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NEET 2023
Exam
NEET
Year
2023
Subject
Physics
Chapter
Atomic Physics

NEET 2023 · Physics · Atomic Physics

The angular momentum of an electron moving in an orbit of hydrogen...

The angular momentum of an electron moving in an orbit of hydrogen atom is 1.5(hπ)1.5\left(\frac{\mathrm{h}}{\pi}\right). The energy in the same orbit is nearly

Options

  1. A−1.3eV-1.3 \mathrm{eV}
  2. B−1.4eV-1.4 \mathrm{eV}
  3. C−1.5eV-1.5 \mathrm{eV}
  4. D−1.6eV-1.6 \mathrm{eV}

Correct answer

C. −1.5eV-1.5 \mathrm{eV}

Step-by-step solution

Angular momentum of electron moving in nth n^{\text{th }} orbit of hydrogen atom Hence, n=3n=3 Now, energy of electron in 3rd 3^{\text{rd }} orbit E=−13.6×z2n2=−13.6×1232=−1.51eV≈−1.5eV\begin{aligned} E & =\frac{-13.6 \times z^2}{n^2} \\ & =\frac{-13.6 \times 1^2}{3^2} \\ & =-1.51 \mathrm{eV} \\ & \approx-1.5 \mathrm{eV}\end{aligned}
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