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Question

Physics Question on Dual nature of radiation and matter

The work functions for metals A,B and C are respectively 1.92 eV, 2.0 eV and 5 eV. According to Einstein's equation, the metals which will emit photoelectrons for a radiation of wavelength 4100 Å is/are:

A

none

B

A only

C

A and B only

D

all the three metals

Answer

A and B only

Explanation

Solution

Energy of electron with wavelength of 4100A° is
hcλ\frac{hc}{\lambda} = 4.845x10-19J
= 3.024eV
This incident electron would emit photon from metals whose work potential is less than its energy.
so, it would emit photons from metals A and B.

Therefore, the correct option is (C): A and B only