Question

Suppose a quantity can be dimensionally represented in terms $M,L$ and $T$ , that is $\left[y\right]=\left[M^a{L}^b{T}^c\right]$ . The quantity mass

• A. maybe represented in terms of $L,T$ and $y$ if $a=0$
• B. maybe represented in terms of $L,T$ and $y$ if $\text{a}\ne 0$
• C. Can always be dimensionally represented in terms of $L,T$ and $y$
• D. Can never be dimensionally represented in terms of $L,T$ and $y$

Answer 1

Answer: (B)

$M=y^{\frac{1}{a}}.L^{-\frac{b}{a}}.T^{-\frac{c}{a}}$
where $a$ should not be zero.