A constant voltage source is applied between the two ends of a wire. If the length of the wire is doubled and the radius remains the same, then the rate of heat developed in the wire ________.

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SSC JE Electrical 11 Oct 2023 Shift 3 Official Paper-I
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  1. will be 4 times
  2. will be zero
  3. will be halved
  4. will remain the same

Answer (Detailed Solution Below)

Option 3 : will be halved
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Detailed Solution

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Concept

The heat developed in the wire is given by:

The resistance is given by:

where, H = Developed heat

I = Current

R = Resistance

L = Length of wire

Calculation

Given, L2 = 2L1 and A2 = A1

If resistance becomes twice, then the current will become half of the initial value.

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