A force is represented by F = a x 2 + b t 1 2 , where x = distance and t = time. The dimensions of b 2 a are :

Question

A force is represented by F = a x 2 + b t 1 2 , where x = distance and t = time. The dimensions of b 2 a are :, [ M L 3 T – 3 ], [ M L T – 2 ], [ M L – 1 T – 1 ], [ M L 2 T – 3 ]

MARKS App · Accepted Answer

Given: F = a x 2 + b t 1 2 Dimension of a = F x 2 = M L T - 2 L 2 = M 1 L - 1 T - 2 Dimension of b = F t 1 2 = M L T - 2 T 1 2 = M 1 L 1 T - 5 2 Required value, b 2 a = M 2 L 2 T - 5 M 1 L - 1 T - 2 = M 1 L 3 T - 3

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