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Chemistry Level 2

The work function of a substance is 4 eV 4\text{ eV} . Find (approximately) the longest wavelength of light that can cause photoelectron emission from this substance.

400 nm 400\text{ nm} 540 nm 540\text{ nm} 310 nm 310\text{ nm} 220 nm 220\text{ nm}

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1 solution

Akshat Sharda
May 27, 2016

4 eV = h ν o = h c λ o 4\text{ eV}=h\nu_{o} =\dfrac{hc}{\lambda_{o}}

Here h h is Planck's constant, c c is speed of light, ν o \nu_{o} is threshold frequency and λ o \lambda_{o} is threshold wavelength.

4 eV = 12400 eV A ˚ λ o 4\text{ eV}=\dfrac{12400\text{ eV} \text{Å}}{\lambda_{o}}

Here λ o \lambda_{o} is in Angstrom( A ˚ Å ).

λ o = 3100 A ˚ = 310 nm \therefore \lambda_{o}=3100 \text{ Å}=310\text{ nm}

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