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  4. If K =( d 4 x / dt 4) find dimensional formula of K :-

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

Physical World, Units and Measurements

Solution:

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