Question

A and B are two physical quantities having different
dimensions. Then which of the following operation is
dimensionally correct
() A:B (2) log.
(4) e

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Answer 1

Answer:

if two physical quantities have different dimensions then we can multiply or divide these quantities. but we can't prefer addition or subtraction for these quantities

Explanation:I mean, If A and B are two different quantities .

then, A.B = correct operation.

A/B = correct operation.

A + B = incorrect operation.

and A - B = incorrect operation.

for instance, F is force and v is velocity. F and v are different quantities.

so, F ± v = invalid

but F.v = power ( valid ) [ force × velocity gives power ]

F/v = mass/time ( valid ) [ force = mass × rate of change of velocity ]

hence, two physical quantities A and B have different dimensions. multiplication and division are possible for theses quantities.