Sum
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)
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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.
Concept: Particle Nature of Light
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