Volume of the bulb of a mercury thermometer at 0^(0)Cis V_(0)and area of cross section of the capillary tube is A_(0)coefficient of linear expansion of glass is alpha_(g)per ""^(0)C , and the cubical expansion of mercury is gamma_(m) per ""^(0)C . If the mercury fills the bulb at 0^(0) C find the length of mercury column in capillary tube at T^(0)C

Volume of the bulb of a mercury thermometer at 0^(0)Cis V_(0)and area

1.	Volume of the bulb of a mercury thermometer at 0^(0)Cis V_(0)and area of cross section of the capillary tube is A_(0)coefficient of linear expansion of glass is alpha_(g)per ""^(0)C , and the cubical expansion of mercury is gamma_(m) per ""^(0)C . If the mercury fills the bulb at 0^(0) C find the length of mercury column in capillary tube at T^(0)C
Answer» SOLUTION :EXPANSION of mercury `= V_(0) gamma_(m) T ` Expansion in GLASS BULB = ` V_(0) 3 alpha_(g) T ` Apparent expansion in mercury ` = V_(0) gamma_(m) T- V_(0) 3alpha_(g) T ` i.e.,`A_(t) xx Delta l = v_(0) T (gamma_(m) - 3 alpha_(g))` `Delta l = (V_(0) T (gamma_(m) - 3 alpha_(g) ) )/(A_(t)) = (V_(0) T (gamma_(m) - 3 alpha_(g)))/(A_(0) (1 + 2 alpha_(g) T))`