Physics Derivations: Detailed Derivation of Physics Formulas

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Derivations in Physics are important to understand the concepts in a clear manner. It helps us understand how the important Physics formulas are derived. Physics Derivations help us identify the logic behind the concepts of Physics to enhance their application. The derivations in physics for the formulas are derived from experiments and observations. Questions on derivations are mostly asked in CBSE Board Examinations as well as entrance exams. We can find a logical connection between the phenomenon and its mathematical description through derivations. The important derivations include concepts from Electrostatics, Current Electricity, Optics, Motion, etc. Some of the important derivations in physics are given in this article along with examples to understand their application.

Derivation of Physics

Some of the important physics derivations are as follows –

Physics Derivations
Archimedes Principle Formula Derivation	Banking of Roads Derivation
Bragg's Law Derivation	Hydrostatic Pressure Derivation
Derivation of the Equation of Motion	Kinematic Equations Derivation
Parallel Plate Capacitor Derivation	Derivations of Kinetic Energy
Centripetal Acceleration Derivation	Value of g on Moon Derivation
Derivation of Drift Velocity	Potential Energy Derivation
Interference of waves Derivation	Rotational Kinetic Energy Derivation
Derivation of Biot Savart Law	Helmholtz Equation Derivation
Laplace Correction Derivations	Derivation of Van Der Waals Equation
Maxwell Equations Derivations	Faraday’s Law Derivation
Derivation of Continuity Equation	Derivation of Escape Velocity
Derivation of Schrodinger Wave Equation	Derivation of Work-Energy Theorem
Radial Acceleration Derivation	Wien’s Displacement Law Derivation
Mean Free Path Derivation	Potential Energy Formula Derivation
Doppler Effect Formula Derivation	Angular Acceleration Formula Derivation
Electric Power Formula: Derivation	Prism Formula Derivation
Mirror Formula Derivation	Strain Energy Derivation
Newton’s second law Formula Derivation	Derivation of Bending Equations
Lorentz Transformation Derivation	Young's Double Slit Experiment Derivation
Magnetic Quantum Number Derivation	Strain Energy Derivation

Physics Derivations – Some Important Concepts

Some of the important concepts of derivations of physics are as follows –

Archimedes Principle

Archimedes Principle states that when we submerge an object in water, either partially or fully, the object will experience an upward buoyant force which is equal to the weight of the water that is displaced by the submerged object.

Banking of Roads

Banking of Roads refers to when the edges of a curved road are raised a bit above the inner edge in a manner that the required centripetal force for the vehicles to take a safe turn is applied. This is to avoid skidding off a road. The edges are horizontally inclined to lift the outer edge of the road.

Bragg’s Law

Bragg’s law is a special case of Laue diffraction that is known to be the determinant of angles that give out coherent and incoherent scattering from a crystal lattice.

Maxwell Equations

Maxwell’s equations use a combination of Ampere’s Law of Current in a Conductor, Gauss’s Law of Electricity, Gauss’s Law of Magnetism, and Faraday’s Law of Electromagnetic Induction. It can be inferred from the equation that in an electromagnetic wave, the magnetic field and the electric field are perpendicular to each other as well as to the direction of propagation.

Mirror Formula

Mirror Formula refers to an equation that is derived that relates the image distance and the object distance with the focal length. A plane mirror is a kind of flat surface that produces a straight image wherein the back and the front of a real object is reversed.

Centripetal Acceleration

Centripetal acceleration is the force that acts on a body that is moving in a uniform circular motion. This centripetal force is perpendicular to the velocity in a circular motion. In addition to this, if the particles that are in a circular motion reduce or increase their speeds, then acceleration is generated, which further causes the net acceleration to vary.

Related Links:

Applications of Gauss’s Law	Centripetal and Centrifugal force	Dipole in a Uniform External Field
Potential Energy	Unit of Work	Potential Energy of Spring
Elastic Collision	Frictional Force	Angular Momentum
Electric Charges and Fields: Important Questions	Current Electricity	Mechanical Properties of Solids
Kirchhoffs Laws	Resistors in Series and Parallel Combination	Circuit Diagram

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Study Guides
CBSE Class 12 Mathematics	CBSE Class 12 Chemistry	CBSE Class 12 Biology
Class 12 Physics Notes	NCERT Solutions for Class 12 Physics	Comparison in Physics
Relation between in physics	Physics MCQ	Class 12 Chemistry Notes
SI units in Physics	Class 12 Physics Practicals	Physics Constants
Class 12 Physics Syllabus	NCERT Solutions for Class 12 Chemistry	Class 12 PCMB Notes
Class 12 Chemistry Practicals	NCERT Solutions for Class 12 English	Class 12 Physics Book
Class 12 Maths Notes	NCERT Solutions for Class 12 Maths	Class 12 Biology Notes
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NCERT Class 12 Textbooks	NCERT Solutions for Class 11 Maths	Biology MCQs
NCERT Class 11 Physics Book	NCERT Solutions for Class 11 Physics	Class 11 Notes
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Chemistry Study Notes	NCERT Solutions for Class 11 English	Chemistry Formulas
Class 11 PCMB Syllabus	NCERT Class 11 Chemistry Book	Periodic Table
NCERT Class 12 Maths Book	Comparison topics in Chemistry	Chemical Reactions
Comparison Topics in Maths	Comparison Topics in Biology	Named Reactions
Maths Formulas	NCERT Solutions for Class 11 Chemistry	Chemistry MCQs

Physics Derivations: Detailed Derivation of Physics Formulas

Derivation of Physics

Physics Derivations – Some Important Concepts

Archimedes Principle

Banking of Roads

Bragg’s Law

Maxwell Equations

Mirror Formula

Centripetal Acceleration

CBSE CLASS XII Related Questions

1.
Assertion (A) : The mass of a nucleus is less than the sum of the masses of the constituent nucleons. Reason (R) : Energy is absorbed when the nucleons are bound together to form a nucleus.

2.
If Bohr’s quantization postulate (angular momentum \( = \frac{nh}{2\pi} \)) is a basic law of nature, it should be equally valid for the case of planetary motion also. Why, then, do we never speak of quantization of orbits of planets around the Sun? Explain.

3.
The figure shows three point charges kept at the vertices of triangle ABC. The net electric field, due to this system of charges, at the midpoint M of base BC will be:

4.
If both the number of protons and the neutrons are conserved in each nuclear reaction, in what way is mass converted into energy (or vice versa) in a nuclear reaction? Explain.

5.
Write any two features of nuclear forces.

6.
Two small identical metallic balls having charges \( q \) and \( -2q \) are kept far at a separation \( r \). They are brought in contact and then separated at distance \( \frac{r}{2} \). Compared to the initial force \( F \), they will now:

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Physics Derivations: Detailed Derivation of Physics Formulas

Derivation of Physics

Physics Derivations – Some Important Concepts

Archimedes Principle

Banking of Roads

Bragg’s Law

Maxwell Equations

Mirror Formula

Centripetal Acceleration

CBSE CLASS XII Related Questions

1.Assertion (A) : The mass of a nucleus is less than the sum of the masses of the constituent nucleons. Reason (R) : Energy is absorbed when the nucleons are bound together to form a nucleus.

2. If Bohr’s quantization postulate (angular momentum \( = \frac{nh}{2\pi} \)) is a basic law of nature, it should be equally valid for the case of planetary motion also. Why, then, do we never speak of quantization of orbits of planets around the Sun? Explain.

3.The figure shows three point charges kept at the vertices of triangle ABC. The net electric field, due to this system of charges, at the midpoint M of base BC will be:

4. If both the number of protons and the neutrons are conserved in each nuclear reaction, in what way is mass converted into energy (or vice versa) in a nuclear reaction? Explain.

5. Write any two features of nuclear forces.

6.Two small identical metallic balls having charges \( q \) and \( -2q \) are kept far at a separation \( r \). They are brought in contact and then separated at distance \( \frac{r}{2} \). Compared to the initial force \( F \), they will now:

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
Assertion (A) : The mass of a nucleus is less than the sum of the masses of the constituent nucleons. Reason (R) : Energy is absorbed when the nucleons are bound together to form a nucleus.

2.
If Bohr’s quantization postulate (angular momentum \( = \frac{nh}{2\pi} \)) is a basic law of nature, it should be equally valid for the case of planetary motion also. Why, then, do we never speak of quantization of orbits of planets around the Sun? Explain.

3.
The figure shows three point charges kept at the vertices of triangle ABC. The net electric field, due to this system of charges, at the midpoint M of base BC will be:

4.
If both the number of protons and the neutrons are conserved in each nuclear reaction, in what way is mass converted into energy (or vice versa) in a nuclear reaction? Explain.

5.
Write any two features of nuclear forces.

6.
Two small identical metallic balls having charges \( q \) and \( -2q \) are kept far at a separation \( r \). They are brought in contact and then separated at distance \( \frac{r}{2} \). Compared to the initial force \( F \), they will now: