What is work function of metal?

Chemistry Level 2

When light of frequency 8.6 × 1 0 14 8.6 \times 10^{14} Hz is incident on metal surface area, the maximum kinetic energy of photoelectrons is 0.500 eV. What is the work function of metal?

3.5 eV 3.8 eV 3.1 eV 4.3 eV 4.1 eV 0.5 eV

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2 solutions

Einstein's photoelectric equation -

h ν = K . E . p h o t o e l e c t r o n + W 0 h\nu=K.E._{photoelectron}+W_0 , where W 0 W_0 is the work function of the target, h = 6.627 × 1 0 34 h=6.627\times 10^{-34} J-s is the Planck's constant. Given ν = 8.6 × 1 0 14 \nu=8.6\times 10^{14} Hz. So h ν = 56.9922 × 1 0 20 h\nu=56.9922\times 10^{-20} Joules = 56.9922 × 1 0 20 1.59 × 1 0 19 3.562 =\dfrac{56.9922\times 10^{-20}}{1.59\times 10^{-19}}\approx 3.562 eV. Therefore W 0 = 3.562 0.500 = 3.062 3.1 W_0=3.562-0.500=3.062\approx \boxed {3.1} eV.

Winod Dhamnekar
Mar 16, 2020

K E m a x = h f ϕ ϕ = ( 4.14 × 1 0 15 e V s 8.6 × 1 0 14 KE_{max}=hf-\phi \Rightarrow \phi=(4.14\times 10^{-15} eVs* 8.6\times 10^{14} Hz s 1 ) 0.5 e V s = 3.1 e V s s^{-1})-0.5 eVs=3.1 eVs

this question is of mains 2020 na?

VANSH SARDANA - 1 year, 2 months ago

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