Question

The displacement of a body at a particular second $\left(n\right)$ is given by the expression $s_{n^{th}}=u+\frac{a}{2}(2n-1)$. The dimensional formula of $s_{n^{th}}$ in this equation is

• A. $\left[M^1{L}^1{T}^0\right]$
• B. $\left[M^0{L}^1{T}^{-1}\right]$
• C. $\left[M^0{L}^1{T}^0\right]$
• D. $\left[M^0{L}^0{T}^0\right]$

Answer 1

The correct option is C $\left[M^0{L}^1{T}^0\right]$

$s_{n^{th}}$ is the displacement in $n^{th}$ second, so it will have dimension of length i.e. $\left[M^0{L}^1{T}^0\right]$