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  • The initial and final temprature of an oil bath are   and <img alt="50 \pm 0. 2 \degree C" src=

The initial and final temprature of an oil bath are 25 \pm 0.1 \degree C  and 50 \pm 0. 2 \degree C respectively . What is the percentage error in rise of temprature of the oil bath ? 

Option: 1

2.5 % 


Option: 2

18 % 


Option: 3

1.2 % 


Option: 4

0.8 % 


Answers (1)

best_answer

As we have learned

Percentage error in the value of x -

\dpi{100} x= \frac{\left ( \Delta a+\Delta b \right )}{a-b}\times 100%

- 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

 

 Rise in temp   =

 ( T_2- T_1) \pm (\Delta T_2 +\Delta T_1) \\\\ = (50-25)\pm (0.1+0.2)\\\\=(25\pm 0.3) \degree C

% error in rise of temp

 \frac{\Delta T_2+ \Delta T_1 }{ T_2-T_1} \times 100 \%\\\\\frac{0.3}{25}\times 100 \%\\\\ = 1.2 \%

 

 

 

 

Posted by

Sanket Gandhi

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