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The radius (r), length (l) and resistanc...

The radius `(r)`, length `(l)` and resistance `(x)` of a thin wire are
`(0.2 +- 0.02)cm, (80 +- 0.1)cm`, and `(30 +- 1) Omega` respectively. The percentage error in the specific resistance is

A

`23.4%`

B

`25.4%`

C

`26%`

D

`27.5%`

Text Solution

Verified by Experts

The correct Answer is:
A

Specific Resistance `rho = (pi r^(2) x)/(L)`
Total `%` error is `[(2Delta r)/(r) + (Delta L)/(L) + (Delta x)/(x)] xx 100`
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