when a conducting wire is stretched to double of its initial length, then which property of conducting wire increases ? Explain with appropriate option. A) Resistivity. B) Resistance. C) Volume. D) Density.
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Explanation:
b option:Resistance.
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Answer: Resistance of wire increases on stretching the wire to double of its initial length.
Explanation:
Resistivity is a property of material. It depends on temperature and does not varies on stretching.
Volume remains constant during stretching. Length increases and the cross sectional area reduces accordingly.
Resistance is given by the formula , R = ρL/A
⇒ R = ρL²/AL
⇒ R = ρL²/V
As resistivity and volume remains constant, resistance is proportional to square of length. On doubling the length of wire, resistance becomes four times. Hence, it increases.
Density is mass per unit volume. On stretching mass and volume remains same, hence density remains same.
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