Question

The displacement of a body at a particular second n 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. $\left[M^2{L}^0{T}^1\right]$
• B. $\left[M^0{L}^1{T}^0\right]$
• C. $\left[M^0{L}^1{T}^{-1}\right]$
• D. $\left[M^0{L}^0{T}^0\right]$

Answer 1

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

$u=initialvelocity=\left[M^0{L}^1{T}^{-1}\right]$

The dimension of $S_{n^{th}}$ is same as that of $u\times 1sec$

Hence, ${[M}^0{L}^1{T}^0]$