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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