Materials

Two steel guitar strings, P and Q, are made of the same alloy.

String P has an original length $L$ , diameter $d$ , and is subject to a tension force $T$ . Under this tension, string P extends by a distance $x$ .

String Q has an original length 3L, diameter $2 d$ , and is subject to a tension force $2 T$ .

Which statement is correct?

The stress in Q is double the stress in P.

The strain of Q is half the strain of P.

The extension of Q is $3 x$ .

The value of $stressstrain\frac{\text{stress}}{\text{strain}}$ for Q is $1.5$ times that of P.

Materials Questions

Two steel guitar strings, P and Q, are made of the same alloy.

String P has an original length $L$ , diameter $d$ , and is subject to a tension force $T$ . Under this tension, string P extends by a distance $x$ .

String Q has an original length 3L, diameter $2 d$ , and is subject to a tension force $2 T$ .

Which statement is correct?

The stress in Q is double the stress in P.

The strain of Q is half the strain of P.

The extension of Q is $3 x$ .

The value of $stressstrain\frac{\text{stress}}{\text{strain}}$ for Q is $1.5$ times that of P.