The frequency of photon having momentum 4.42 x 10^-26 Ns is:
Correct answer: A. 2.00 x 10^16Hz
- A. 2.00 x 10^16Hz
- B. 2.00 x 10^14 Hz
- C. 5.00 x 10^16Hz
- D. 2.00 x 10^18 Hz
Explanation
Where h is planck's constant whose value is 6.6x10^-34J.s = 6.6x10^-34/4.42x10^-26 =1.5x10^-8m Now finding frequency of photon: 𝞴xf=c c , speed of photon is speed of light f=c/𝞴 Using de broglie's wavelength 𝞴=h/mvWhere h is planck's constant whose value is 6.6x10-³⁴J.s = 6.6x10-³⁴/4.42x10-²⁶ =1.5x10-⁸mNow finding frequency of photon:𝞴xf=cc , speed of photon is speed of lightf=c/𝞴 =3x10⁸/1.5x10-⁸ =2x10¹⁶Hz The answer is A.
This question appeared on the UHS MDCAT 2017 paper, which you can sit online with every answer explained.
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About Photons and the Particle Model of Light
The particle model treats light as photons with energy E equals hf and momentum related to wavelength. Questions involve the photoelectric effect, work function, threshold frequency, stopping potential and photon energy, while distinguishing particle behaviour from the wave description of interference and diffraction.
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