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  • Two streams of photons, possessing energies equal to five and ten times the work function of metal are incident on the metal surface successively. The ratio of maximum velocities of the photoelectr

Two streams of photons, possessing energies equal to five and ten times the work function of metal are incident on the metal surface successively. The ratio of maximum velocities of the photoelectron emitted, in the two cases respectively,
will be
 

Option: 1

1: 2


Option: 2

1: 3


Option: 3

2: 3


Option: 4

3: 2


Answers (1)

best_answer

\mathrm{hf_{1} =5 \phi_o= Energy\: of \: 1 st \: stream\: of\: photons }

\mathrm{h f_2=10 \phi_0= Energy \: of \: 2^{\text {nd }}\: stream\: of \: photons}

From the Einstain's photoelectric equation,

\mathrm{ h f=\phi_0+\frac{1}{2} m v^2 }
For first stream of photons,

\mathrm{h f_1= 5 \phi_0=\phi_0+\frac{1}{2} m v_1^2 }

\mathrm{ 4 \phi_0=\frac{1}{2} m v_1^2 \rightarrow \text { (1) }}
For second stream of photons,

\mathrm{h f_2=10 \phi_0 =\phi_0+\frac{1}{2} m v_2^2 }

\mathrm{9 \phi_0 =\frac{1}{2} m v_2^2 \rightarrow(2)}

\mathrm{\frac{4}{9}=\frac{V^{2}_{1}}{V^{2}_{2}}}

\mathrm{\frac{V_{1}}{V_{2}}=\frac{2}{3}}

Hence 3 is correct option.



 

Posted by

vishal kumar

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