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Q.

Dimensional formula of universal gas constant R is

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a

$M L^{- 1} T^{- 2} {(m o l)}^{- 1}$

b

$M L^{2} T^{- 2} {(m o l)}^{- 1} K^{- 1}$

c

$M L^{2} T^{- 2}$

d

$M^{- 1} L^{2} T^{- 3} {(m o l)}^{- 1}$

answer is B.

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Detailed Solution

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$R = \frac{P V}{n T} \Rightarrow [R] = \frac{M L^{- 1} T^{- 2} L^{3}}{m o l . K} = M L^{2} T^{- 2} {(m o l)}^{- 1} K^{- 1}$

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