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 $ %



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