Physics

# $M L T ^ { - 2 } = k L ^ { a } \left( L T ^ { - 1 } \right) ^ { b } \left( M L ^ { - 1 } T ^ { - 1 } \right) ^ { c }$  where $k$  is a dimensionless constant. Taking dimensions on both sides,find value a, b and c

##### SOLUTION

Comparing the exponents of  $\mathrm { M } , L$  and   $T$

$1 = c$

$1 = a + b - c$

$- 2 = - b - c$
Solving these equations   $a = 1 , b = 1$  and  $c = 1$.

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Subjective Medium Published on 18th 08, 2020
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