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For a monochromatic radiation incident o...

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

Text Solution

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`8.4 xx 10^(5) m.s^(-1)`
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For a monochromatic radiation incident on the metal surface, the photoelectrons are emitted with a maximum velocity of 10^(6)m.s^(-1) . What will be the stopping potential?

What is the relation between the stopping potential V_(0) and the maximum velocity v_("max") of photoelectrons?

Knowledge Check

  • For a monochromatic light incident on a metal surface, the stopping potential is V. Then the kinetic energy of the fastest photoelectrons emitted from that surface is

    A
    eV
    B
    2eV
    C
    `(2eV)/(m)`
    D
    `sqrt((2eV)/(m))`

  • For two monochromatic radiations incident on the same metal surface, the stopping potentials are 1.0 V and 2.0 V. The ratio between the maximum velocities, of the emitted photoelectrons is

    A
    `2 : 1`
    B
    `sqrt2 : 1`
    C
    `1 : sqrt2`
    D
    `1 : 2`

  • For a monochromatic light incident on a metal surface, the maximum velocity of the emitted photoelectrons is v. Then the stopping potential would be

    A
    `(2mv^(2))/(e)`
    B
    `(mv^(2))/(e)`
    C
    `(mv^(2))/(2e)`
    D
    `(mv^(2))/(sqrt2e)`

    • Similar Questions

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    For a monochromatic light incident on a metal surface, the maximum velocity of emitted photoelectrons is v. Then the stopping potential would be

    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?

    For a monochromatic light incident on a metal surface, the maximum velocity of the emitted photoelectrons is v. Then the stopping potential would be

    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 stopping potential in case of incident ultravilet ray of wavelength 1800 Å (in V) is

    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

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