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A wire of length l = 6+- 0.06 cm and rad...

A wire of length `l = 6+- 0.06 cm` and radius `r = 0.5 +- 0.005 cm` and mass `m = 0.3 +- 0.003 g`. Maximum percentage error in density is :

A

4

B

2

C

1

D

6.8

Text Solution

Verified by Experts

The correct Answer is:
a

`rho=m/(pi r^(2)l)`
`rArr ((Delta rho)/rhoxx100)=((Deltam)/m+(2Deltar)/r+(Deltal)/l)xx100`
`=(0.003/0.3+(2xx0.005)/0.5+0.006/6)xx100=4%`
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