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A dimensionless quantity is one that has only a number, not a unit, and should therefore be the same in any system of units. This often happens when a quantity is the ratio of two measurements of the same kind. For example, the index of refraction can be considered the ratio of two speeds (the speed of light in a vacuum, and the speed of light in the corresponding substance); if both speeds are expressed in meters/second, when taking the ratio, the units disappear, and only a number without units - a "dimensionless" unit - remains. If you convert the speeds in this example to some other unit, for example kilometers per second, both speeds will be a thousand times less; but the ratio will still be the same.
What else can I help you with?
Can a quantity have units but still be dimensionless?
No. "Dimensionless" means there are NO units involved.
Does a dimensionless quantity have a unit?
No, a dimensionless quantity does not have a unit because it represents a pure number without any physical dimension. Examples of dimensionless quantities include ratios, proportions, and mathematical constants.
Can a quantity be dimensionless and have no units?
Yes, a dimensionless quantity is a quantity that does not have any physical dimensions or units. It is a pure number or ratio that represents a comparison between two quantities. Examples of dimensionless quantities include angles, ratios, and pure numbers like pi.
Can a quantity have unit and still be diamensionless?
No, a quantity cannot have units and still be dimensionless. The dimensions of a quantity are determined by its units, so if a quantity has units, it has dimensions. Dimensionless quantities are those without any units.
Which of the following is dimensionless quantity a. stress b. strain c. momentum d. force?
Strain is dimensionless quantity because strain is the ratio of the same quantities like change in length/original length,,change in volume/original volume. e.g tensile strain=(change in length)/(original length)=m/m (S.I unit) so its a dimensionless quantity.
Which dimensionless quantity has unit?
If a quantity is "dimensionless", that means it has no units, and it's just a number.
Is specific weight is a dimensionless quantity?
energy/mass example: calories/gram
Can a quantity have units but still be dimensionless?
No. "Dimensionless" means there are NO units involved.
What are dimensionless numbers?
the dimensionless numbers have the definition as that of dimensionless groups, and have all the properties which dimensionless groups have.
What is the rule of dimensionless quantity?
infinity
Does a dimensionless quantity have a unit?
No, a dimensionless quantity does not have a unit because it represents a pure number without any physical dimension. Examples of dimensionless quantities include ratios, proportions, and mathematical constants.
Can a quantity have constant value and be dimensionless?
Yes. Conversion factors will generally be dimensionless constants.
Can a quantity be dimensionless and have no units?
Yes, a dimensionless quantity is a quantity that does not have any physical dimensions or units. It is a pure number or ratio that represents a comparison between two quantities. Examples of dimensionless quantities include angles, ratios, and pure numbers like pi.
Can a quantity have unit and still be diamensionless?
No, a quantity cannot have units and still be dimensionless. The dimensions of a quantity are determined by its units, so if a quantity has units, it has dimensions. Dimensionless quantities are those without any units.
Is the magnitude of a vector quantity a dimensionless number?
Yes, the magnitude of a vector is a scalar.
Which of the following is dimensionless quantity a. stress b. strain c. momentum d. force?
Strain is dimensionless quantity because strain is the ratio of the same quantities like change in length/original length,,change in volume/original volume. e.g tensile strain=(change in length)/(original length)=m/m (S.I unit) so its a dimensionless quantity.
Can a quantity have units but still be dimension less give example?
Yes, a quantity can have units but still be dimensionless if the units cancel out when they are raised to the power of 0. For example, specific volume (volume per mass) has units of m^3/kg, but when you divide volume by mass, the units cancel out and it becomes dimensionless.
