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Dimensional Formula of Physical Quantities – Class 11 Physics

Yashwant Parihar, February 17, 2026February 17, 2026

The Dimensional Formula of Physical Quantities helps students understand Physics in a simple and logical way instead of memorising formulas. It shows how every physical quantity is connected to basic ideas like length, mass, and time. By learning this topic, students can check formulas, understand relationships between quantities, and feel more confident while solving problems. This chapter makes Physics clearer, easier, and more meaningful for Class 11 learners.

What are Physical Quantities?

Physical quantities are those quantities that can be measured or expressed in terms of numbers or units. For example, length, mass, time, force, area, etc.

There are two types of physical quantities.

  • Fundamental Quantities
  • Physical Quantities

Fundamental Quantities

Those quantities that can be independent of other quantities are known as fundamental quantities. There are seven types of fundamental quantities.

  1. Length
  2. Mass
  3. Time
  4. Temperature
  5. Electric Current
  6. Amount of Substance
  7. Luminous Intensity

Derived Quantities

Those Quantities which are dependent on fundamental quantities are known as derived quantities. For example, force, work, energy, etc.

What is a Dimensional Formula?

A Dimensional Formula is an expression of how the quantity depends on fundamental quantities like mass, length and volume. In simple words, a dimensional formula shows the power of the fundamental quantities.

The General representation of a dimensional formula is [Q] = Ma Lb Tc.
Where,
a, b, and c are integers or can be expressed in the form of a fraction

All Quantities Dimensional Formula

Class 11 (Mechanics)

Physical QuantityDimensional Formula
AreaL²
VolumeL³
DensityM L⁻³
VelocityL T⁻¹
AccelerationL T⁻²
MomentumM L T⁻¹
ForceM L T⁻²
ImpulseM L T⁻¹
Work / EnergyM L² T⁻²
PowerM L² T⁻³
Pressure / StressM L⁻¹ T⁻²
StrainDimensionless
Young’s ModulusM L⁻¹ T⁻²
Modulus of RigidityM L⁻¹ T⁻²
Bulk ModulusM L⁻¹ T⁻²
Gravitational Constant (G)M⁻¹ L³ T⁻²
Angular VelocityT⁻¹
Angular AccelerationT⁻²
TorqueM L² T⁻²
Moment of InertiaM L²
Surface TensionM T⁻²
Coefficient of ViscosityM L⁻¹ T⁻¹
Terminal VelocityL T⁻¹

Properties of Matter & Thermal Physics (Class 11)

Physical QuantityDimensional Formula
HeatM L² T⁻²
TemperatureK1
Heat CapacityM L² T⁻² K1
Specific Heat CapacityL² T⁻² K-1
Latent HeatL² T⁻²
Thermal ConductivityM L T⁻³ K-1
Coefficient of Linear ExpansionK-1
Stefan’s ConstantM T⁻³ K-4
Gas Constant (R)M L² T⁻² K-1

Waves & Oscillations (Class 11)

Physical QuantityDimensional Formula
Time PeriodT
FrequencyT⁻¹
Angular FrequencyT⁻¹
Wave VelocityL T⁻¹
WavelengthL
IntensityM T⁻³

Electrostatics (Class 12)

Physical QuantityDimensional Formula
ChargeA T
Electric CurrentA
Electric FieldM L T⁻³ A⁻¹
Electric PotentialM L² T⁻³ A⁻¹
CapacitanceM⁻¹ L⁻² T⁴ A²
PermittivityM⁻¹ L⁻³ T⁴ A²
Electric Dipole MomentA T L

Current Electricity (Class 12)

Physical QuantityDimensional Formula
ResistanceM L² T⁻³ A⁻²
ResistivityM L³ T⁻³ A⁻²
ConductanceM⁻¹ L⁻² T³ A²
Current DensityA L⁻²
Drift VelocityL T⁻¹
EMFM L² T⁻³ A⁻¹

Magnetism & EMI (Class 12)

Physical QuantityDimensional Formula
Magnetic FieldM T⁻² A⁻¹
Magnetic FluxM L² T⁻² A⁻¹
Magnetic MomentA L²
PermeabilityM L T⁻² A⁻²
InductanceM L² T⁻² A⁻²

Optics (Class 12)

Physical QuantityDimensional Formula
Focal LengthL
Power of LensL⁻¹
Refractive IndexDimensionless

Modern Physics (Class 12)

Physical QuantityDimensional Formula
Planck’s ConstantM L² T⁻¹
Energy of PhotonM L² T⁻²
WavelengthL
FrequencyT⁻¹
Decay ConstantT⁻¹
RadioactivityT⁻¹

Why Are Dimensional Formulas Important?

Many students feel bored when studying the formulas, but these formulas are important because in boards and competitive exams like JEE and NEET, direct MCQ is asked from these formulas, so students must learn all the dimensional formulas. Also, the dimensional formula is important for:

  • To Check the Correctness of Equations
  • To Derive Relations Between Physical Quantities
  • To Convert Units
  • To Remember Formulas Easily

Quick Exam Trick – You have to learn some of the important formulas, like force, energy or charge, so that you can derive other quantities with the help of these quantities.

Limitations of Dimensional Formula

  • They cannot determine numerical constants (like 2, π, ½).
  • They cannot distinguish between scalar and vector quantities.
  • They fail for trigonometric, exponential, and logarithmic functions.
Physics Class 11 Physics class 11

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