Threshold frequency of metal is v . If the light of frequency 4v is incident on the metal then the maximum kinetic energy of the emitted photoelectrons will be

Question

Threshold frequency of metal is v . If the light of frequency 4v is incident on the metal then the maximum kinetic energy of the emitted photoelectrons will be (A) 4hv (B) 3hv (C) 5hv (D) (5/2) hv

Tardigrade Admin · Accepted Answer

From Einstein's photoelectric equation the maximum kinetic energy of photoelectrons emitted from metal surface is given by

E_{k} = h v_{1} - W

Where W is work function of metal.
Given,

W = h v

and

v_{1} = 4 v

∴ E_{k} = 4 h v - h v = 3 h v

Q. Threshold frequency of metal is $v$ . If the light of frequency $4 v$ is incident on the metal then the maximum kinetic energy of the emitted photoelectrons will be

$4 h v$

$3 h v$

$5 h v$

$\frac{5}{2} h v$

From Einstein's photoelectric equation the maximum kinetic energy of photoelectrons emitted from metal surface is given by
$E_{k} = h v_{1} - W$
Where W is work function of metal.
Given, $W = h v$ and $v_{1} = 4 v$
$∴ E_{k} = 4 h v - h v = 3 h v$

Q. Threshold frequency of metal is v . If the light of frequency 4v is incident on the metal then the maximum kinetic energy of the emitted photoelectrons will be

4hv

3hv

5hv

25​hv