Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 12
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Evaluate Rydberg Constant by Putting the Values of the Fundamental Constants in Its Expression. - Physics

Sum

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

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Solution

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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APPEARS IN

HC Verma Class 11, Class 12 Concepts of Physics Vol. 2
Chapter 21 Bohr’s Model and Physics of Atom
Q 4 | Page 384
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