Question

If acceleration (a), velocity (v) and force (F) are used as fundamental quantities , represent Young’s modulus in term of these fundamental quantities.

• A. $\frac{a^{2}F}{v^4}$
• B. $\frac{a{F}^2}{v^4}$
• C. $a^{2}F{v}^4$
• D. $a{F}^2{v}^4$

Answer 1

The correct option is A $\frac{a^{2}F}{v^4}$

In terms of mass, length and time, we get the dimensions of 'a' as $\left[L{T}^{-2}\right]$ , dimensions of 'v' will be $\left[L{T}^{-1}\right]$ and dimensions of force will be $\left[ML{T}^{-2}\right]$

If we put these together in $\frac{a^{2}F}{v^4}$, we will get the dimensions of Young's modulus.