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Dimensional Analysis

Question

$L^{- 1} M^{1} T^{- 2}$ are the dimension for________.
Force
Pressure
Power
Work

A

Pressure

B

Power

C

Force

D

Work

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Solution

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$P r e s s u r e = \frac{F o r c e}{A r e a} = \frac{M a s s \times A c c e l e r a t i o n}{A r e a}$

$= \frac{[M] [L T^{- 2}]}{[L^{2}]} = M^{1} L^{- 1} T^{- 2}$

So, correct answer is option (A).

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