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AP EAMCET20225 Jul 2022Morning ShiftPhysicsCurrent ElectricityActual

The resistance of wire at 0^ C is 20 . If the temperature coefficient of the resistance is 5 10⁻³ ^ C ⁻¹ . The temperature at which the resistance will be double of that at 0^ C is

Options

  1. A10^ C
  2. B200^ C
  3. C250^ C
  4. D300^ C

Correct answer

B. 200^ C

Step-by-step solution

Resistance of wire at 0^ C , R₀=20 Temperature coefficient, aligned & =5 10⁻³ ^ C ⁻¹ & R_t=2 R₀=2 20=40 aligned we know that, R_t=R₀(1+ t) 40=20 (1+5 10⁻³ t ) 2=1+5 10⁻³ t t= 1 5 10⁻³ = 1000 5 =200^ C

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