Question 186: Dual Nature of Matter and Radiation

Question

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 :

Accepted Answer

K
1
= $${{hc} \over {500}} - {\phi _0}$$
K
2
= $${{hc} \over {200}} - {\phi _0}$$
$$ \because $$ K
2
= 3K
1
$$ \Rightarrow $$ $$3\left[ {{{hc} \over {500}} - {\phi _0}} \right] = \left[ {{{hc} \over {200}} - {\phi _0}} \right]$$
$$ \Rightarrow $$ $$\phi $$
0
= 0.61 eV

Answer

1.02 eV

Answer

0.81 eV

Answer

0.61 eV

Answer

0.52 eV

Dual Nature of Matter and Radiation

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 :

Choose the correct answer: