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Q.

If we model the electron as a uniform sphere of radius re spinning uniformly about an axis passing through its centre with angular momentum Le=2ℏ and demand that the velocity of rotation at the equator cannot exceed the velocity   of light in vacuum. Then the minimum value of re is nℏmc. Find n?

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answer is 5.

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Detailed Solution

Le=2ℏ, 25mR2ω=2ℏ, 25mRv=2ℏ, R=5ℏmv, Rmin=5ℏmvmax=5ℏmc [n=5].

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