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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 - Physics

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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.

बेरीज
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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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पाठ 21: Bohr’s Model and Physics of Atom - Exercises [पृष्ठ ३८५]

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एचसी वर्मा Concepts of Physics Vol. 2 [English] Class 11 and 12
पाठ 21 Bohr’s Model and Physics of Atom
Exercises | Q 38 | पृष्ठ ३८५

संबंधित प्रश्‍न

What is the maximum number of emission lines when the excited electron of an H atom in n = 6 drops to the ground state?


Explain, giving reasons, which of the following sets of quantum numbers are not possible.

  1. n = 0, l = 0, ml = 0, ms = + ½
  2. n = 1, l = 0, ml = 0, ms = – ½
  3. n = 1, l = 1, ml = 0, ms = + ½
  4. n = 2, l = 1, ml = 0, ms = – ½
  5. n = 3, l = 3, ml = –3, ms = + ½
  6. n = 3, l = 1, ml = 0, ms = + ½

How many electrons in an atom may have the following quantum numbers?

n = 4, `m_s =  -1/2`


The longest wavelength doublet absorption transition is observed at 589 and 589.6 nm. Calculate the frequency of each transition and energy difference between two excited states.


The ratio of kinetic energy of an electron in Bohr’s orbit to its total energy in the same orbit  is

(A) – 1

(B) 2

(C) 1/2

(D) – 0.5


The radius of the innermost electron orbit of a hydrogen atom is 5.3 × 10−11 m. What are the radii of the n = 2 and n = 3 orbits?


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When electron in hydrogen atom jumps from energy state ni = 4 to nf = 3, 2, 1, identify the spectral series to which the emission lines belong.


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Use Bohr's postulate to prove that the radius of nth orbit in a hydrogen atom is proportional to n2.


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Statements I: According to Bohr's model of an atom, qualitatively the magnitude of velocity of electron increases with decrease in positive charges on the nucleus as there is no strong hold on the electron by the nucleus.

Statement II: According to Bohr's model of an atom, qualitatively the magnitude of velocity of electron increase with a decrease in principal quantum number.
In light of the above statements, choose the most appropriate answer from the options given below:


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  1. State the type of spectrum obtained.
  2. Name the series of spectrum obtained.


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