Can Two Physical Quantities Have The Same Unit? - Fixanswer

1. 1) Two physical quantities can only be equated if they have the same dimensions. 2)

Two physical quantities can only be added if they have the same dimensions

. 3) The dimensions of the multiplication of two quantities is given by the multiplication of the dimensions of the two quantities.

Can two different physical quantity have same dimensions If yes state the example?

No, even if two quantities have the same dimensions, they may represent different physical contents

. Example: Torque and energy have the same dimension, but they represent different physical contents.

What do you mean by that two physical quantities have same dimensions?

In general, if the dimensions are same,

the quantities do represent the same physical content

. Like work and energy have the same dimensions and represent inter-convertible quantity. For example : 1) Energy or work done has the units : Newtons-meters. dimensions : M L2 T−2

Which quantity has no unit?

Thus

relative density

has no unit.

Which quantity has same dimensions?

Solution :

Torque and energy

both have same dimension `[ML^(2)T^(-2)]`.

Do quantities having same dimensions have same units?

If 2 quantities have the same unit then they must have the same dimension

.

Which physical quantity has the same unit as that of stress?

Quantity Unit Dimension	stress N / m ² [M ¹ L ^{– 1} T ^{– 2} ]	pressure N / m ² [M ¹ L ^{– 1} T ^{– 2} ]

Do all physical quantities have unit?

NO dimentionalless quantities dont have unit

.

Does every physical quantity need to have a dimension? Q. Every physical quantity has to have a dimension.

Which of the physical quantities does not have the same units?

Tension is a force and

surface tension

is force per unit area hence their dimensions are not same.

Can there be a physical quantity without units?

Solution : Yes, for example,

strain has no units and no dimensions.

Which of the following quantities have same unit and dimension?

Stress

is the force per unit area so it has the same dimension as pressure.

Which quantity has the same unit as heat?

Heat and energy have the same units.

Joules and calories

are the units of energy and heat.

Do all physical quantities have units Why or why not?

Solution :

No, all physical quantities do not have dimensions

. For example, angle, strain, rerlative density re dimensionless.

Can a dimensional quantity have a unit?

Solution :

No, a quantity having dimensions must have some units

.

Why are several units associated with the same physical quantity?

We have different units for the same physical quantity

because these units were used in different parts of the world

. Every country had its own way to express these physical quantities which started creating confusions.

Which scalar quantity has no unit?

The quantity which has no unit is a constant term. Complete step by step answer:

Relative density

is the ratio of density of substance and density of reference substance. Here, we can observe from the above formula that relative density is ratio of density and density.

Does force and pressure have same dimensions?

Reason:

Force and pressure have same dimensions

.

Can a quantity have different dimensions in different system of units?

Solution :

No, a quantity has same dimensions in all system of units

.

Which of the following is not possible a physical quantity?

Meter

is a unit of length and not a physical quantity while rest are physical quantities.

Which quantities have the same dimensions?

Solution :

Couple (or Torque) and Work

have the same dimensions. `bartau=Fxxd therefore |tau|=[M^(1)L^(1)T^(-2)xxL^(1)]=[M^(1)L^(2)T^(-2)]` and Work `=[Fxxd]=[L^(2)M^(1)T^(-2)]` All other pairs of quantities have different dimensions.

Can we add same dimensions?

As per the principle of homogeneity of dimension,

addition subtraction or equality between two quantities of different dimensions are not possible

while division and multiplication are possible.