Question

- If length, mass and force are selected as fundamental units, what will be the dimension of time ?
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Answer 1

Answer:

We are given that force F, length L, and mass M are the fundamental quantities of time T and hence we put,

T=F

x

L

y

M

z

Substituting their dimensions we have

[T]=[M

x

L

x

T

−2x

]L

y

M

z

Applying principle of homogeneity of dimensions we have

1=−2x or x=

2

−1

,

y=

2

1

,

z=

2

1

,

∴ dimension of time becomes M

2

1

L

2

1

F

2

−1