expansions

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 is heated in a container. Heat ..

Linear Expansion - 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 expans..

The constant a , which describes the thermal expansion properties of a particular material, is the coefficient of linear expansion. The units of a are K - 1 or (C O ) - 1 (remember that a temperature interval is same in both the Kelvin and Celsius scales). For many materials, li..

Expansions Summary - (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 = a 3 + b 3 +..

Matter expands on heating, i.e., solids, liquids and gases expand on heatin..

The coefficient of cubical expansion is defined as the ratio of the increase in volume to its original volume for every degree increase in temperature. It is denoted by ' g ..

The first term in the expansion of (a + b) n is n C 0 a n b 0 . For the second term, the coefficient is taken as n C 1 , the power of 'a' is decreased by one and the power of 'b' is increased by one. So, the second term is n C 1 a n - 1 b 1 . For the third term, the coefficien..

Some particular expansions for Fractional Index - For n Q, we hav..

For n Q, we hav..

Heat..