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Q.

Statement (A) : The temperature dependence of resistance is usually given as R= R01+αΔt The resistance of a wire changes from 100Ω to150Ω when its temperature is increased from 27°C to 227°C This implies that α=2.5×103/°C

Statement (B) : R=R01+αΔt is valid only when the change in the temperature ΔTis small and  ΔR=RR0<<R0.

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a

Both A and B are false

b

Both A and B are true

c

A is false, B is true

d

A is true, B is false

answer is D.

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Detailed Solution

We have In statement - I

R=R01+αΔt

R=150Ω,  R0=100Ω    t1=27°C t2=227°C

150=1001+α227°C27°150100=1+200α

32=1+200α

321=200α

12=200α

0.5=200α

α=0.5200

α=52000α=2.5×103/°CIn statement – II

R=R01+αΔt

RR0R0=αΔt Since α is very small

Here RR0<<R0Δt

So Δt need not become small 

So statement II is false.

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