# Can a dimensionless quantity have a unit?

## Can a dimensionless quantity have a unit?

Dimensionless quantity is also known as the quantity of dimension with one as a quantity which is not related to any physical dimension. It is a pure number with dimension 1….Example Of Dimensionless Quantity With Unit.

Physical quantity Unit
Atomic mass AMU = 1.66054 x 10-27kg

### Why magnification is called a unit less quantity?

Magnification is the ratio of size of image to size of object and since it is a ratio of two similar quantities hence it is unitless.

Can two different physical quantities have same dimensions?

Answer Expert Verified no . for example both torque & energy has the same dimensions ML^2T^-2 . but they r diff physical quantity.

Does Angle have unit?

The SI derived unit of angle is the radian, which is defined as the angle for which the radius equals the arclength.

## Is Angle dimensionless physical quantity?

Before doing that you should note that the angles have units. They are just dimensionless. A unit of measurement is a definite magnitude of a physical quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same physical quantity.

### What is the physical quantity of angle?

List of physical quantities

Derived quantity Symbol Dimension
Plane angle θ 1
Power P M L2 T−3
Pressure p M L−1 T−2
Pop p→ L T−6

Is refractive index a dimensionless quantity?

v is the velocity of light in that particular medium. c is the velocity of the light in vacuum. So, we can say that the refractive index is a dimensionless quantity.

Can a physical quantity have units but still be dimensionless?

Yes a quantity have units but still be dimensionless for example,unit of angle is radian ,but it is a dimensionless quantity. A dimensionless quantity may have unit. Eg. A unitless quantity never has a non-zero dimension.

## Which of the following is dimensionless physical quantity?

Answer: Stress is ratio of same physical quantities hence dimensionless. Answer: Strain is ratio of two lengths , a measure of deformation increase/decrease in length wrt original length.

### Do all physical quantities have units?

In physics, there are seven fundamental physical quantities that are measured in base or physical fundamental units: length, mass, time, electric current temperature, amount of substance, and luminous intensity. All other units are made by mathematically combining the fundamental units.

Is force a base quantity?

Examples of such SI derived units are given in Table 2, where it should be noted that the symbol 1 for quantities of dimension 1 such as mass fraction is generally omitted….

Derived quantity force newton N m·kg·s-2

What type of physical quantity is work?

Work is a scalar quantity because it only has a magnitude and no direction is required to specify it. Note: It should be noted that work is equal to the scalar product of two vector quantities: force and displacement. The quantity obtained from a scalar product or dot product is always a scalar quantity.

## What is the difference between a physical quantity and a number?

A physical quantity is a property of a material or system that can be quantified by measurement. A physical quantity can be expressed as the combination of a numerical value and a unit. For example, the physical quantity mass can be quantified as n kg, where n is the numerical value and kg is the unit.

### How do you calculate physical quantity?

Physical quantity is the property of an object that can be quantified. For instance, the physical quantities are the length of a rod or the mass of a body. Measurement is the act of comparing a physical quantity with its unit. Measurement result is the value of a physical quantity obtained by means of measurement.

What is not a basic quantity?

Here in this question length, time and amount of substance are basic physical quantities; they are not derived from any other quantity, whereas density is a derived physical quantity from mass and volume (length). So, from the above explanation it is clear that density is not a basic physical quantity.