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Q.

The composite rod ABC is acted upon by a tensile force F as shown in figure. Radius of AB is r and that of BC is 2r. If the total elastic potential energy stored in the rod is 100 Joule, the energy stored in the rod AB is YAB=Y and YBC=2Y

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a

84.25 J

b

75 J

c

68 J

d

88.89 J

answer is D.

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Detailed Solution

Stress induced in AB is σ=F/πr2Stress induced in BC is σ1=Fπ2r2=F4∴ UAB=σ22YABπr2.l=F22Y×π2r4×πr2l=F2l2πr2.Yand UBC=σ122YBCπ2r2l=F222Y×π2r22×π2r2.l=F2l16πr2Y=UAB8

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The composite rod ABC is acted upon by a tensile force F as shown in figure. Radius of AB is r and that of BC is 2r. If the total elastic potential energy stored in the rod is 100 Joule, the energy stored in the rod AB is YAB=Y and YBC=2Y