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  4. The dimensions of K in the equation W=(1/2)Kx2 is:-

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Q. The dimensions of $K$ in the equation $W=\frac{1}{2}Kx^{2}$ is:-

NTA AbhyasNTA Abhyas 2022

Solution:

$W=\frac{1}{2}kx^{2}\Rightarrow \left[\right.k\left]\right.=\frac{\left[\right. W \left]\right.}{\left[x^{2}\right]}=\left[\frac{ML^{2} T^{- 2}}{ L^{2}}\right]=\left[\text{MT}^{- 2}\right]$