Two quantities A and B have different dimensions. Which mathematical operations given below are physically meaningful?

$\frac{A}{B}$

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$A + B$

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$A - B$

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$A \times B$

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Solution

The correct options are
A
$\frac{A}{B}$

D
$A \times B$

Quantities having different dimensions can only be divided or multiplied, but they cannot be added or subtracted.

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Given that A has dimensions of length and B has dimensions of mass. Which mathematical operation given below is physically meaningful?

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