Question:

A proton accelerated through a potential difference V has a de Broglie wavelength λ. On doubling the accelerating potential, the de Broglie wavelength of the proton_____.
Fill in the blank with the correct answer from the options given below

Updated On: Oct 30, 2024
  • Remains unchanged
  • Becomes double
  • Becomes four times
  • Decreases
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The Correct Option is D

Solution and Explanation

The de Broglie wavelength λ is inversely proportional to the square root of its kinetic energy (λ ∝ 1/√V). When the accelerating potential is doubled, the kinetic energy increases, and the wavelength decreases by a factor of √2. Hence, the correct answer is Option 4.
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