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Q.

The dimensional formula for Planck's constant and angular momentum are

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a

$[{ML}^{2} T^{- 2}] a n d {[MLT ]}^{- 1}]$

b

$[{ML}^{2} T^{- 1}] a n d [{ML}^{2} T^{- 1}]$

c

$[{ML}^{3} T] a n d [{ML}^{2} T^{- 2}]$

d

$[MLT] a n d {[MLT}^{- 2}]$

answer is B.

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Detailed Solution

$L = m v R = \frac{n h}{2 π} ∴ [L] = [h] = [m v R]$

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