A piece of metal weighs 45g in air and 25g in a liquid of density\[\text{1}\text{.5 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{3}}}\,\text{kg - }{{\text{m}}^{\text{-3}}}\]kept at\[3{{0}^{\operatorname{o}}}C\]. When the temperature of the liquid is raised to\[40{}^\circ C,\], the metal piece weighs 27g. The density of liquid at\[40{}^\circ C\], is\[1.25\times 1{{0}^{3}}kg -{{m}^{-3}}\]. The coefficient of linear expansion of metal is

• A. \[1.3\times {{10}^{-3}}/{}^\circ C\]
• B. \[5.2\times {{10}^{-3}}/{}^\circ C\]
• C. \[2.6\times {{10}^{-3}}/{}^\circ C\]
• D. \[0.26\times {{10}^{-3}}/{}^\circ C\]