Four wires of the same material are stretched by the same load . The dimensions are given below . Which of them will elongate the most ? and why ???

LENGTH DIAMETER
a) 100cm 1mm
b) 200cm 2mm
c) 300cm 3mm
d) 400cm 0.5mm

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Solution

elongation,l ∝ Length/Area
=>l ∝ L/πd^2
l ∝ L/d^2
The ratio of
L/d^2
is maximum for case (d) in the given set of values

So elongation in max for option(d)

ma

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Four wires of the same material are stretched by the same load . The dimensions are given below . Which of them will elongate the most ? and why ??? LENGTH DIAMETER a) 100cm 1mm b) 200cm 2mm c) 300cm 3mm d) 400cm 0.5mm

elongation,l ∝ Length/Area =>l ∝ L/πd^2 l ∝ L/d^2 The ratio of L/d^2 is maximum for case (d) in the given set of values So elongation in max for option(d) ma

Four wires of the same material are stretched by the same load . The dimensions are given below . Which of them will elongate the most ? and why ???

LENGTH DIAMETER
a) 100cm 1mm
b) 200cm 2mm
c) 300cm 3mm
d) 400cm 0.5mm

elongation,l ∝ Length/Area
=>l ∝ L/πd^2
l ∝ L/d^2
The ratio of
L/d^2
is maximum for case (d) in the given set of values

So elongation in max for option(d)

ma