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Q.

Four wires made of Al, Cu, Fe and steel and of lengths l1 = 100m, l2 =150m,l3 =250m  and l4 = 350m, break due to their own weights. Arrange thesewires with their breaking stresses in ascending orderdAl = 7500 kg/m3 , dcu =7800 kg/m3   , dcu = 9000 kg/m3   and  dsteel  = 11000 kg/m3

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a

St, Fe, Al, Ci

b

St, Fe, Cu, Al

c

Al, Cu, Fe, St

d

Fe, St, Al, Cu

answer is C.

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Detailed Solution

breaking stress =lρg i) breaking stress =100×7500×g=0.75×106gii)breaking stress =150×7800×g=1.17×106giii) breaking stress =250×9000×g=2.25×106giv) breaking stress =350×11000×g=3.85×106g
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Four wires made of Al, Cu, Fe and steel and of lengths l1 = 100m, l2 =150m,l3 =250m  and l4 = 350m, break due to their own weights. Arrange thesewires with their breaking stresses in ascending orderdAl = 7500 kg/m3 , dcu =7800 kg/m3   , dcu = 9000 kg/m3   and  dsteel  = 11000 kg/m3