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Light from Balmer Series of Hydrogen is Able to Eject Photoelectrons from a Metal. What Can Be the Maximum Work Function of the Metal? - Physics

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Question

Light from Balmer series of hydrogen is able to eject photoelectrons from a metal. What can be the maximum work function of the metal?

Sum

Solution

Let the maximum work function of the metal be W.

The energy liberated in the Balmer Series (E) is given by 

`E = 13.6(1/n_1^2 - 1/n_2^2)`

For maximum work function, maximum energy of Balmer's series is taken.

Now, n1 = 2, n1 = ∞​

`therefore E = 13.6(1/2^2)`

=` 13.6 xx 1/4 =3.4  eV`

Here,

W = E

Thus, maximum work function of metal is 3.4 eV.

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Chapter 21: Bohr’s Model and Physics of Atom - Exercises [Page 385]

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HC Verma Concepts of Physics Vol. 2 [English] Class 11 and 12
Chapter 21 Bohr’s Model and Physics of Atom
Exercises | Q 39 | Page 385

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