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Radiation of wavelength lambda is incident on a photocell. The fastest emitted electron has speed υ . If the wavelength is changed to 3λ/4 , the speed of the fastest emitted electron will be:
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Explanation:
The kinetic energy can be written as
E1=hc/λ-ϕ where λ is the wavelength of radiation ϕ is the working function of the photocell.
⇒1/2 mu2=hc/λ-ϕ
Now the wavelength 3λ/4.
So the kinetic energy
E2=hc/(3λ/4)-ϕ
⇒E2=4hc/3λ-ϕ
⇒1/2 mu22=4hc/3λ-ϕ
E2>4/3 E1 so u2>u(4/3)1/2
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