- Home
- Standard 11
- Physics
1.Units, Dimensions and Measurement
medium
જો $x = a -b$ હોય તો $x$ માં પ્રતિશત ત્રુટિ કેટલી થાય?
A
$\left( {\frac{{\Delta a}}{a} + \frac{{\Delta b}}{b}} \right) \times 100\,\% $
B
$\left( {\frac{{\Delta a}}{a} - \frac{{\Delta b}}{b}} \right) \times 100\,\% $
C
$\left( {\frac{{\Delta a}}{a-b} + \frac{{\Delta b}}{a-b}} \right) \times 100\,\% $
D
$\left( {\frac{{\Delta a}}{a-b} - \frac{{\Delta b}}{a-b}} \right) \times 100\,\% $
Solution
Maximum absolute error is $\Delta a+\Delta b$
Therefore the percentage error $=\frac{\text { absolute error }}{\text { actual error }} \times 100$
$\therefore$ Percentage error $=\left(\frac{\Delta a}{a-b}+\frac{\Delta b}{a-b}\right) \times 100 \%$
Standard 11
Physics
