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Q.

In an experiment to determine the young’s modulus, steel wires of five different lengths (1,2,3,4 and 5 m) but of same cross section (2mm2) were taken and curves between extension and load were obtained.  The slope of the curves were plotted with (extension/ load) along  y axis and the wire length along   xaxis. If the young’s modulus of given steel wires x×109 Nm2 , then the value of x is 

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a

1

b

2

c

3

d

4

answer is B.

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Detailed Solution

Slope=Yx=Δ L/FL=tanθ=0.25×1031

Δ LFL=0.25×103=14×103

FLΔ L=4×103

Y=FLA Δ L=4×1032×106=2×109N/m2

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In an experiment to determine the young’s modulus, steel wires of five different lengths (1,2,3,4 and 5 m) but of same cross section (2mm2) were taken and curves between extension and load were obtained.  The slope of the curves were plotted with (extension/ load) along  y axis and the wire length along   xaxis. If the young’s modulus of given steel wires x×109 Nm−2 , then the value of x is