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On the basis of dimensional arguments, rule out the wrong relation for Kinetic Energy. (i)`(3)/(16)m upsilon^2` (ii) `(1)/(2)m upsilon^2 + ma` |
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Answer» Correct Answer - Relation (ii) is wrong `K.E. = (1)/(2)mv^2 = M(LT^(-1))^2 = [ML^2T^(-2)]` `Now, (1)/(16)m v^2 = M(LT^(-1))^2 = [ML^2T^(-2)]` :. This formula is dimensionally correct for K.E. (ii) `(1)/(2)m upsilon +ma = M(LT^(-1))^2 +MLT^(-2)` This is not permissibal as quantities with different dimension cannot be added. Hence Relation(ii) is wrong. |
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