Question

An athlete's coach told him that muscle times speed equals power.
Then according to him the dimensions of muscle are

• A. $\left[ML{T}^{-2}\right]$
• B. $\left[M{L}^2{T}^{-2}\right]$
• C. $\left[ML{T}^{+2}\right]$
• D. $\left[ML{T}^{-3}\right]$

Answer 1

The correct option is A $\left[ML{T}^{-2}\right]$

Let us represent the dimension of muscle as X and we are given $X\times speed=power$.

$X\times speed=power=\frac{Work}{Time}$$=\frac{\left[M{L}^2{T}^{-2}\right]}{\left[T\right]}$

Now, $X=\frac{\left[M{L}^2{T}^{-3}\right]}{\left[L{T}^{-1}\right]}$.

The dimension of muscle is $\left[ML{T}^{-2}\right]$.