Materials

Two wires $P$ and $Q$ have the same extension for the same load.

$P$ has a diameter $d$ and is made of a metal of density $ρ\rho$ and Young modulus $E$ .

$Q$ has the same mass and length as $P$ but its diameter is $3 d$ .

What are the density and the Young modulus of the metal from which $Q$ is made?

Density: $ρ3\frac{\rho}{3}$ , Young modulus: $E9\frac{E}{9}$

Density: $ρ9\frac{\rho}{9}$ , Young modulus: $9 E$

Density: $ρ9\frac{\rho}{9}$ , Young modulus: $E9\frac{E}{9}$

Density: $ρ3\frac{\rho}{3}$ , Young modulus: $3 E$

Two wires $P$ and $Q$ have the same extension for the same load.

$P$ has a diameter $d$ and is made of a metal of density $ρ\rho$ and Young modulus $E$ .

$Q$ has the same mass and length as $P$ but its diameter is $3 d$ .

What are the density and the Young modulus of the metal from which $Q$ is made?

Density: $ρ3\frac{\rho}{3}$ , Young modulus: $E9\frac{E}{9}$

Density: $ρ9\frac{\rho}{9}$ , Young modulus: $9 E$

Density: $ρ9\frac{\rho}{9}$ , Young modulus: $E9\frac{E}{9}$

Density: $ρ3\frac{\rho}{3}$ , Young modulus: $3 E$

Materials Questions