Nature of Matter and Radiation · HARD
A proton and an alpha particle are accelerated through the same potential difference. What is the ratio of their de Broglie wavelengths (λ_proton / λ_alpha)? (Mass of proton = m_p, mass of alpha particle = 4m_p, charge of proton = e, charge of alpha = 2e)
Q5 · Dual Nature of Matter and Radiation · MEDIUM
The threshold frequency for a certain metal is 5 × 10^14 Hz. If light of frequency 8 × 10^14 Hz is incident on this metal, what is the maximum velocity of emitted photoelectrons? (Take h = 6.63 × 10^-34 J·s, m_e = 9.1 × 10^-31 kg)