Physics And Measurement Question 181
Question: According to Joule’s law of heating, heat produced $ H=I^{2} $ Rt, where I is current, R is resistance and t is time. If the errors in the measurement of I, R and t are 3%, 4% and 6% respectively then error in the measurement of H is
Options:
A) $ \pm $ 17%
B) $ \pm $ 16%
C) $ \pm $ 19%
D) $ \pm $ 25%
Show Answer
Answer:
Correct Answer: B
Solution:
$ H=I^{2}Rt $
$ \therefore \frac{\Delta H}{H}\times 100=( \frac{2\Delta I}{I}+\frac{\Delta R}{R}+\frac{\Delta t}{t} )\times 100 $
$ =(2\times 3+4+6) $ %
$ =16 $ %
