MCQ
If force, length and time are the basic units, the dimensional formula of mass is:
- ✓$\left[ F ^1 L^{-1} T^{-}\right]$
- B$\left[ F ^1 L^1 T^{-2}\right]$
- C$\left[ F ^1 L^1 T^{-1}\right]$
- D$\left[ F ^l L^l T^l\right]$
✓
Answer
Correct option: A.
$\left[ F ^1 L^{-1} T^{-}\right]$
A
We know that,
We know that,
Force $=$ Mass $\times$ Acceleration
$
\begin{aligned}
\therefore \quad \text { Mass } & =\frac{\text { Force }}{\text { Acceleration }}=\frac{\text { Force }}{\text { Distance } / \text { Time }^2} \\
& =\frac{\text { Force } \times \text { Time }^2}{\text { Distance }} \\
& =\left[F^1 L^{-1} T^2\right]
\end{aligned}
$
Hence correct option is (a).
Hence correct option is (a).
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