Two wires of different materials have same length $$L$$ and same diameter $$d$$. The second wire is connected at the end of the first wire and forms one single wire of double the length. This wire is subjected to stretching force $$F$$ to produce the elongation I. The two wires have

Two wires $$A$$ and $$B$$ are stretched by the same load. The radius of wire $$A$$ is double the radius of wire $$B$$. The stress on the wire $$B$$ as compared to the stress on the wire $$A$$ is

The density of a metal at normal pressure $$p$$ is $$\rho$$. When it is subjected to an excess pressure, the density becomes $$\rho^{\prime}$$. If $$K$$ is the bulk modulus of the metal, then the ratio $$\frac{\rho^{\prime}}{\rho}$$ is

Two rods of same material and volume having circular cross-section are subjected to tension $$T$$. Within the elastic limit, same force is applied to both the rods. Diameter of the first rod is half of the second rod, then the extensions of first rod to second rod will be in the ratio