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  4. When the wavelength of radiation falling on a metal is changed from 500 nm to 200 nm , the maximum kinetic energy of the photoelectrons becomes three times larger. The work function of the metal is close to :

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Q. When the wavelength of radiation falling on a metal is changed from $500 nm$ to $200 nm ,$ the maximum kinetic energy of the photoelectrons becomes three times larger. The work function of the metal is close to :

JEE MainJEE Main 2020Dual Nature of Radiation and Matter

Solution:

$\frac{3}{1}=\frac{\frac{ hc }{200 \,nm }-\phi}{\frac{ hc }{500\, nm }-\phi}$,
$hc =1240 eV - nm$
On solving $\phi=0.61 eV$