Question

If $K=\frac{d^{4}x}{d{t}^4}$ find dimensional formula of $K$ :-

• A. $\left[L{T}^{-3}\right]$
• B. $\left[L^4{T}^{-4}\right]$
• C. $\left[L{T}^{-4}\right]$
• D. $\left[L{T}^4\right]$

Answer 1

Answer: (C)

$[k]=\left[\frac{d^{4}x}{d{t}^4}\right]=\frac{[x]}{\left[T^4\right]}=\frac{[L]}{\left[T^4\right]}=\left[L{T}^{-4}\right]$