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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Atomic Physics

NTA Abhyas 2020 · Physics · Atomic Physics

The circumference of the second orbit of an atom or ion having a...

The circumference of the second orbit of an atom or ion having a single electron is 4×10−9m4 \times {10}^{- 9}m. The de Broglie wavelength of an electron revolving in this orbit should be

Options

  1. A2×10−9m2 \times {10}^{- 9}m
  2. B4×10−9m4 \times {10}^{- 9}m
  3. C8×10−9m8 \times {10}^{- 9}m
  4. D1×10−9m1 \times {10}^{- 9}m

Correct answer

A. 2×10−9m2 \times {10}^{- 9}m

Step-by-step solution

& 2πr=nλ2\pi r = n \lambda

∴\lambda=2\pirn=4×10−92=2×10−9m∴ \text{\lambda} = \dfrac{2\text{\pi r}}{n} = \dfrac{4 \times {10}^{- 9}}{2} = 2 \times {10}^{- 9}\text{m}
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