The volume of the bulb of a mercury thermometer at 0°C is V_0, and the cross section of the capillary is A_0. The coefficient of linear expansion of the glass is alpha_(g) per ""^(@) C, and the coefficient of cubical expansion of mercury is gamma_(Hg) per ""^(@) C. If the mercury just fills the bulb at 0^(@) C, what is the length of the mercury column in the capillary at a temperature of t^(@) C?

The volume of the bulb of a mercury thermometer at 0°C is V_0, and th

1.	The volume of the bulb of a mercury thermometer at 0°C is V_0, and the cross section of the capillary is A_0. The coefficient of linear expansion of the glass is alpha_(g) per ""^(@) C, and the coefficient of cubical expansion of mercury is gamma_(Hg) per ""^(@) C. If the mercury just fills the bulb at 0^(@) C, what is the length of the mercury column in the capillary at a temperature of t^(@) C?
Answer» `h= (V_0)/( A_0) [ (gamma_(HG)-3 alpha_(g))/( 1+ 2 alpha_(g) t) ]t` `h =(V_0)/( A_0) [ ( gamma_(Hg) - 2alpha_(g) ) /( 1+ 2 alpha_(g) t) ]t` `h= (V_0)/( A_0) [ (gamma_(Hg) + 3 alpha_(g)) /( 1+ 2 alpha_(g) t) ]t` `h = ( V_0)/( A_0) [ ( gamma_(Hg) - 3 alpha_(g))/( 1 -2 lapha_(g) t) ] t` Answer :A