Question
Download Solution PDFA steel ball of mass mis moving with a kinetic energy K. The de Broglie wavelength associated with the ball is
This question was previously asked in
AIIMS BSc NURSING 2023 Memory-Based Paper
Answer (Detailed Solution Below)
Option 3 : \(\frac{\mathrm{h}}{\sqrt{2 \mathrm{mK}}}\)
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AIIMS BSc NURSING 2024 Memory-Based Paper
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Detailed Solution
Download Solution PDFCalculation:
The de Broglie wavelength λ is given by the formula:
λ = h / p
where:
- h = Planck's constant
- p = momentum of the particle
Since the steel ball is moving with kinetic energy K, the momentum p is related to K by the equation:
p = √(2mK)
Substitute this expression for p into the de Broglie wavelength equation:
λ = h / √(2mK)
The correct answer is: h / √(2mK)
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