1.

A wire of length L is strech such that its diameter is reduced to half of its original diameter. If the initial resistance of the wire were 10 Omega, its new resistanc would be

Answer»

`40 Omega`
`80 Omega`
`120 Omega`
`160 Omega`

Solution :`160 Omega`
SUPPOSE diameter of wire of length `l_(1) ` is `d_(1) ` and wire of length `l_(2) ` is `d_(2) ` .
`therefore PI d_(1)^(2) = pi d_(2)^(2) l_(2)`
`therefore ((d_(1))/(d_(2)))^(2) = (l_(2))/(l_(1))`
`therefore (2)^(2) = (l_(2))/(l_(1))"" therefore 4 = (l_(2))/(l_(1))`
Now R. = `((l_(2))/(l_(1)))^(2) .R = (4)^(2) XX 10 = 160 Omega `


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