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Question

The temperature at which the resistance of a conductor becomes 30% more than that of its resistance at 47°C will be:

(Given the value of the temperature coefficient of resistance of the conductor is 2 × 10-4 K-1.)

The correct answer is

1820 K

The resistance of a conductor varies with temperature according to the formula:
RT = R0(1 + αΔT)
Given that resistance increases by 30%, we set up:
1.3R0 = R0(1 + (2 × 10-4)ΔT)
Solving for ΔT:
1.3 = 1 + (2 × 10-4)ΔT
0.3 = (2 × 10-4)ΔT
ΔT = 1500 K
Final temperature = 47 + 1500 = 1820 K.
Thus, the correct answer is (b).

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Important Questions from Current Electricity

  1. Figure shows drift speed Vd of conduction electrons in a copper wire versus position (X) for the three sections. Then,

    A. Radius of III > Radius of II > Radius of I

    B. Electric Field in III > Electric Field in II > Electric Field in I

    C. Radius of wire is same in all sections

    D. Conductivity is same in all sections

    Choose the correct answer from the options given below:

  2. Which of the following circuits cannot be used to measure the resistance of resistor R?

  3. The temperature at which the resistance of a conductor becomes 30% more than that of its resistance at 47°C will be:

    (Given the value of the temperature coefficient of resistance of the conductor is 2 × 10-4 K-1.)

  4. Cell having an emf E and internal resistance r is connected across a variable external resistance R. As the resistance R is increased, the plot of potential difference V across R is given by:

  5. In the potentiometer circuit, the balance point is at X. The balance point will be shifted right towards B when:

    A. Resistance R is increased keeping all other parameters constant

    B. Resistance S is increased keeping all other parameters constant

    C. Cell P is replaced by another cell whose emf is lower than Q

    D. The polarity of Q is reversed

    Choose the correct answer from the options given below:

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