The resistance of a wire is 5 degree celsius and 6 ohm at hundred degree celsius then the resistance of a wire zero degree celsius will be
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Answer:
Explanation:
KEY CONCEPT : We know that
Rt=R0(1+αt)
where R1 is the resistance of the wire at t∘C,
R0 is the resistance of the wire at 0∘C.
and α is the temperature coefficient of resistance.
⇒R50=R0(1+50α).........(i)
R100=R0(1+100α)..........(ii)
From (i), R50−R0=50αR0.........(iii)
From (ii), R100−R0=100αR0 ........(iv)
Dividing (iii) by (iv), we get
R50−R0R100−R0=12
Here, R50=5ΩandR100=6Ω
∴5−R06−R0=12
or, 6−R0=10−2R0or,R0=4Ω.
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