## Question 7: If two quantities have different dimensions, is it possible to multiply and/or divide? Can we add or subtract them?

We can multiply or divide quantities having different dimensions, however, we cannot do this in case of addition and subtraction. Take a simple example of momentum. Momentum is mass time velocity. Both mass and velocity have different dimensions; [M] and [LT-1], respectively. However, they are multiplied to get momentum (quantity of motion) of that body. The dimensions of momentum are [MLT-1].
On the other hand, quantities of different dimensions cannot be added or subtracted. As an example, we cannot subtract time from mass, or add length of the road with the temperature of the surrounding.

(Have you ever seen dimensions of a derived quantity in terms of dimensions of the base quantities added or subtracted!)?

• We provide after-sale support to the readers of our books. Just SMS your question and get answer within 24 hours. The answer may be given through WhatsApp, website or our YourTube channel.
• We are confident our books are the best for both, the preparation of exams and concept clarity.