Physics Derivations: Detailed Derivation of Physics Formulas

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Jasmine Grover

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


      • 2.
        The resistance of a metal wire at \( 20^\circ \text{C} \) is \( 1.05 \, \Omega \) and at \( 100^\circ \text{C} \) is \( 1.38 \, \Omega \). Determine the temperature coefficient of resistivity of this metal.


          • 3.
            Write two advantages of reflecting telescope over refracting telescope.


              • 4.
                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.


                  • 5.
                    A charged particle $+q$ in an electric field $\vec{E}$ experiences a force in the direction of the electric field. As a result, its kinetic energy changes. Similarly, the charged particle also experiences a force when it moves in a magnetic field $\vec{B}$. But this magnetic force is perpendicular to both velocity $\vec{v}$ of the charged particle and the magnetic field $\vec{B}$, so it cannot change the kinetic energy of the charged particle. Consider two charged particles 1 and 2 of masses $m$ and $\frac{m}{2}$ having charges $-q$ and $+2q$ respectively. They are accelerated from rest through the same potential difference $V$ and acquire kinetic energy $K_1$ and $K_2$. Then they enter in a region of uniform magnetic field $\vec{B}$ perpendicular to their velocities.


                      • 6.
                        Read the following paragraph and answer the questions that follow.
                        A p-type or n-type semiconductor can be converted into a p-n junction by doping it with suitable impurity. The motion of majority charge carriers causes diffusion current across the junction while the barrier electric field causes motion of minority carriers for drift current. In case of unbiased diode, the diffusion and drift currents are equal. This equilibrium is disturbed by the biasing batteries. Diodes, therefore, allow currents in one direction. This property of diode is used in making rectifiers.

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