When an electromagnetic radiation of wavelength $310 n m$ falls on the surface of sodium metal, electrons are emitted with $K . E_{m a x} = 1.5 e V$ . Determine the work function $W_{o}$ of metal.

2.5 e V

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5.2 e V

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10.5 e V

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12.5 e V

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Solution

Correct option: (A)
According to Einstein's Photoelectric Equation,
$Energy of photon = Energy needed to remove an electron + K.E of emitted electrons$
$E = W_{o} + K E_{e f f}$
$K E_{m a x} = E - W_{o}$

Step 1:Calculating energy of the photon
Analyzing the given data:
: $K E_{m a x} = 1.5 e V$
$λ = 310 n m = 3100 A^{o}$
Again,
$E (e V) = \frac{12400}{λ (A^{0})} = \frac{12400}{3100} = 4 e V$

Step 2: Calculating work function
Hence from Einstein's Photoelectric equation,
$W_{o} = E - K E_{e f f}$
$W_{o} = (4 - 1.5) e V = 2.5 e V$

Hence, the correct option is (A)

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Photoelectric Effect

Standard XII Chemistry

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When an electromagnetic radiation of wavelength 310 nm falls on the surface of sodium metal, electrons are emitted with K.Emax = 1.5 eV. Determine the work function Wo of metal.

When an electromagnetic radiation of wavelength $310 n m$ falls on the surface of sodium metal, electrons are emitted with $K . E_{m a x} = 1.5 e V$ . Determine the work function $W_{o}$ of metal.