If two quantities have same dimensions, they represent same physical quantity. If two quantities have same dimensions, they represent same physical quantity.
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Can two or more than two quantities have same dimensions?
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.
Which physical quantities have the same dimensions?
Solution : Couple (or Torque) and Work have the same dimensions.
Can two different physical quantities have same dimensional formula explain with example?
are used to show the amount. Various physical quantities have the same unit and dimensional formula, for instance, surface tension and surface energy, impulse and linear momentum, torque and work, frequency, angular velocity and velocity gradient.
Which of the two have the same dimension?
Angular velocity and angular frequency have the same dimension [T−1]. Was this answer helpful?
Does force and pressure have same dimensions?
Addition and subtraction can be done between quantities having same dimension. So, force cannot be added to pressure as their dimensions are different.
Which all dimensions are same?
Solution : Torque and energy both have same dimension `[ML^(2)T^(-2)]`.
Do all physical quantities have dimensions?
Solution : No, all physical quantities do not have
dimensions. For example, angle, strain, rerlative
density re dimensionless.
Which of the following physical quantities do not have same dimensions?
Tension is a force and surface tension is force per unit area hence their dimensions are not same.
Does work and power have same dimensions?
Yes work and energy has same dimensional formula because energy is the capacity to do work so both have same dimensions.
Does torque and work have same dimensions?
Solution : Torque and work have the same dimensions. Torque is an axial vector while work is a scalar.
Which of the following pairs of quantities have same dimensions?
Hence, impulse and momentum both have same dimensions i.e., [MLT−1]
Does impulse and momentum have same dimensions?
Impulse is the force that changes the momentum of a body, Impulse has the same dimension as that of linear momentum.
Can a quantity have unit but no dimension explain?
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.
Which has same dimensions as pressure?
Stress is the force per unit area so it has the same dimension as pressure.
Which physical quantity has no unit and no dimension?
Solution : Yes, for example, strain has no units and no dimensions.
Can a physical quantity have different dimensions in different system of unit?
Solution : No, a quantity has same dimensions in all
system of units.
Does weight and force have same dimensions?
Weight has dimensions of force or Newtons in SI units. They are related because in the earth’s gravitational field the ‘weight’ or force exerted is proportional to the mass times g, the acceleration of gravity at the earth’s surface.
Which one of the following does not have similar dimensions?
Which of the following pairs does not have similar dimensions? Solution : Tension is force and surface tension is `”force”//”length”`. So they do not have the same dimensions.
Which physical quantity has the same dimension of surface tension?
1: Surface tension and spring constant have the same dimensions.
Does angle and strain have same dimensions?
i.e., angle has the same dimensional formula as strain because both of them are dimensionless.
Does stress and work have same dimensions?
Pressure and stress both have the dimensions of force/area. Strain and angle are both dimensionsless. Energy and work have the same dimensions force × distance.
Is light year and wavelength have same dimensions?
Light year and wavelength have same dimensional formula.
Do angular momentum and Planck’s constant have same dimensions?
Furthermore, angular momentum has the same units as linear momentum multiplied with distance. So, we can find the dimensions of angular momentum. Hence, the dimensions of Planck’s constant are equal with the dimensions of angular momentum.
Which following has same dimensions?
Hence, both Impulse and momentum have the same units/dimensions.