(C) From the given $I - V$ curve,the stopping potential $V_s = 5 \, V$ and the saturation current $I_s = 10 \, \mu A = 10^{-5} \, A$.The energy of inc

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(C) From the given $I - V$ curve,the stopping potential $V_s = 5 \, V$ and the saturation current $I_s = 10 \, \mu A = 10^{-5} \, A$.The energy of incident photons is given by Einstein's photoelectric equation:$E = h\nu = eV_s + \phi_0$$E = 5 \, eV + 2 \, eV = 7 \, eV$.The saturation current is related to the power $P$ of the incident light by:$I_s = \eta \times \left( \frac{P}{E} \right) \times e$where $\eta$ is the efficiency of photoemission $= 10^{-3} \% = 10^{-5}$.Substituting the values:$10^{-5} = 10^{-5} \times \left( \frac{P}{7 \, eV} \right) \times e$$1 = \frac{P}{7 \, eV} \times e$$1 = \frac{P}{7}$$P = 7 \, W$.

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

Medium

In the photoelectric experiment,if we use a monochromatic light,the $I - V$ curve is as shown. If the work function of the metal is $2 \, eV$,estimate the power of light used in $W$.
(Assume efficiency of photoemission $= 10^{-3} \%$,i.e.,the number of photoelectrons emitted is $10^{-3} \%$ of the number of photons incident on the metal.)

A
$2$
B
$5$
C
$7$
D
$10$

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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

Light from a hydrogen discharge tube is incident on the cathode of a photoelectric cell. The work function of the cathode surface is $4.2 \ eV$. In order to reduce the photo-current to zero,the voltage of the anode relative to the cathode must be made ........... $V$.

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The wave equation of an electric field at a point is $E = 100 \frac{V}{m} [\sin(7 \omega t) + \cos(10 \omega t) + \cos(15 \omega t)]$ at instant $t$. If the work function of the photocell is $\phi$,then the stopping potential is:

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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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When electromagnetic radiation is incident on a metallic surface,the maximum kinetic energy of the photoelectrons depends on .......

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The surface of a metal is first illuminated with a light of wavelength $300 \ nm$ and later illuminated by another light of wavelength $500 \ nm$. It is observed that the ratio of maximum velocities of photoelectrons in the two cases is $3$. The work function of the metal is close to: (in $eV$)

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Light from a hydrogen discharge tube is incident on the cathode of a photoelectric cell. The work function of the cathode surface is $4.2 \ eV$. In order to reduce the photo-current to zero,the voltage of the anode relative to the cathode must be made ........... $V$.

The wave equation of an electric field at a point is $E = 100 \frac{V}{m} [\sin(7 \omega t) + \cos(10 \omega t) + \cos(15 \omega t)]$ at instant $t$. If the work function of the photocell is $\phi$,then the stopping potential 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:

When electromagnetic radiation is incident on a metallic surface,the maximum kinetic energy of the photoelectrons depends on .......

The surface of a metal is first illuminated with a light of wavelength $300 \ nm$ and later illuminated by another light of wavelength $500 \ nm$. It is observed that the ratio of maximum velocities of photoelectrons in the two cases is $3$. The work function of the metal is close to: (in $eV$)

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