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The mass of a coil of copper wire of dia...

The mass of a coil of copper wire of diameter 1.2 mm is 150 g. If the density of copper is `8.9g*cm^(-3)`, then find the length of the copper wire.

Text Solution

Verified by Experts

Let the length of the wire be l and its radius be r.
`therefore` Its volume = `pir^(2)l=pi(0.06)^(2)l cm^(3)` ,
its mass = `pi(0.06)^(2)lxx8.9g`
`therefore" "pi(0.06)^(2)lxx8.9=150`
`therefore" "l=150/(pixx0.0036xx8.9)=1490` cm (approx.)
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