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Karnataka Board PUCPUC Science Class 11

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

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

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HC Verma Concepts of Physics Volume 1 and 2 [English]
Chapter 43 Bohr’s Model and Physics of Atom
Exercises | Q 39 | Page 385

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