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2. structure of atom — Chemistry STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceChemistry2. structure of atom1 Mark
MCQ
Which one of the following about an electron occupying the $1\,s$ orbital in a hydrogen atom is incorrect? (The Bohr radius is represented by $a_0$
  • A
    The electron can be found at a distance $2a_0$ from the nucleus
  • B
    The probability density of finding the electron is maximum at the nucleus
  • C
    The magnitude of potential energy is double that of its kinetic energy on an average
  • ✓
    The total energy of the electron is maximum when it is at a distance $a_0$ from the nucleus
✓

Answer

Correct option: D.
The total energy of the electron is maximum when it is at a distance $a_0$ from the nucleus
d
$T.E =  - K.E = \frac{{PE}}{2}$

The energy of electrons increases as they are away from the nucleus. The probability of finding the $1s$ electron may be higher at $a_0$ but the energy is not. The probability density of finding the electron is not zero at any place in the atom. So, the energy may be higher when it is far from $a_0$

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