**Yeah, other quantities are dimensionless, but they have a unit**. The radian, for instance, is the unit for an angle. But it is dimensionless since the ratio of two lengths is known as being. Meter, second, kilograms, kelvin, candela, moles, ampere will always be independent of the base units and a dimensionless number.

## Which quantity has a unit but dimensionless?

**Angular displacement**has unit (degree or radian) but it is dimensionless as it is the ratio of like quantities. Was this answer helpful?

## Can a dimensionless quantity may have a unit?

**A dimensionless quantity may have a unit**but cannot be expressed in terms of seven fundamental SI quantities. For example, angle is a dimensionless quantity with unit radian but radian cannot be expressed in fundamntal SI quantities.

## What is an example of a dimensionless quantity?

Examples are **specific gravity, strain, and refractive index**. As angle in radians is the ratio of arc to the radius, dimensions of length get cancelled resulting in dimensionless quantity. pi is the circumference to radius ratio. As a result, it lacks dimensionality.

## Can a quantity have dimensions but still have no unit Yes or no?

**No, a quantity having dimensions must have some units of its measurement**.

## What is non zero dimension?

**It doesn’t have any unit and hence it doesn’t have any dimensions**. The dimension is Zero. Examples are, angle, elastic strain, Poisson’s ratio etc.

## What is the unit of strain?

The unit for strain in the SI (Système International) is “one” i.e. **1 ε= 1 = 1 m/m**. In practice, the “unit” for strain is called “strain” and the symbol e is used. Usually, strain is in the order of um/m, i.e. 10^{–}^{6}, and therefore, the unit “µε” (microstrain) is most commonly used.

## Can a dimensionally incorrect equation be correct?

` A dimensionally incorrect equation must be correct. **A dimensionally incorrect equation may be correct**. Solution : A dimensionally correct equation may or may not be correct. For example , ` s = ut + at^(2)` is dimensionally correct , but not correct actually.

## What has a unit but no dimensions?

Answer. **Angle and solid angle** are the physical quantities which have no dimensional formula as they are the ratios of the same physical quantity, but we measure them.

## What are the limitations of dimensional analysis?

The limitations of dimensional analysis are: (i) **We cannot derive the formulae involving trigonometric functions, exponential functions, log functions etc., which have no dimension**. (ii) It does not give us any information about the dimensional constants in the formula.

## What is the principle of homogeneity?

Principle of Homogeneity states that **dimensions of each of the terms of a dimensional equation on both sides should be the same**. This principle is helpful because it helps us convert the units from one form to another.

## Is a point 0D?

Zero Dimension (0D): **A point has no dimensions**. It has no length, width, or height.

## Is there a 4th dimension?

**There is a fourth dimension: time**; we move through that just as inevitably as we move through space, and via the rules of Einstein’s relativity, our motion through space and time are inextricable from one another. But could additional motions be possible?

## What is strain Class 11?

Strain is defined as **the amount of deformation of a material in the direction of the applied force divided by the initial length of the material**.

## What is stress on material?

Stress is the **a measure of what the material feels from externally applied forces**. It is simply a ratio of the external forces to the cross sectional area of the material.

## What is the meaning of dimensionless?

[ dĭ-mĕn′shən-lĭs ] **A number representing a property of a physical system, but not measured on a scale of physical units (as of time, mass, or distance)**.

## Does dimensionless quantity have unit?

**A dimensionless quantity may have a unit** but cannot be expressed in terms of seven fundamental SI quantities. For example, angle is a dimensionless quantity with unit radian but radian cannot be expressed in fundamntal SI quantities.

## What is the dimension of time in power?

So, the dimension of time in power is **T−3**.

## What is the dimension of force?

Or, F = [M] × [L^{1} T^{–}^{2}] = **M ^{1} L^{1} T^{–}^{2}**. Therefore, Force is dimensionally represented as M

^{1}L

^{1}T

^{–}

^{2}.

## How do you check the correctness of an equation?

We can check the correctness of the physical equation **using the principle of homogeneity**. By the principle of homogeneity of dimensions, the dimensions of all the terms on the two sides of an equation must be the same.

## What are the uses of dimensional analysis?

Applications of Dimensional Analysis

**To check the consistency of a dimensional equation**. To derive the relation between physical quantities in physical phenomena. To change units from one system to another.