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Resistance at two temperatures: temperature coefficient or an unknown temperature

This type of question, asked 7 times: 2021 Paper 17, 28 Jun 2022, 12 Apr 2023, 30 Jan 2024, 4 Apr 2024, 8 Apr 2024, 9 Apr 2024. All 7 questions below, oldest first.

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  1. Question 1

    2021 Paper 17

    20
    The resistance of a conductor at 15∘C15^{\circ}C is 16Ω16\Omega and at 100∘C100^{\circ}C is 20Ω20\Omega. What will be the temperature coefficient of resistance of the conductor?

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  2. Question 2

    28 Jun 2022

    101
    Resistance of the wire is measured as 2Ω2\Omega and 3Ω3\Omega at 10∘C10^{\circ}C and 30∘C30^{\circ}C respectively. Temperature coefficient of resistance of the material of the wire is:

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  3. Question 3

    12 Apr 2023

    27
    The current flowing through a conductor connected across a source is 2 A2\text{ }A and 1.2 A1.2\text{ }A at 0∘C0^{\circ}C and 100∘C100^{\circ}C respectively. The current flowing through the conductor at 50∘C50^{\circ}C will be___ ×102 mA\times10^{2}\text{ }mA.
  4. Question 4

    30 Jan 2024

    13
    An electric toaster has resistance of 60Ω60\Omega at room temperature (27∘C)\left( 27^{\circ}C \right). The toaster is connected to a 220 V220\text{ }V supply. If the current flowing through it reaches 2.75 A2.75\text{ }A, the temperature attained by toaster is around: (if α=2×10−4/ ∘C\alpha= 2 \times10^{- 4}/\ ^{\circ}C )

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  5. Question 5

    4 Apr 2024

    6
    The resistances of the platinum wire of a platinum resistance thermometer at the ice point and steam point are 8Ω8\Omega and 10Ω10\Omega respectively. After inserting in a hot bath of temperature 400∘C400^{\circ}C, the resistance of platinum wire is:

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  6. Question 6

    8 Apr 2024

    24
    Resistance of a wire at 0 ∘C,100∘C0\ ^{\circ}C,100^{\circ}C and t ∘Ct\ ^{\circ}C is found to be 10Ω,10.2Ω10\Omega,10.2\Omega and 10.95Ω10.95\Omega respectively. The temperature tt in Kelvin scale is ____ .
  7. Question 7

    9 Apr 2024

    120
    At room temperature (27∘C)\left( 27^{\circ}C \right), the resistance of a heating element is 50Ω50\Omega. The temperature coefficient of the material is 2.4×10−4 ∘C−12.4 \times10^{- 4}\ ^{\circ}C^{- 1}. The temperature of the element, when its resistance is 62Ω62\Omega, is _______  ∘C\ ^{\circ}C.