Question

16. Two physical quantities A and B have different dimensions. Which mathematical operation given belon
physically possible?


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Answer 1

QUESTION:

Two physical quantities A and B have different dimensions. Which mathematical operation given below is physically possible?

• (1) √(AB)    
• (2) A(1 + B)  
• (3) A - B
• (4) A + B

ANSWER:

• The physically possible mathematical operation is √(AB).

GIVEN:

• Two physical quantities A and B have different dimensions.

TO FIND:

• The physically possible mathematical operation.

EXPLANATION:

• The quantities with different dimensions cannot be added or subtracted.

• The quantities only with same dimension can be added or subtracted.

• Multiplication and division are possible irrespective of their dimensions.

• The quantities may or may not be equal even if they have same dimensions.

• But the quantities with different dimensions cannot be equal.

According to the above points,

• Option A) is correct. A and B are multiplied and taken square root.

• Option B) is incorrect. Because constant in added with B which is not possible as constant has no dimensions.

• Option C) is incorrect. Because B is subtracted from A. As  A and B have different dimensions they cannot be subtracted.

• Option D) is incorrect. Because B is added with A. As  A and B have different dimensions they cannot be added.

Answer 2

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✎ㅤQ. Two physical quantities A and B have different dimensions. Which mathematical operation given belon

physically possible❓❓

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