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  • A copper ball of radius 1 cm and work function  is irradiated with ultraviolet radiation of wavelength <img

A copper ball of radius 1 cm and work function 4.47eV is irradiated with ultraviolet radiation of wavelength 2500\: \AA . The effect of irradiation results in the emission of electrons from the ball. Further the ball will acquire charge and due to this there will be a finite value of the potential on the ball. The charge acquired by the ball is : 

Option: 1

5.5\times 10^{-13}C

 


Option: 2

7.5\times 10^{-13}C


Option: 3

4.5\times 10^{-12}C


Option: 4

2.5\times 10^{-11}C


Answers (1)

best_answer

 

 

 

 

 

 

\text {Maximum kinetic energy of photoelectron }=\frac{1242}{250}-4.47=0.5 e V

i.e potential on the ball will be 0.5 V

and potential of ball with charge Q will be given as V=\frac{KQ}{r}

So

 \begin{aligned} \therefore 0.5 &=\frac{9 \times 10^{9}*Q}{10^{-2}} \\ \therefore Q &=\frac{1}{18} \times 10^{-11}=5.5 \times 10^{-13} \mathrm{C} \end{aligned}

Posted by

Ajit Kumar Dubey

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