Question

If "force" F, "length" L and time T are taken as fundemental unit , the dimensional formula mass will be

Answer 1

$\huge\fcolorbox{red}{pink}{Answer}$

✏ Fundamental Units:

• Force
• Length
• Time

✏ Dimensional Formula of mass:

$\implies \rm \: \red{F = ma } \\ \\ \therefore \rm \: m = \frac{F}{a} = \frac{ [{F}^{1} ]}{ [{L}^{1} {T}^{ - 2}] } \\ \\ \therefore \: \underline{ \boxed{ \bold{ \rm{ \orange{m = [{F}^{1} {L}^{ - 1} {T}^{2} ]}}}}}$

Answer 2

Force = F

Length = L

Time = T

F = Mass × Acceleration

F = m × a

m = F / a

$m = \frac{f}{ {l}^{1} {t}^{ - 2} } \\ \\ m =f {l}^{ - 1} {t}^{2}$

Take the dimensions in capitals.

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