Physics Derivations: Detailed Derivation of Physics Formulas

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Jasmine Grover

Education Journalist | Study Abroad Lead

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 – 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.


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CBSE CLASS XII Related Questions

  • 1.
    Derive an expression for the capacitance of a parallel plate capacitor of plate area A and plate separation d with air present between the plates.


      • 2.
        Write two advantages of reflecting telescope over refracting telescope.


          • 3.
            This ‘average velocity’ is found be few mm/s for currents in range of a few amperes. How then is current established almost the instant a circuit is closed ?


              • 4.
                Two metal spheres of radii $r_1$ and $r_2$ ($> r_1$) having charges $q_1$ and $q_2$ respectively kept in air, are brought in contact. Which of the following statements is not correct ?

                  • The total charge of the two spheres is conserved.
                  • Both spheres attain the same potential.
                  • The final potential of the system equals $\frac{1}{4\pi\epsilon_0} \frac{(q_1 + q_2)}{(r_1 + r_2)}$
                  • The final potential of the system equals $\frac{1}{4\pi\epsilon_0} \frac{(q_1 + q_2) (r_1 + r_2)}{r_1 r_2}$

                • 5.
                  An astronomical telescope consists of two converging lenses. One of them of large aperture and large focal length is called objective lens and the other one, of smaller focal length and smaller aperture is called the eyepiece. It is used to see distant objects which are not seen clearly with naked eyes. The image formed by the objective lens acts as an object for the eyepiece and the final image produced by the eyepiece is magnified.


                    • 6.
                      With the help of a labelled diagram, explain the principle, construction and working of an a.c. generator.

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