A constant ratio refers to a fixed relationship between two quantities, where the ratio remains the same regardless of changes in the values of those quantities. For example, if the ratio of two variables, such as length and width, is always 2:1, it means that for every unit increase in width, length will increase by two units, maintaining the same proportion. This concept is commonly used in mathematics, finance, and physics to describe proportional relationships.
Boltzmanns constant
It is the constant of proportionality.
Unbalanced relation,
Proportional
When the ratio of two variables is constant, their relationship can be described as directly proportional. This means that as one variable increases or decreases, the other variable changes in a consistent manner, maintaining the same ratio. Mathematically, this can be expressed as ( y = kx ), where ( k ) is the constant of proportionality.
Boltzmanns constant
The corresponding sides of similar solids have a constant ratio.
Two variables whose ratio is constant have a linear relationship. The first variable is the second multiplied by the constant.
Ratio
It is the constant of proportionality.
The relationship is a linear one. For example when driving at a constant speed, the relationship between distance driven and the time driven is linear with a constant ratio (of the constant speed).
Unbalanced relation,
It is an arithmetic sequence (with constant difference 0), or a geometric sequence (with constant ratio 1).
The constant of proportionality between two variables is the ratio of one to the other.
The charge and mass ratio of proton is constant, the positive particles found during discharge tube experiment are nuclei of atoms which have different charge and mass ratio.
The constant ratio of carbon monoxide to oxygen in a balanced combustion reaction is 1:1.
A constant ratio is a number or term which is constantly used (either added/subtracted or multiplied/divided) throughout a geometric sequence. E.g. 4;-8;16;-32;64;... the constant ratio is ×(-2); multiply each term by -2 starting with 4