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The Light Emitted in the Transition N = 3 to N = 2 in Hydrogen is Called Hα Light. Find the Maximum Work Function a Metal

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प्रश्न

The light emitted in the transition n = 3 to n = 2 in hydrogen is called Hα light. Find the maximum work function a metal can have so that Hα light can emit photoelectrons from it.

योग
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उत्तर

The Hα light can emit the photoelectrons if its energy is greater than or equal to the work function of the metal.

Energy possessed by Hα light (E) is given by

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

`Here , n_1 = 2 , n_2 = 3`

`therefore E = 13.6 xx (1/4 - 1/4 )`
                 = `(13.6xx5)/36 = 1.89  eV`
                 = 1.90 eV

 Hα light will be able to emit electron from the metal surface for the maximum work function of metal to be 1.90 eV.

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अध्याय 43: Bohr’s Model and Physics of Atom - Exercises [पृष्ठ ३८५]

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एचसी वर्मा Concepts of Physics Volume 1 and 2 [English]
अध्याय 43 Bohr’s Model and Physics of Atom
Exercises | Q 38 | पृष्ठ ३८५

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