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The resistance R of a wire is given by t...

The resistance R of a wire is given by the relation `R=pl//pir^(2)`. Percentage error in the measurement of p, I and r is 1%,2% and 3% respectively. Then the percentage error in the measurement of R is

A

`6%`

B

`9%`

C

`8%`

D

`10%`

Text Solution

Verified by Experts

The correct Answer is:
B
Resistance of a wire `R = (rhol)/(rho) xx 100 + (Delta l)/(l) xx 100 + 2(Delta r)/(r ) xx 100`
`" "=1% + 2% + 2(3%) = 9%`
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