If dimensions of A and B are different, then which of the following operation is valid
 

  • Option 1)

    A/B

  • Option 2)

    e^-{\frac{A}{B}}

  • Option 3)

    A-B

  • Option 4)

    A+B

 

Answers (1)

As we learnt in 

Error in division x = a/b -

\frac{\Delta x}{x}=\pm \left ( \frac{\Delta a}{a}+\frac{\Delta b}{b} \right )

( maximum fractional error in  x)

- wherein

\Delta a= absolute error in measurement of a

\Delta b= absolute error in measurement of b

\Delta x= absolute error in measurement of x

 

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


Option 1)

A/B

Option is correct

Option 2)

e^-{\frac{A}{B}}

Option is incorrect

Option 3)

A-B

Option is incorrect

Option 4)

A+B

Option is incorrect

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