For two wires, length ratio is `1:4`, radius ratio is 1:2, specific resistances ratio is 3:1. Compare their resistances.

Question

For two wires, length ratio is `1:4`, radius ratio is 1:2, specific resistances ratio is 3:1. Compare their resistances.

For two wires, length ratio is `1:4`, radius ratio is 1:2, specific resistances ratio is 3:1. Compare their resistances.
A. `1:3`
B. `1:2`
C. `3:2`
D. `3:1`

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - D
`(l_(1))/(l_(2))=(1)/(4), (r_(1))/(r_(2))=1/2, (rho_(1))/(rho_(2))=3/1, (R_(1))/(R_(1))=?`
`R=(rho l)/(A)=(rho l)/(pi r^(2))`
`:.(R_(1))/(R_(2))=(rho_(1))/(rho_(2))xx(l_(1))/(l_(2))xx((r_(2))/(r_(1)))^(2)=(3)/(1)xx(1)/(4)xx(2/1)^(2)=3/1`

4 views Answered 2023-02-05 15:29