Solveeit Logo
Login

Question

Question: The Martians use force \((F)\), acceleration \((A)\) and time \((T)\) as their fundamental physical ...

The Martians use force (F)(F), acceleration (A)(A) and time (T)(T) as their fundamental physical quantities. The dimensions of length on Martians system are

A

FT2FT^{2}

B

F−1T2F^{- 1}T^{2}

C

F−1A2T−1F^{- 1}A^{2}T^{- 1}

D

AT2AT^{2}

Answer

AT2AT^{2}

Explanation

Solution

Acceleration = distan⥂cetime2\frac{\text{distan} ⥂ \text{ce}}{\text{tim}\text{e}^{2}}

⇒A=LT−2⇒L=AT2A = LT^{- 2} \Rightarrow L = AT^{2}