(C) The dimensional formula for force is $[F] = [M^1 L^1 T^{-2}]$.Given units are:$[F] = 100 \, N$$[L] = 10 \, m$$[T] = 100 \, s$Substituting these in

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(C) The dimensional formula for force is $[F] = [M^1 L^1 T^{-2}]$.Given units are:$[F] = 100 \, N$$[L] = 10 \, m$$[T] = 100 \, s$Substituting these into the dimensional formula:$100 = M \times (10) \times (100)^{-2}$$100 = M \times 10 \times \frac{1}{10000}$$100 = M \times \frac{1}{1000}$$M = 100 \times 1000 = 10^{5} \, kg$.

Class 11 Physics Units, Dimensions and Measurement Dimensional Analysis, Uses and Limitations

Medium

If the unit of force is $100\,N$,unit of length is $10\,m$ and unit of time is $100\,s$,what is the unit of mass in this system of units?

A
$10^{3} \, kg$
B
$10^{4} \, kg$
C
$10^{5} \, kg$
D
$10^{6} \, kg$

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Units, Dimensions and Measurement

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Dimensional Analysis, Uses and Limitations

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If the unit of force is $100\,N$,unit of length is $10\,m$ and unit of time is $100\,s$,what is the unit of mass in this system of units?

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