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Evaluate Rydberg Constant by Putting the Values of the Fundamental Constants in Its Expression.

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प्रश्न

Evaluate Rydberg constant by putting the values of the fundamental constants in its expression.

बेरीज
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उत्तर

Expression of Rydberg constant (R) is given by

`R = (me^4)/(8h^2c ∈_0^2)`

Mass of electron, me = `9.31 xx 10^21 xx kg `

Charge, e = 1.6 × 10−19 C  

]Planck's constant, h = 6.63 × 10−34 J-s,  

Speed of light, c = 3 × 108 m/s,

Permittivity of vacuum, ∈0 = 8.85 × 10−12 C2N1m

On substituting the values in the expression, we get

`R = ((9.31xx10^-31)xx(1.6xx10^-19)^4)/(8 xx(6.63xx10^-14)^2 xx (3xx10^8)xx(8.85xx10^-12)^2`

`rArr R = 1.097 xx 10^7 m^-1`

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पाठ 43: Bohr’s Model and Physics of Atom - Exercises [पृष्ठ ३८४]

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एचसी वर्मा Concepts of Physics Volume 1 and 2 [English]
पाठ 43 Bohr’s Model and Physics of Atom
Exercises | Q 4 | पृष्ठ ३८४

संबंधित प्रश्‍न

Draw a neat, labelled energy level diagram for H atom showing the transitions. Explain the series of spectral lines for H atom, whose fixed inner orbit numbers are 3 and 4 respectively.


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

In Bohr’s model of the hydrogen atom, the radius of the first orbit of an electron is r0 . Then, the radius of the third orbit is:

a) `r_0/9`

b) `r_0`

c) `3r_0`

d) `9r_0`


On the basis of Bohr's theory, derive an expression for the radius of the nth orbit of an electron of the hydrogen atom.


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  1. because of energy conservation.
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  3. because of momentum conservation.
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The radius of the nth orbit in the Bohr model of hydrogen is proportional to ______.


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