ChemistryWhich of the following statement is incorrect in Bohr’s model if the mass of an electron becomes 10 times its original mass ?

Which of the following statement is incorrect in Bohr’s model if the mass of an electron becomes 10 times its original mass ?

  1. A

    Velocity of the electron increases by 10 times

  2. B

    Orbit radius decreases by 10 times

  3. C

    Energy of electron increases by 10 times

  4. D

    Wave length of the electron will remain same

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    Solution:

    Expression of velocity is, v=2πze2nh. As velocity of electron is independent from mass of electron, hence option 1 is wrong.

    Expression of radius is, r=n2h24π2mZe2. If mass increased by 10 times, radius decreases by 10 times. hence, option-2 is correct.

    Expression of energy is, E=-2π2mZ2e4n2h2. If mass increases by 10 times, then energy also increases by 10 times. Hence, option-3 is also correct.

    Expression of wavelength is, λ=2πrnn.No dependency on mass, therefore wavelength remains the same. Hence, option-4 is also correct.

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