(C) The energy of the photon emitted during the transition from $n=2$ to $n=1$ is given by:$E = E_2 - E_1 = -\frac{13.6}{2^2} - (-\frac{13.6}{1^2}) =

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(C) The energy of the photon emitted during the transition from $n=2$ to $n=1$ is given by:$E = E_2 - E_1 = -\frac{13.6}{2^2} - (-\frac{13.6}{1^2}) = -3.4 + 13.6 = 10.2 \ eV$.According to Einstein's photoelectric equation:$E = \phi + K_{max}$, where $\phi$ is the work function and $K_{max} = eV_s$ is the maximum kinetic energy.$10.2 \ eV = 4.2 \ eV + eV_s$.$eV_s = 10.2 \ eV - 4.2 \ eV = 6.0 \ eV$.Therefore, the stopping potential $V_s = 6 \ V$.

Class 12 Physics Dual Nature of Radiation and Matter Einstein's Photoelectric Equation and Energy Quantum of Radiation

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An electron in a Hydrogen atom jumps from the second Bohr orbit to the ground state, and the difference between the energies of the two states is radiated in the form of a photon. This photon strikes a material. If the work function of the material is $4.2 \ eV$, then the stopping potential is (Energy of electron in $n$-th orbit $= -\frac{13.6}{n^2} \ eV$). (in $V$)

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$2$
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$4$
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$6$
D
$8$

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Class 12

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Dual Nature of Radiation and Matter

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Einstein's Photoelectric Equation and Energy Quantum of Radiation

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Light of frequency $4v_0$ is incident on a metal surface with a threshold frequency $v_0$. The maximum kinetic energy of the emitted photoelectrons is:

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When radiation of wavelength $\lambda$ is incident on a metallic surface,the stopping potential of ejected photoelectrons is $4.8 \, V$. If the same surface is illuminated by radiation of double the previous wavelength,then the stopping potential becomes $1.6 \, V$. The threshold wavelength of the metal is $... \lambda$.

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Ultraviolet light of wavelength $300 \ nm$ and intensity $1.0 \ W/m^2$ is incident on the surface of a photosensitive material. If $1\%$ of the incident photons produce photoelectrons,the number of photoelectrons emitted from an area of $1.0 \ cm^2$ of the surface is:

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The stopping potential required to reduce the photoelectric current to zero is . . . . . .

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Two identical photocathodes receive light of frequencies $n_1$ and $n_2$. If the velocities of the emitted photoelectrons of mass $m$ are $V_1$ and $V_2$ respectively, then ($h$ = Planck's constant)

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Light of frequency $4v_0$ is incident on a metal surface with a threshold frequency $v_0$. The maximum kinetic energy of the emitted photoelectrons is:

Ultraviolet light of wavelength $300 \ nm$ and intensity $1.0 \ W/m^2$ is incident on the surface of a photosensitive material. If $1\%$ of the incident photons produce photoelectrons,the number of photoelectrons emitted from an area of $1.0 \ cm^2$ of the surface is:

The stopping potential required to reduce the photoelectric current to zero is . . . . . .

Two identical photocathodes receive light of frequencies $n_1$ and $n_2$. If the velocities of the emitted photoelectrons of mass $m$ are $V_1$ and $V_2$ respectively, then ($h$ = Planck's constant)

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