The kinetic energies of photoelectrons emitted from a metal are K1 and K2 when it is irradiated with lights of wavelength λ1 and λ2 respectively. The work function of the metal is _____.

Given hcλ1−W0=K1 (i)and hcλ2−W0=K2 (ii)Eliminate hc from (i) and (ii), we get: W0 = K1λ1−K2λ2λ2−λ1

The kinetic energies of photoelectrons emitted from a metal are K1 and K2 when it is irradiated with lights of wavelength λ1 and λ2 respectively. The work function of the metal is _____.

Given hcλ1−W0=K1 (i)and hcλ2−W0=K2 (ii)Eliminate hc from (i) and (ii), we get: W0 = K1λ1−K2λ2λ2−λ1

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The kinetic energies of photoelectrons emitted from a metal are K₁ and K₂ when it is irradiated with lights of wavelength $λ_{1}$ and $λ_{2}$ respectively. The work function of the metal is _____.

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$\frac{K_{1} λ_{1} - K_{2} λ_{2}}{λ_{2} - λ_{1}}$

$\frac{K_{1} λ_{1} + K_{2} λ_{2}}{λ_{2} + λ_{1}}$

$\frac{K_{1} λ_{2} - K_{2} λ_{1}}{λ_{2} - λ_{1}}$

$\frac{K_{1} λ_{2} + K_{2} λ_{1}}{λ_{2} + λ_{1}}$

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Detailed Solution

Given $\frac{h c}{λ_{1}} - W_{0} = K_{1}$ (i)

and $\frac{h c}{λ_{2}} - W_{0} = K_{2}$ (ii)

Eliminate hc from (i) and (ii), we get:

$W_{0} = \frac{K_{1} λ_{1} - K_{2} λ_{2}}{λ_{2} - λ_{1}}$

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The kinetic energies of photoelectrons emitted from a metal are K1 and K2 when it is irradiated with lights of wavelength λ1 and λ2 respectively. The work function of the metal is _____.

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The kinetic energies of photoelectrons emitted from a metal are K₁ and K₂ when it is irradiated with lights of wavelength $λ_{1}$ and $λ_{2}$ respectively. The work function of the metal is _____.