Which of the following has the largest de-broglie wavelength, provided all have equal velocity?
a)carbon dioxide molecule
b)electron
c)Ammonia molecule
d)Proton
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wavelength is inversely proporttional to mass
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Electron has the largest de-broglie wavelength, provided all have equal velocity.
Option: (b)
Explanation:
- According to de Broglies wavelength, the wavelength where 'm' is the mass and 'u' is the velocity. Here 'h' is the Planks constant.
- Hence the wavelength is inversely proportional to the mass when velocity is constant.
- The mass of the electron is lesser than the mass of carbon dioxide, ammonia molecules and proton.
- Whereas the mass of carbon dioxide is the highest. Hence the wavelength is maximum for electron and least for carbon dioxide.
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