KVPY SX SB Exam 2016 Question Paper

Question : 36 of 120

Marks: +1, -0

If one takes into account finite mass of the proton, the correction to the binding energy of the hydrogen atom is approximately (mass of proton =

1.60 × 10^{–27}

kg, mass of electron =

9.10 × 10^{–31}

kg)-

Solution:

We know that from Einstein-mass relation is given by

{E}= {mc}^{2}

Relative error:

\;{∆ {E}}/{ {E}}=\;{∆ {m}}/{ {m}} ; {c}=

constant
Percentage error:

\;{∆ {E}}/{ {E}} × 100=\;{∆ {m}}/{ {m}} × 100

=\;{9.1 × 10^{-31}}/{1.6 × 10^{-27}} × 100

=\;{9.1}/{1.6} × 10^{-2}

=6 × 10^{-2}

=0.06 \%

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