Atoms And Nuclei Question 287

Question: The energy difference between the first two levels of hydrogen atom is 10.2 eV for another element of atomic number 10 and mass number 20, this will be

Options:

A) 2040 eV

B) 0.201 eV

C) 510 eV

D) 1020 eV

Show Answer

Answer:

Correct Answer: D

Solution:

  • For H atom $ E_{2}-E_{1}=10.2eV $

    $ \text{For }Z=10, $

    $ E_{1}=\frac{-13.6\times 10^{2}}{1^{2}}=-1360eV $

    $ E_{2}=\frac{-13.6\times 10^{2}}{2^{2}}=-3.4\times 100=-340eV $

    $ \therefore E_{2}-E_{1}=-340-( -1360 )=1020eV $



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