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Show that angular momentum has the same ...

Show that angular momentum has the same dimensions as the Planck's constant.

Text Solution

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Angular momentum, L= mvr
`[L]=[M][LT^(-1)][L]`
`=[ML^(2)T^(-1)]`
Now, Planck.s constant, `h=(E )/(v)`
`[h]=([ML^(2)T^(-2)])/([T^(-1)])= [ML^(2)T^(-1)]`
Hence proved.
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