Equal masses of two pure metals

PHYSICS · Single correct · GCSE · Physics · Particle Model of Matter · Particle Model of Matter

Problem

Equal masses of two pure metals, one with density

\rho_1

and the other with a lower density

\rho_2

, are fused together without any change in mass. Which statement best describes the density

\rho_{\text{mix}}

of the resulting composite? (a)

\rho_{\text{mix}}=\dfrac{\rho_1+\rho_2}{2}

(b)

\rho_{\text{mix}}=\dfrac{\rho_1\rho_2}{\rho_1+\rho_2}

(c)

\rho_{\text{mix}}

lies between

\rho_1

and

\rho_2

and is closer to

\rho_2

(d)

\rho_{\text{mix}}

lies between

\rho_1

and

\rho_2

and is closer to

\rho_1