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Question

Physics Question on de broglie hypothesis

The photoelectric work function for a metal surface is 4.125 eV. The cut-off wavelength for this surface is

A

3000 A˚\mathring{A}

B

2062.5 A˚\mathring{A}

C

4125 A˚\mathring{A}

D

6000 A˚\mathring{A}

Answer

3000 A˚\mathring{A}

Explanation

Solution

ϕ=hv=hcλ\phi =hv= \frac {hc}{λ}
λ=hcϕ=1242eV.nm4.1253000A˚\Rightarrow λ= \frac {hc}{\phi}= \frac {1242 eV.nm}{4.125}\approx 3000 \mathring{A}