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The ratio of length of two wires of same mass arc made up of same material is 1 : 2 Therefore ratio of their resistance is ........

Answer»

`1: 1`
`1: 2`
`2: 1`
`1: 4 `

Solution :`1: 4`
`R = (rho L)/(A)= (rho l^(2))/(V) = (rho l^(2) d)/(m)`
` "(DENSITY" d = (m)/(V)rArr V = (m)/(d) `
`R PROP l^(2) ` (other terms are EQUAL.
`therefore (R_(1))/(R_(2)) = ((l_(1))/(l_(2)))^(2) = ((1)/(2))^(2)= (1)/(4) `


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