As shown in the figure, forces of 105 N each are applied in opposite directions, on the upper and lower faces of a cube of side 10 cm, shifting the upper face parallel to itself by 0.5 cm. If the side of another cube of the same material is, 20 cm then under similar conditions as above, the displacement will be:

Question

As shown in the figure, forces of 105 N each are applied in opposite directions, on the upper and lower faces of a cube of side 10 cm, shifting the upper face parallel to itself by 0.5 cm. If the side of another cube of the same material is, 20 cm then under similar conditions as above, the displacement will be: (A) 1.00 cm (B) 0.25 cm (C) 0.37 cm (D) 0.75 cm

Tardigrade Admin · Accepted Answer

n=(F . l/l2 ⋅ Δ l) Since n is constant, Δ l propto (1/l)

1.00 cm

0.25 cm

0.37 cm

0.75 cm

n=l2⋅ΔlF.l​ Since n is constant, Δl∝l1​

$n = \frac{F . l}{l ^{2} \cdot Δ l}$
Since $n$ is constant,
$Δ l \propto \frac{1}{l}$