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Radiations of frequency, (v) are incident on a photosensitive metal. The maximum kineticenergy of photoelectrons is E. When the frequency of the incident radiations is doubled, then whatis the maximum kinetic energy of the photoelectrons?

Question

Radiations of frequency, (v) are incident on a photosensitive metal. The maximum kineticenergy of photoelectrons is E. When the frequency of the incident radiations is doubled, then whatis the maximum kinetic energy of the photoelectrons?

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Solution

The maximum kinetic energy of photoelectrons is given by the equation:

E = h*v - Φ

where: E is the maximum kinetic energy, h is Planck's constant, v is the frequency of the incident radiation, and Φ is the work function of the metal (the minimum energy needed to remove an electron).

When the frequency of the incident radiation is doubled, the equation becomes:

E' = h*2v - Φ

Subtract the first equation from the second to find the change in kinetic energy:

E' - E = h2v - Φ - (hv - Φ) = h*v

So, the maximum kinetic energy of the photoelectrons when the frequency is doubled is twice the initial kinetic energy.

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