Density of a material is 8000 Kg/m3 and permissible stress of this material is 2000 N/cm2. Then maximum length of a rod made of this material, that can be kept vertically on the surface of the rod is
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a
500 m
b
1500 m
c
1250 m
d
250 m
answer is D.
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Detailed Solution
When the rod is kept vertically, maximum stress is induced at its bottom most section. ∴ σmax=mgA=ρ.AlgA=ρlg⇒l=σmaxρg=2000×1048000×10m=250 m
Density of a material is 8000 Kg/m3 and permissible stress of this material is 2000 N/cm2. Then maximum length of a rod made of this material, that can be kept vertically on the surface of the rod is