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  • Help me please, - Dual Nature of Matter and Radiation - JEE Main-4

The stopping potential V_{0} (in volt) as a function of frequency (v) for a sodium emitter, is shown in the figure. The work function of sodium, from the data plotted in the figure, will be :

(Given : Planck's constant (h)=6.63\times10^{-34}Js, electron charge e=1.6\times10^{-19}C

  • Option 1)

    2.12eV

  • Option 2)

    1.66eV

  • Option 3)

    1.82eV

  • Option 4)

    1.95eV

 

Answers (1)

best_answer

 

Experimental set up of photoelectric effect and work function -

The minimum energy of incident radiation required to eject electron from metal surface is work function

- wherein

w= h\nu _{0}= \frac{hc}{\lambda _{0}}

\nu _{0}\rightarrow threshold\: frequency

\lambda _{0}\rightarrow threshold\: wavelength

 

 

From the graph, V threshold = 4\times10^{14}Hz

                                        W=\frac{hV_{th}}{e}

                                        W=\frac{6.63\times10^{-34}\times4\times10^{14}}{1.6\times10^{-19}}=1.66eV


Option 1)

2.12eV

Option 2)

1.66eV

Option 3)

1.82eV

Option 4)

1.95eV

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