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A photon has an energy of 75eV. Find its...

A photon has an energy of 75eV. Find its frequency and momentum.

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`1.81 xx 10^(16)Hz, 4 xx 10^(-26) kg.m.s^(-1)`
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Einstein established the idea of photons on the basis of Planck's quantum theory. According to his idea, the light of frequency f or wavelength lamda is infact a stream of photons. The rest mass of each photon is zero and velocity is equal to the velocity of light (c) = 3 xx 10^(8) m.s^(-1) . Energy, E = hf, where h = Planck's constant = 6.625 xx 10^(-34)J.s . Each photon has a momentum p = (hf)/(c) , although its rest mass is zero. The number of photons increase when the intensity of incident light increases and vice-versa. On the other hand, according to de Broglie any stream of moving particles may be represented by progressive waves. The wavelength of the wave (de Broglie wavelength) is lamda = (h)/(p) , where p is the momentum of the particle. When a particle having charge e is accelerated with a potential difference of V, the kinetic energy gained by the particle is K= eV. Thus as the applied potential difference is increased, the kinetic energy of the particle and hence the momentum increase resulting in a decrease in the de Broglie wavelength. Given, charge of electron, e = 1.6 xx 10^(-19)C and mass = 9.1 xx 10^(-31) kg . The number of photons emitted per second from a light source of power 40 W and wavelength 5893 Å

CHHAYA PUBLICATION-QUANTUM THEORY-Exercise (Problem Set- I)
  1. For a monochromatic radiation incident on the metal surface, the photo...

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  2. The wavelength of an ultraviolet radiation is 3xx10^(-5)cm. What is th...

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  3. A photon has an energy of 75eV. Find its frequency and momentum.

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  4. Wavelength of some X-ray is 1Å. Determine the energy of the X-ray phot...

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  5. The photon energy of a radiation is 2.55eV. Determine the frequency an...

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  6. How many photons will a source of power 50W produce per second? The wa...

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  7. A red line in the hydrogen spectrum has a wavelength of 6563 Å. Find o...

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  8. The photon energy of a radiation is 1keV. What will be its (i) frequen...

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  9. The photon energy corresponding to a radiation of wavelength 5000 Å is...

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  10. Work function for monlybdenum is 4.2 eV. Determine the threshold wavel...

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  11. Work function for a metal is 1.77 eV and the wavelength of an incident...

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  12. Energy of incident photon on a metal surface is 5.0 eV and photoelectr...

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  13. thresold Wavelength of incident light on a metal surface is 404 Å. Det...

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  14. Stopping poential for the electrons emitted due to incidence of light ...

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  15. For photoelectric emission, threshold wavelength of a metal is 2460 Å....

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  16. The stopping potential of copper is 2.72V for light of wavelength 1849...

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  17. When radiation of wavelength lamda is incidenton a metallic surface, t...

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  18. work function for electronic emission from sodium is 1.77 eV. What is ...

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  19. The work function for electron emission from a metal is 1.9 eV, and t...

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  20. The photoelectric threshold wavelength of radiation incident on its su...

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