First slide

Thermal expansion

Question

Figure shows a rectangular plate of dimensions (l x b) from which the circular holes of radii r₁ and r₂ (r₁ > r₂) has been cut. The distance between the two holes is d (> r₂ ). If d' be the respective distance at some higher temperature, then (d'/d) is

Easy

A

$(1 + αΔT)$
B

$αΔT$
C

$(1 - αΔT)$
D

$- αΔT$

Solution

Remember that all the dimensions will increase as the temperature is increased.
   $d^{'} = d (1 + αΔT)$
or    $(d^{'} / d) = 1 + αΔT$

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