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For a monochromatic radiation incident on a metal surface, the stopping potential is 2.0V. Find out the maximum velocity of the emitted photoelectrons.

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`8.4 xx 10^(5) m.s^(-1)`
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When radiation of wavelength lamda is incidenton a metallic surface, the stopping potential is 4.8V. If the same surface is illuminated with radiation of double the wavelength, the stopping potential becomes 1.6V. What is the threshold wavelength for the surface?

Einstein's equation for photoelectric effect is E_("max") = hf - W_(0) , where h = Planck's constant = 6.625 xx 10^(-34) J.s, f = frequency of light incident on metal surface, W_(0) = work function of metal and E_("max") = maximum kinetic energy of the emitted photoelectrons. It is evident that if the frequency f is less than a minimum value f_(0) or if the wavelength lamda is greater than a maximum value lamda_(0) , the value of E_("max") would be negative, which is impossible. Thus for a particular metal surface f_(0) is the threshold frequency and lamda_(0) is the threshold wavelength for photoelectric emssion to take place. Again if the collector plate is ketp at a negative potential with respect to the emitter plate, the velocity of the photoelectrons would decrease. The minimum potential for which the velocity of the speediest electron becoes zero, is known as the stopping potential, the photoelectric effect stops for a potential lower than this. [velocity of light = 3xx 10^(8) m.s^(-1) , mass of an electron m = 9.1 xx 10^(-31) kg , charge of an electron, e = 1.6 xx 10^(-19)C The threshold wavelength of photoelectric effect for a metal surface is 4600 Å . Work function of the metal (in eV) is

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

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  2. For a monochromatic radiation incident on the metal surface, the photo...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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