Key Physical Quantities and Their Dimensions

Flashcards covering physical quantities, their relationships, and dimensional formulas.

What is the dimensional formula for Mass?

[M]

What is the dimensional formula for Acceleration?

[L T^{-2}]

What is the SI unit of Pressure?

Pascal (Pa) or N/m²

What physical quantity is represented by Energy per Unit Temperature?

Entropy

What is the relation for Force?

Mass x Acceleration (F = m a)

What is the formula for Density?

Density = Mass/Volume = [M L^{-3}]

Define Angular Momentum in terms of its components.

Angular Momentum = Mass x Velocity x Radius (L = [M L^{2} T^{-1}])

What is the dimension of Heat or Enthalpy?

[M L^{2} T^{-2}]

What does the term Surface Tension relate to?

Force per unit length ([M T^{-2}]).

How is the Coefficient of Viscosity defined?

Force x Distance / Area x Velocity ([M L^{-1} T^{-1}]).

What is the relationship of Specific Heat with other quantities?

Heat per Mass per Temperature change ([M^0 L^{2} T^{-2} K^{-1}]).

What is Caused by Displacement in terms of Spring?

Force Constant or Spring Constant ([M L^{-1} T^{-2}]).

What is the formula for Work done?

Force x Distance ([M L^{2} T^{-2}]).

What are T-ratios in context to trigonometric functions?

Ratios of sides of a triangle (sin θ, cos θ, tan θ) are dimensionless.

Define the term Electric Charge in its basic form.

Product of Time and Current ([M^{0} L^{0} T^{0} A]).

What is the SI Unit of Capacitance?

Farad (F) = [M^{-1} L^{-2} T^{4} A^{2}].

Identify the unit for the Gravitational constant 'G'.

Nm²/kg² = [M^{-1} L^{3} T^{-2}].

What is the relationship of Planck's constant 'h' with Frequency?

Energy per Frequency ([M L^{2} T^{-1}]).

How is Viscosity defined in terms of Fluid Dynamics?

Force per Area and Velocity gradient ([M L^{-1} T^{-1}]).

What is the relationship for Electric Field Intensity?

Force per Unit Charge ([M L T^{-3} A^{-1}]).