Calculate the wavelength of photon associated with 3.1 x 10^14 Hz frequency.
Correct answer: C. 1 micrometer
- A. 10 micrometer
- B. 100 micrometer
- C. 1 micrometer
- D. 2 micrometer
Explanation
A photon's speed is 3x108 m/s (as it is the fundamental particle of light, and this is light's speed), and since the velocity of a wave is equal to the product of its wavelength and frequency, speed can be divided by frequency (given in the question) to get wavelength, which is 1 micrometre here.The wavelength of an electromagnetic wave can be calculated using the formula:wavelength = speed of light/frequencywhere speed of light = 3 x 108 m/sSubstituting the given frequency f = 3 x 1014 Hz, we get:wavelength = 3 x 108 / 3 x 1014wavelength = 1 x 10-6 mTherefore, the wavelength of the electromagnetic wave is 1 micrometre.
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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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