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  3. Chemistry
  4. Which particle among the following will have the smallest de-Broglie wavelength, assuming that they have the same velocity?

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Q. Which particle among the following will have the smallest de-Broglie wavelength, assuming that they have the same velocity?

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Solution:

The de-Broglie equation is $ \lambda =\frac{h}{p}=\frac{h}{mv} $ Here, h and v are constant. So, $ \lambda \propto \frac{1}{m} $ . Since, the a-particle has the highest mass among the given entities, it has the smallest de-Broglie wavelength.