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Q.

If the length and cross-section of a wire are doubled, then


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a

Its resistance will increase two times

b

Its resistance will decrease four times

c

Its resistance will increase four times

d

Its resistance will remain unchanged 

answer is D.

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Detailed Solution

The resistance remains unchanged because the increase in length cancels out the increase in cross-sectional area.
Resistance = ρLA
Where ‘L’ is the length of the wire, ‘A’ is the area of cross-section, and ρ is the resistivity of the wire.
 
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