expansions

Expansion of Liquids - Liquids do not have a definite shape. They take the shape of the container. Thus, we can specify a liquid by its volume. Hence, we can speak of volume expansion only for liquids. Expansion of liquids is much greater than that of solids. A liquid ..

Cubical Expansion - Increase in volume of a solid on heating is cubical expansion. Let V 1 = Initial volume at t 1 0 C V 2 = its volume at t 2 0 C (t 2 >t 1 ) Then increase in volume ' v' = v 2 -v 1 Increase in temperature ' t' = t 2 -t 1 The coefficient of cubical expan..

Let the length of the rod increase to 'l 2 ' . Increase in length = (l 2 -l 1 ) = l Rise in temperature = (t 2 -t 1 ) 0 c = t. The ratio of increase in length to its original length per every degree rise in temperature is known as ' the coefficient of linear expansion '. ..

Increase in volume of a solid on heating is cubical expansion. Let V 1 = Initial volume at t 1 0 C V 2 = its volume at t 2 0 C (t 2 >t 1 ) Then increase in volume ' v' = v 2 -v 1 Increase in temperature ' t' = t 2 -t 1 The coefficient of cubical expansion is defined as the ra..

(a + b) 2 = a 2 + 2ab + b 2 (a + b) 2 = a 2 + 2ab + b 2 (a - b) 2 = a 2 - 2ab + b 2 In the above two formulae the middle term = (a + b) (a - b) = a 2 - b 2 (x + a) (x + b) = x 2 + (a + b)x + ab. (a + b + c) 2 = a 2 + b 2 + c 2 + 2ab + 2bc + 2ac (a + b) 3 =..

Expansion in area of a Laminar surface due to heating is known as superficial expansion..

A small gap is provided between the rails on railway tracks to make provision for the expansion of rails during summer, otherwise, the rails may bulge due to expansion causing train accidents. If a metal wire is used in a pendulum, its length changes with temperature. Durin..

Some particular expansions for Positive Integral Index - For n N, we have: a) (a - b) n (a +(- b))..

For n Q, we have: ..

Generally, all liquids expand due to heating. But water behaves in a peculiar way when heated from 0 o C to 4 o C. On heating from 0 o C up to 4 o C its volume decreases, reaches a minimum at 4 o C such that the density of water is maximum at 4 o C on heating further, water behaves like any other ..