Q.

The coefficient of linear expansion of a rod of length 2m varies with distance x from end of the rod as  where.Find the increase in length of the rod when heated through 350°C.

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a

1.225 mm

b

0.1225 mm

c

12.25 m

d

122.5 mm

answer is C.

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Detailed Solution

If de be the thermal expansion of an element of length dx, we can write, where Δθ = rise in temperature.  α.dx.
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The coefficient of linear expansion of a rod of length 2m varies with distance x from end of the rod as  where.Find the increase in length of the rod when heated through 350°C.