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A wire has a mass (0.3pm0.003)g, radius ...

A wire has a mass `(0.3pm0.003)`g, radius `(0.5pm0.005)` mm and length `(0.6pm0.006)` cm. The maximum percentage error in the measurement of its density

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
D
Density, `rho=(M)/(V)=(M)/(pir^3L)`
`implies(trianglerho)/(rho)=(triangleM)/(M)+2(triangler)/(r )+(triangleL)/(L)`
`=(0.003)/(0.3)+2xx(0.005)/(0.5)+(0.06)/(6)`
`=0.01+0.02+0.01=0.04`
percentage error`=(trianglerho)/(rho)xx100=0.04xx100=4%`
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