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Dual Nature of Radiation and Matter

Photo electronic emission

A metal surface is illuminated by light of two different wavel

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Solving time: 3 mins

A metal surface is illuminated by light of two different wavelengths $248 nm$ and $310 nm$ . The maximum speeds of the photoelectrons corresponding to these wavelengths are $u_{1}$ and $u_{2}$ , respectively. If the ratio $u_{1} : u_{2} = 2 : 1$ and $h c = 1240 eV nm$ , the work-function of the metal is nearly

3.7 eV

3.2 eV

2.8 eV

2.5 eV

Views: 5,467 students

Updated on: Aug 8, 2023

Book:

Optics And Modern Physics (DC Pandey)

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Amelia Discussed

A metal surface is illuminated by light of two different wavelengths

248 nm

and

310 nm

. The maximum speeds of the photoelectrons corresponding to these wavelengths are

u_{1}

and

u_{2}

, respectively. If the ratio

u_{1} : u_{2} = 2 : 1

and

h c = 1240 eV nm

, the work-function of the metal is nearly

5 mins ago

Discuss this question LIVE

5 mins ago

Text solutionVerified

Energy corresponding to

248 nm

wavelength

= \frac{1240}{248} eV = 5 eV

Energy corresponding to

310 nm

wavelength

= \frac{1240}{310} eV = 4 eV

\frac{KE _{1}}{KE _{2}} = \frac{u _{1}^{2}}{u _{2}^{2}} = \frac{4}{1}

= \frac{5 eV - W}{4 eV - W}

\Rightarrow 16 - 4 W = 5 - W

\Rightarrow 11 = 3 W

\Rightarrow W = \frac{11}{3} = 3.67 eV

≅ 3.7 eV

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Question Text	A metal surface is illuminated by light of two different wavelengths $248 nm$ and $310 nm$ . The maximum speeds of the photoelectrons corresponding to these wavelengths are $u_{1}$ and $u_{2}$ , respectively. If the ratio $u_{1} : u_{2} = 2 : 1$ and $h c = 1240 eV nm$ , the work-function of the metal is nearly
Updated On	Aug 8, 2023
Topic	Dual Nature of Radiation and Matter
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 5
Upvotes	523
Avg. Video Duration	6 min

Text solutionVerified

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A metal surface is illuminated by light of two different wavelengths 248 nm and 310 nm. The maximum speeds of the photoelectrons corresponding to these wavelengths are u1​ and u2​, respectively. If the ratio u1​:u2​=2:1 and hc=1240eVnm, the work-function of the metal is nearly

Text solutionVerified

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