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Q.

Two different types of rubber are found to have the stress-strain curves as shown below in figure. The area of the stress-strain curve of a material is numerically equal to the work done in loading the material and then unloading it.

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a

Material B is used for making car tyres.

b

Material A is used as rubber suspension in heavy machinery to absorb vibration of the machine

c

Material A is used for making car tyres

d

Both the materials A and B are used for making car tyres

answer is C.

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Detailed Solution

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1) Since for the above curves, Hooke’s law is not obeyed as the curve is not a straight line hence such type of curve are called as elastic hysteresis as the materials do not retrace curve during unloading.

 2) Rubber B is preferred because area of loop B is more than that of A which shows more absorption power for vibrations which is useful in machinery.

3) Since hysteresis loop is a direct measure of heat dissipation, hence rubber A is preferred over B so to minimize the heating in the car tyres.

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