Question

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

Answer 1

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.