linear coefficient of expansion





Coefficient of linear expansions of certain materials are given below
Material α / °C Iron 12x10 -6 Copper 17x10 -6 Steel 11x10 -6 Gold 14x10 -6 Pyrex glass 3x10 -6 soft glass 9x10 -6 ' a ' of iron is 12x10 - 6 / 0 C means, if a rod of length 1m is heated through 1 0 C, then length increases by an amount of 12x1..
Linear Expansion
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 o..
Linear expansion
interatomic forces 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). Fo..
Superficial Expansion
Superficial Expansion - Expansion in area of a Laminar surface due to heating is known as superficial expansion. Let a 1 = area of a surface t 1 = its initial temperature a 2 = area of the surface after heating t 2 = final temperature The coefficient of super..
Expansion of Liquids
Expansion of container with liquid In the figure L 1 represents the original level at the level of the liquid first falls to L 2 , because the container gets heat first. When the liquid gets heated, it expands much more than the container and its level rises to L 3 . We can only observe t..
Cubical Expansion
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 ..
Cubical or Volume Expansion
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 ..
Expansion of (a+b)^n
Method of writing expansion for (a+b) n - Method of writing expansion for (a+b) n 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..
Method of writing expansion for (a+b)n
Method of writing expansion for (a+b) n 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 i..
Consistency of a system of linear equation
>Now consider the system of linear equations with three variable Let the determinant of the coefficients be denoted by D i.e., Multiplying both sides by x, we have Adding y times column 2 and z times column 3 to column (1), we have Similarity it can be shown that, a..
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