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Four wires of the same diameter are conn...

Four wires of the same diameter are connected, in turn, between two points maintained at a constant potential difference, Their resistivities and lengths are, `rho and L ("wire 1") 1.2rho and 1.2L("wire 2"), 0.9 rho and 0.9L("wire 3") and rho and 1.5L ("wire 4")`. Rank the wires according to hte rates at which energy is dissipated as heat, greatest first,

A

`4 gt 3 gt 1 gt 2`

B

`4 gt 2 gt 1 gt 3`

C

`1 gt 2 gt 3 gt 4`

D

`3 gt 1 gt 2 gt 4`

Text Solution

Verified by Experts

The correct Answer is:
D
`R_(3) < R_(1) < R_(2) < R_(4)`
H ohm `V^(2)/R , 3 > 1 > 2 > 4`
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