10. A wire of resistance 1 ohm is stretched so as
to change its diameter by 0.25%. The
percentage change in its resistance is
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On stretching volume (V) remains constant.
So, V=Al
or, l=AV
R=ρ.Al
=ρ.A2V=π2D4/16ρV
=π2D416ρV
Taking logarithm of both sides and differentiating, we get
RΔR=−4DΔD
or RΔR=−4×025=1.0%
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