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Dual Nature Of Radiation And Matter

Question

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Work function of a metal is 5.2 x 10^-18, then its threshold wavelength will be

736.7 A^o

760.7 A^o

301 A^o

344.4 A^o

Solution

D.

344.4 A^o

Work function W = $\frac{hc}{λ}$

h is Planck's constant

λ is wavelength

c is the speed of light in vacuum

⇒ $λ = \frac{hc}{W}$

⇒ = $\frac{6.6 \times 10^{- 34} \times 3 \times 10^{8}}{5.26 \times 10^{- 18}}$

⇒ λ = 344.4 A^o

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