Question

In the equation $S_{nth}=u+\frac{a}{2}(2n-1)$, the letters have the meanings. The dimensional formula of $S_{nth}$ is

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

Answer 1

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

As $S_{nth}$ is distance moved in n th

served

so basically its distance

so dimension = $\left[M^{\circ }{L}^1{T}^{\circ }\right]$