Physics And Measurement Question 299

Question: The resistance R of a wire is given by the relation $ R=\frac{\rho \ell }{\pi r^{2}} $ . Percentage error in the measurement of $ \rho ,\ell $ and r is 1%, 2% and 3% respectively. Then the percentage error in the measurement of R is

Options:

A) 6

B) 9

C) 8

D) 10

Show Answer

Answer:

Correct Answer: B

Solution:

[b] Given $ R=\frac{\rho \ell }{\pi r^{2}} $ ,then $ \frac{\Delta R}{R}\times 100 $

$ =\frac{\Delta \rho }{\rho }\times 100+\frac{\Delta \ell }{\ell }\times 100+2\frac{\Delta r}{r}\times 100 $

$ =1%+2%+2\times 3%=9% $



जेईई के लिए मॉक टेस्ट

एनसीईआरटी अध्याय वीडियो समाधान

दोहरा फलक