Using principle of homogeneity rule out the wrong formula for kinetic energy of a body.
E = ½MV²
E = Ma
E = 3/16 MV²
E = 2/5 Mc²
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The principle of homogeneity states that the dimensions of each the terms of a dimensional equation on both sides are the same. Using this principle the given equation will have same dimension on both sides. Thus, the dimension on both sides quantities are same.
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