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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 $\alpha = {\alpha _o} + {\alpha _1}x$ where

${\alpha _o} = 1.5 \times {10^{ - 5}}{/^0}C,\,\,{\alpha _1} = 2.5 \times {10^{ - 6}}{/^0}C$ .

Find the increase in length of the rod when heated through 350°C.

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1.225 mm

0.1225 mm

12.25 m

122.5 mm

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detailed solution

Correct option is C

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.

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Ready to Test Your Skills?

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