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BITSAT 2024Paper 1
Exam
BITSAT
Year
2024
Paper
Paper 1
Subject
Physics
Chapter
Dual Nature of Matter

BITSAT 2024 · Paper 1 · Physics · Dual Nature of Matter

If the kinetic energy of a free electron doubles, it's de-Broglie...

If the kinetic energy of a free electron doubles, it's de-Broglie wavelength changes by the factor

Options

  1. A22
  2. B12\frac{1}{2}
  3. C2\sqrt{2}
  4. D12\frac{1}{\sqrt{2}}

Correct answer

D. 12\frac{1}{\sqrt{2}}

Step-by-step solution

de-Broglie wavelength, λ=hp=h2⋅m⋅(K⋅E)∴λ∝1K⋅E\lambda=\frac{\mathrm{h}}{p}=\frac{h}{\sqrt{2 \cdot m \cdot(K \cdot E)}} \quad \therefore \lambda \propto \frac{1}{\sqrt{K \cdot E}} If K.E is doubled, λ\lambda becomes λ2\frac{\lambda}{\sqrt{2}}
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