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Q.

Breaking stress of a material is 106 N/m2 . If the density of material is 3 x 103 kg/m3 , what should be the length of this material of uniform cross-section so that it breaks by its own weight? (take g = 10 m/s2)

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a

3.33 m

b

33.3 m

c

0.33 m

d

None of these

answer is B.

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Detailed Solution

Breaking stress (BS)=FmaxA=(ALmaxρ)gA Lmax=BSρg=1063×103×10=33.3 m

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Breaking stress of a material is 106 N/m2 . If the density of material is 3 x 103 kg/m3 , what should be the length of this material of uniform cross-section so that it breaks by its own weight? (take g = 10 m/s2)