Hold at rest

Find the maximum wavelength of light in nano-meters that can cause photoelectric effect in silver? Enter the integer part of your answer.


Details And Assumptions:

  • Planck's constant = 4.14 × 1 0 15 eVs = 4.14 \times 10^{-15} \text{ eVs} .

  • Speed of light = 3 × 1 0 8 m s 1 =3\times 10^{8} \text{ m s}^{-1} .

  • Work function of silver = 4.7 eV =4.7 \text{ eV} .


The answer is 264.

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1 solution

Rachit Shukla
Nov 21, 2015

According to Einstein's Photoelectric Effect ,

K_\max = h\,f - \varphi

For maximum wavelength, K.E. should be minimum. ( K . E . = 0 ) (K.E.=0)

\Rightarrow h f = φ h\,f = \varphi

\Rightarrow h c λ = φ \frac {hc}{\lambda}=\varphi

\Rightarrow 4.14 × 1 0 15 × 3 × 1 0 8 λ = 4.7 \frac {4.14\times10^{-15}\times3\times10^8}{\lambda}=4.7

\Rightarrow λ 2.642 × 1 0 7 m \lambda\approx2.642\times10^{-7}m

λ 264.2 n m \therefore \lambda\approx264.2 nm

A n s : 264 \boxed{Ans: 264}

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