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in Nature of Physical World and Measurement by (48.1k points)
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State the principle of homogeneity. Test the dimensional homogeneity of equations

(i) s = ut + \(\frac{1}{2}\)at2

(ii) s= u+\(\frac{a}{2}\) (2n-1)

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Best answer

(i)

as Dimensions of L.H.S. = Dimensions of R.H.S. 

∴ The equation to dimensionally homogeneous.

(ii) Sn = Distance travelled in nth sec that is (Sn – Sn-1)

Hence this is dimensionally correct.

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