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# If the Work Function of a Metal is 3 Ev, Calculate the Threshold Wavelength of that Metal. - Physics

ConceptParticle Nature of Light

#### Question

If the work function of a metal is 3 eV, calculate the threshold wavelength of that metal.
(Velocity of light = 3 x 108 m/s, Planck’s constant = 6.63 x 10–34 J.s.; 1 eV = 1.6 x 10–19 J)

#### Solution

Given: W0 = 3eV = 3 x1.6 x 10-19
= 4.8 x 10-19 J,
h = 6.63x 10-34 J – s,
e = 1.6 x 10-19 C,
c = 3 x 108 m/s,

To find: Threshold wavelength (λ0),

lambda_0=(hc)/W_0

=(6.63xx10^-34xx3xx10^8)/(4.8xx10^-19)

lambda_0=4.14 xx 10^-7 m

Threshold wavelength of the metal is 4.14 x 10–7 m.

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#### APPEARS IN

2016-2017 (July) (with solutions)
Question 5.2 | 2.00 marks

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Solution If the Work Function of a Metal is 3 Ev, Calculate the Threshold Wavelength of that Metal. Concept: Particle Nature of Light.
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