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The maximum kinetic energy of photoelect...

The maximum kinetic energy of photoelectrons emitted from a metal surface increses from 0.4 eV to 1.2 eV when the frequency of the incident radiation is increased by 40% . What is the work function (in eV) of the metal surface?

Text Solution

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The correct Answer is:
1.6
According to Einstein.s photoelectric equation,
`hv=K.E. +phi_(0)`
Initially,
`hv= 0.4 +phi_(0)" "...(i)`
When frequency is increased by 40%
`1.4hv=1.2 +phi_(0)" " ...(ii)`
Subtracting equation (i) from equation (ii),
`1, 4hv – hv = 1,2 – 0,4`
`:.0.4hv=0.8`
`:.hV=2" " ...(iii)`
From equations (i) and (iii),
`2=0.4 +phi_(0)`
`:.phi_(0)=2-0.4 =1.6eV`
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Knowledge Check

  • The kinetic energy of the most energetic photoelectrons emitted from a metal surface is doubled when the wavelength of the incident radiation is reduced from lamda_1 " to " lamda_2 The work function of the metal is

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