The momentum of a photon is 3.3×10−29 kg−m/sec. Its frequency will be
Correct answer: D. 1.5×10^13 Hz
- A. 7.5×10^12 Hz
- B. 6×10^3 Hz
- C. 3×10^3 Hz
- D. 1.5×10^13 Hz
Explanation
Correct. Here's the calculation:Relationship between momentum and wavelength:p = h/λ, where p is momentum, h is Planck's constant (6.626 × 10⁻³⁴ J·s), and λ is wavelength.Calculate the wavelength (λ):λ = h/p = (6.626 × 10⁻³⁴ J·s) / (3.3 × 10⁻²⁹ kg·m/s) ≈ 2 × 10⁻⁵ mRelationship between wavelength and frequency:c = λf, where c is the speed of light (3 × 10⁸ m/s) and f is frequency.Calculate the frequency (f):f = c/λ = (3 × 10⁸ m/s) / (2 × 10⁻⁵ m) = 1.5 × 10¹³ Hz
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About Dawn of Modern Physics
Classical physics cannot explain blackbody radiation and related observations, leading to Planck’s quantum theory, in which energy is emitted or absorbed in discrete packets. Photons provide the particle model of light, with energy and momentum linked to frequency and wavelength, including the photoelectric effect and its threshold frequency.
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