The resistance of a conductor is `5Omega` at `50^(@)`C and `6Omega` at `100^(@)C`. The resistance at `0^(@)C` is
The resistance of a conductor is `5Omega` at `50^(@)`C and `6Omega` at `100^(@)C`. The resistance at `0^(@)C` is
A. `2Omega`
B. `4 Omega`
C. `2.5Omega`
D. `4.5 Omega`
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Correct Answer - B
`R_(t1)=5Omega, t_(1)=50^(@)C, R_(t2)=6Omega, t_(2)=100^(@)C, R_(0)=?`
`(R_(t1))/(R_(t2))=(R_(0)(1+alpha t_(1)))/(R_(0)(1+alpha t_(2)))`
`5/6=(1+50 alpha)/(1+100 alpha)`
`6+300 alpha = 5 + 500 alpha`
`:. alpha = (1)/(200)`
Now `R_(t1)=R_(0)(1+alpha t_(1))`
`:. 5 = R_(0)(1+(1)/(200)xx50)`
`5=R_(0)xx5/4`
` R_(0)=4 Omega`
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