Table of Contents
- 1 Do the quantities have same dimensions always have same units?
- 2 Can two physical quantities possess same dimensions and different units give example?
- 3 Can a quantity have different dimensions in different system of unit?
- 4 Can a physical quantity have different dimensions in different system of units?
- 5 Do force and work have the same dimensions?
Do the quantities have same dimensions always have same units?
No, if two quantities have the same dimensions, it is not necessary that they represent the same physical content.
Are dimensions the same as units?
Dimensions are physical quantities that can be measured, whereas units are arbitrary names that correlate to particular dimensions to make it relative (e.g., a dimension is length, whereas a meter is a relative unit that describes length).
Can two physical quantities possess same dimensions and different units give example?
It is possible to have same dimension but different units as they represent different physical quantity. Eg: Torque and energy both represent different physical quantity but have same dimension i.e. ML^(2)T^(-1). Unit for torque is newton-metre.
Which unit has same dimensions?
Note: The dimension of quantities which are interchangeable into one another have exactly the same dimension. For example, energy can transform from one form to another. So each type of energy whether it is kinetic energy or nuclear energy, they all have the same dimension.
Can a quantity have different dimensions in different system of unit?
Dimension of physical quantity in different unit system are equal.
How are the units related to one another?
To convert from one unit to another, all you have to do is move the decimal point. Larger and smaller metric units are identified by metric symbols, or prefixes. The prefix for the unit 1000 times larger than the base unit is kilo-, and its symbol is k.
Can a physical quantity have different dimensions in different system of units?
Dimension of physical quantity in different unit system are equal. A : A dimensionless quantity may have unit.
Can a physical quantity have dimensions but no unit?
There is no physical quantity, which has dimension but no unit. Because if a physical quantity has a dimension then it definitely has a unit.
Do force and work have the same dimensions?
Given below are certain quantities : Momentum, stress, pressure, force constant, work, moment of force, surface tension, Impulse form pair of quantities having same dimensions. Reason:Impulse is proportional to time and force.