Two wires A and B of same length, same area of cross-section havi… - Vidyadip

MCQ

Two wires $A$ and $B$ of same length, same area of cross-section having the same Young's modulus are heated to the same range of temperature. If the coefficient of linear expansion of $A$ is $3/2$ times of that of wire $B$. The ratio of the forces produced in two wires will be

A
$2/3$
B
$9/4$
C
$4/9$
✓
$3/2$

✓

Answer

Correct option: D.

$3/2$

d
(d) $F = YA\alpha \Delta \theta $

If $Y, A$ and $\Delta \theta$ are constant then $\frac{{{F_A}}}{{{F_B}}} = \frac{{{\alpha _A}}}{{{\alpha _B}}} = \frac{3}{2}$

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