A pices of metal weighs 46 g air. When it is immersed in a liquid of specific gravity 1.24 at 27^(@)C, it weighs 30g. When the temperature si raised to 42^(@)C, the metal piece weighs 30.5 g. If the specific gravity of the liquid at 42^(@)C is 1.20, the coefficient of linear expansion of the metal is

A pices of metal weighs 46 g air. When it is immersed in a liquid of s

1.	A pices of metal weighs 46 g air. When it is immersed in a liquid of specific gravity 1.24 at 27^(@)C, it weighs 30g. When the temperature si raised to 42^(@)C, the metal piece weighs 30.5 g. If the specific gravity of the liquid at 42^(@)C is 1.20, the coefficient of linear expansion of the metal is
Answer» `(1.4xx10^(-5))/("^(@)C)` `(2.3xx10^(-5))/("^(@)C)` `(4.3xx10^(-5))/("^(@)C)` `(3.4xx10^(-5))/("^(@)C)` SOLUTION :Change in weight = Upthrust (F) where `""F=V_(s)p_(t)g` `rArr""F'= V_(s)p_(t)'g` `""(F')/F=(V_(s)')/V_(s).(p_(l)')/(p_(l))or(F')/(F)=(1+gamma_(s)Delta theta)(p_(l'))/(p_(l))` `((46-30.6)/(46-30))=(1+3xx alpha_(s)xx15)((1.20)/(1.24))` or `""alpha_(s)=2.3xx10^(-5)//^(@)C`