Tension is a force and surface tension is force per unit area hence their dimensions are not same. Was this answer helpful?
Can a quantity have unit without having dimensions?
The answer is Yes, There are such unit quantities, but dimensional quantities. Note: The dimension quantity with one as a quantity that is not associated with any physical dimension.
What has quantity but no dimension?
The correct answer is Angle.
Which physical quantity has no unit and no dimension?
Solution : Yes, for example, strain has no units and no dimensions.
Which of the following has no dimensions?
Solution : The ratio of two similar quantities does not have dimensions. i.e., Strain.
Can a physical quantity have units but no dimensions give example?
Plane angle=radiusarc is radian and solid angle – Steradian has unit but no dimensions.
Is density a dimensionless quantity?
Relative density is equal to the ratio of density of substance to density of water. Since both have the same dimensions, thus their ratio is dimensionless.
Can a physical quantity be dimensionless and Unitless?
Certain quantities are defined as the ratio of two quantities of the same kind, and are thus dimensionless. A dimensionless physical quantity may have an unit (e.g. Mechanical equivalent of heat) but a unitless physical quantity is always dimensionless (e.g. Coefficient of friction , refractive index).
Do angles have dimensions?
An angle symbolically has dimension . For consistency in the Units package, angles have the dimension length/length(radius). The SI derived unit of angle is the radian, which is defined as the angle for which the radius equals the arclength.
Does solid angle have dimension?
A solid angle symbolically has dimension . For consistency in the Units package, solid angles have the dimension length^2/length(radius)^2. The SI derived unit of angle is the steradian, which is defined as the solid angle for which the surface area equals the radius squared.
Do all constants carry dimensions?
Solution : No, all constant are not dimensionless. For
example, universal gravitational constant,
Planck’s constant etc. do have dimensions.
Why are some physical quantities dimensionless?
A dimensionless quantity is a quantity that has no dimension which means it is a unitless or a scalar number resulting from computations using the same dimensional quantities. In various fields such as mathematics, physics, chemistry and economics, dimensionless quantities are commonly used.
Does strain have a dimension?
Therefore, the strain is dimensionally represented as [M0 L0 T0] = Dimensionless Quantity.
Do points have dimensions?
A point has a dimension of zero. In math, a point is assumed to be a dot with no size (no length or width). A line or line segment has a dimension of one.
Does a line have dimension?
Thus, a line has a dimension of one (1D) because only one coordinate is needed to specify a point on it – for example, the point at 5 on a number line.
How do you remember the dimensions of physical quantities?
Is temperature a dimensionless quantity?
In mechanics, the temperature is usually made dimensionless by defining the ratio of temperature to the characteristic temperature, for example to the room temperature (usually 20C) or like in metals, to the melting temperature (both temperatures in Kelvins).
Is time a dimensionless quantity?
Dimensionless quantities are widely used in many fields, such as mathematics, physics, chemistry, engineering, and economics. Dimensionless quantities are distinct from quantities that have associated dimensions, such as time (measured in seconds).
Is stress a dimensionless quantity?
Because this is a ratio, therefore it is dimensionless quantity.
Are angles dimensionless?
Yes, angles are dimensionless. Angle is a dimensionless quantity but it has units like degree, radian etc. Q.
Is gravitational constant a dimensionless quantity?
Gravitational constant also known as universal gravitational constant has a symbol G and has a dimension [M−1L3T−2] while others are dimensionless constant.
Which two physical quantities are dimensionally same?
Solution : Torque and energy both have same dimension `[ML^(2)T^(-2)]`.
Why Theta is dimensionless?
As `f(theta)` is sum of different powers of `theta,` therefore `theta` must be dimensionless. This is because quantities having different dimensions cannot be added. Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.
What is the dimension of temperature?
From the above equation , the unit of the temperature coefficient is per degee Celsius (/oC). So dimension will be [C−1]
Does relative density have dimensions?
Relative density of a substance is defined as the density of a substance divided by the density of water. Hence, it is a pure ratio and has no dimensions. Therefore, relative density is dimensionless.