Question

Two physical quantities A and B have different dimensions. Which mathematical operation given below is
physically possible?
(1) ^1/2×AB
(2) A(1 + B)
(3) A-B
(4) A + B
​

Answer 1

Answer: option (1)

Step-by-step explanation:

Different physical quantities have different units.

Hence we cannot add or subtract them. We can only multiply or divide them.

Therefore, the answer will be 1/2 x AB.

All other options involve addition or subtraction; these operations cannot be performed on A and B, and consequently, options (2), (3) and (4) are wrong.

Hope this helps you!