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प्रश्न
Write Einstein’s photoelectric equation?
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उत्तर
Einstein’s photoelectric effect equation:
(NOTE: Use any one of three given equations)
hv = φ0 + K.E
where, h = Planck's constant, v = frequency of the incomig photons
φ0 = work function of the material and K.E = kinetic energy of the emitted electrons
or
`hv = phi_0 + 1/2 mv_max^2 `=
where,h = Planck's constant,v = frequency of the incoming photons
φo = work function of the material, 1/2 mv_max^2`kinetic energy of the emitted electrons
Vmax = maximum velocity of emitted electron
or
`1/2 mv_max^2 = h(v - v_o)`
where h = Planck's constant, v = frequency of the incoming photons
vo = threshold frequency, `1/2 mv_max^2= ` kinetic energy of the emitted electrons
vmax = maximum velocity of emitted electron
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संबंधित प्रश्न
Plot a graph showing the variation of photoelectric current with collector plate potential at a given frequency but for two different intensities I1 and I2, where I2 > I1.
The electric field at a point associated with a light wave is `E = (100 "Vm"^-1) sin [(3.0 xx 10^15 "s"^-1)t] sin [(6.0 xx 10^15 "s"^-1)t]`.If this light falls on a metal surface with a work function of 2.0 eV, what will be the maximum kinetic energy of the photoelectrons?
(Use h = 6.63 × 10-34J-s = 4.14 × 10-15 eV-s, c = 3 × 108 m/s and me = 9.1 × 10-31kg)
Use Einstein's photoelectric equation to show how from this graph,
(i) Threshold frequency, and
(ii) Planck's constant can be determined.
According to Einstein's photoelectric equation, the plot of the kinetic energy of the emitted photoelectrons from a metal versus the frequency of the incident radiation gives a straight line, whose slope ______.
Each photon has the same speed but different ______.
The minimum energy required to remove an electron is called ______.
The wavelength of a photon needed to remove a proton from a nucleus which is bound to the nucleus with 1 MeV energy is nearly ______.
A student performs an experiment on photoelectric effect, using two materials A and B. A plot of Vstop vs ν is given in Figure.
- Which material A or B has a higher work function?
- Given the electric charge of an electron = 1.6 × 10–19 C, find the value of h obtained from the experiment for both A and B.
Comment on whether it is consistent with Einstein’s theory:
The photon emitted during the de-excitation from the first excited level to the ground state of a hydrogen atom is used to irradiate a photocathode in which the stopping potential is 5 V. Calculate the work function of the cathode used.
If c is the velocity of light in free space, the correct statements about photon among the following are:
- The energy of a photon is E = hv.
- The velocity of a photon is c.
- The momentum of a photon, ρ = `(h v)/c`
- In a photon-electron collision, both total energy and total momentum are conserved.
- Photon possesses positive charge.
Choose the correct answer from the options given below:
