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(D) Einstein's photoelectric equation is given by $K_{max} = h
u - \phi_0$,where $K_{max} = eV_s$ ($V_s$ is the stopping potential).$(I)$ The instant

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Statements $I, II$ and $III$ are correct

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(D) Einstein's photoelectric equation is given by $K_{max} = h
u - \phi_0$,where $K_{max} = eV_s$ ($V_s$ is the stopping potential).$(I)$ The instantaneous nature of emission suggests that energy is transferred in discrete packets (photons),supporting the quantum theory.$(II)$ The existence of a threshold frequency $(u_0)$ implies that a photon must have a minimum energy $h
u_0$ to eject an electron,which directly supports the photon model.$(III)$ Since $eV_s = h
u - \phi_0$,the stopping potential $V_s$ is a linear function of frequency $
u$. This confirms the relationship $E = h
u$.$(IV)$ While the photocurrent is proportional to intensity,this is a property of the number of photons and does not specifically prove the energy-frequency relationship of a single photon.Therefore,statements $(I), (II),$ and $(III)$ are the ones that indicate light consists of quanta with energy proportional to frequency.

Similar Questions

When a metal is irradiated by monochromatic light,the maximum kinetic energy of the photoelectrons is $1.2 \ eV.$ If the frequency of the light is increased by $50 \%$,then the maximum kinetic energy of the photoelectrons is $3.6 \ eV.$ Evaluate the work function of the metal.

Light of wavelength $\lambda$ falls on a metal having work function $\frac{hc}{\lambda_0}$. Photoelectric effect will take place only if ($\lambda_0$ is the threshold wavelength).

The photoelectric work function for a metal is $2.4 \ eV$. Among the four wavelengths,the wavelength of light for which photoemission does not take place is: (in $nm$)

Two identical photocathodes receive light of frequencies $f_{1}$ and $f_{2}$ respectively. If the velocities of the photo-electrons emitted are $v_{1}$ and $v_{2}$ respectively,then:

When a metal surface is illuminated by light of wavelengths $400\; nm$ and $250\; nm$,the maximum velocities of the photoelectrons ejected are $v$ and $2v$ respectively. The work function of the metal is ($h =$ Planck's constant,$c =$ velocity of light in air).

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