Two wires of the same length and material but different radii r1 and r2 are suspended from a rigid support. Both carry the same load at the lower end. The ratio of the stress developed in the second wire to that developed in the first wire is

Question

Two wires of the same length and material but different radii r1 and r2 are suspended from a rigid support. Both carry the same load at the lower end. The ratio of the stress developed in the second wire to that developed in the first wire is (A) (r1/r2) (B) (r21/r22) (C) ((r1/r2))(5/2) (D) ((r1/r2))(1/2)

Tardigrade Admin · Accepted Answer

Correct answer is (b) (r21/r22)

Q. Two wires of the same length and material but different radii $r_{1}$ and $r_{2}$ are suspended from a rigid support. Both carry the same load at the lower end. The ratio of the stress developed in the second wire to that developed in the first wire is

$\frac{r _{1}}{r _{2}}$

$\frac{r _{1}^{2}}{r _{2}^{2}}$

$(\frac{r _{1}}{r _{2}})^{\frac{5}{2}}$

$(\frac{r _{1}}{r _{2}})^{\frac{1}{2}}$

Correct answer is (b) $\frac{r _{1}^{2}}{r _{2}^{2}}$

Q. Two wires of the same length and material but different radii r1​ and r2​ are suspended from a rigid support. Both carry the same load at the lower end. The ratio of the stress developed in the second wire to that developed in the first wire is

r2​r1​​

r22​r12​​

(r2​r1​​)25​

(r2​r1​​)21​