+917011494251 contact@prexms.com
Login
Login
Formulas

Formula Library

Learn from categorized formulas

Showing 24 of 341 formulas Page 8 of 15

Total Energy of Harmonic Oscillator

Physics → Mechanics → Oscillations → Energy
$$E = \frac{1}{2} k A^2$$
Total mechanical energy (sum of kinetic and potential) of an object in SHM.
📖 Physics 📚 Oscillations

Newton's Law of Universal Gravitation

Physics → Classical Mechanics → Gravitation → Universal Gravitation
$$F = G\frac{m_1 m_2}{r^2}$$
Attractive force between two masses is proportional to product of masses and inversely proportional to square of distance.
📖 Physics 📚 Gravitation

Wave Speed Equation

Physics → Waves and Oscillations → Wave Properties → Wave Speed
$$v = f\lambda$$
Speed of a wave equals frequency times wavelength.
📖 Physics 📚 Wave Properties

Simple Harmonic Motion Period (Spring)

Physics → Waves and Oscillations → Simple Harmonic Motion → Mass-Spring System
$$T = 2\pi\sqrt{\frac{m}{k}}$$
Period of oscillation for a mass on a spring.
📖 Physics 📚 Simple Harmonic Motion

Electric Field (Point Charge)

Physics → Electricity and Magnetism → Electrostatics → Electric Field
$$E = k\frac{q}{r^2}$$
Electric field magnitude due to a point charge.
📖 Physics 📚 Electrostatics

Magnetic Force on Moving Charge

Physics → Electricity and Magnetism → Magnetic Fields → Magnetic Force
$$F = qvB\sin\theta$$
Force on a charged particle moving in a magnetic field.
📖 Physics 📚 Magnetic Fields

Capacitance (Parallel Plate)

Physics → Electricity and Magnetism → Capacitance → Parallel Plate Capacitor
$$C = \epsilon_0\frac{A}{d}$$
Capacitance of parallel plate capacitor with vacuum dielectric.
📖 Physics 📚 Capacitance

Thin Lens Equation

Physics → Optics → Geometric Optics → Lenses
$$\frac{1}{f} = \frac{1}{d_o} + \frac{1}{d_i}$$
Relates focal length, object distance, and image distance for thin lenses.
📖 Physics 📚 Geometric Optics

Magnification

Physics → Optics → Geometric Optics → Magnification
$$M = -\frac{d_i}{d_o} = \frac{h_i}{h_o}$$
Ratio of image height to object height, negative indicates inversion.
📖 Physics 📚 Geometric Optics

Diffraction Grating

Physics → Optics → Physical Optics → Diffraction
$$d\sin\theta = m\lambda$$
Condition for constructive interference in diffraction grating.
📖 Physics 📚 Physical Optics

Half-Life

Physics → Nuclear Physics → Radioactivity → Half-life
$$t_{1/2} = \frac{\ln 2}{\lambda}$$
Time for half of radioactive nuclei to decay.
📖 Physics 📚 Radioactivity

Stokes' Law (Viscous Drag)

Physics → Fluid Mechanics → Viscosity → Drag Force
$$F_d = 6\pi\eta r v$$
Viscous drag force on a small sphere moving through a fluid.
📖 Physics 📚 Viscosity

Bernoulli's Equation

Physics → Fluid Mechanics → Fluid Dynamics → Bernoulli's Principle
$$P + \frac{1}{2}\rho v^2 + \rho gh = \text{constant}$$
Conservation of energy for steady, incompressible, inviscid flow.
📖 Physics 📚 Fluid Dynamics

Continuity Equation (Fluid)

Physics → Fluid Mechanics → Fluid Dynamics → Continuity
$$A_1 v_1 = A_2 v_2$$
Mass conservation for incompressible flow: product of cross-sectional area and speed is constant.
📖 Physics 📚 Fluid Dynamics

Thermal Expansion (Linear)

Physics → Thermodynamics → Thermal Properties → Expansion
$$\Delta L = \alpha L_0 \Delta T$$
Change in length due to temperature change.
📖 Physics 📚 Thermal Properties

Specific Heat Capacity

Physics → Thermodynamics → Heat Transfer → Calorimetry
$$Q = mc\Delta T$$
Heat required to change temperature of a substance.
📖 Physics 📚 Heat Transfer

Molarity Dilution

Chemistry → Solutions → Dilution → Concentration
$$M_1 V_1 = M_2 V_2$$
Moles of solute conserved during dilution.
📖 Chemistry 📚 Dilution

pH Definition

Chemistry → Acid-Base Chemistry → pH and pOH → Acidity Scale
$$\text{pH} = -\log_{10}[\text{H}^+]$$
Measure of hydrogen ion concentration in solution.
📖 Chemistry 📚 pH and pOH

Equilibrium Constant

Chemistry → Chemical Equilibrium → Equilibrium Constants → Law Of Mass Action
$$K_c = \frac{[\text{C}]^c[\text{D}]^d}{[\text{A}]^a[\text{B}]^b}$$
Ratio of product to reactant concentrations at equilibrium for reaction $aA + bB \rightleftharpoons cC + dD$.
📖 Chemistry 📚 Equilibrium Constants

First Order Reaction Kinetics

Chemistry → Chemical Kinetics → Reaction Rates → Integrated Rate Laws
$$[A]_t = [A]_0 e^{-kt}$$
Concentration of reactant decreases exponentially for first-order reaction.
📖 Chemistry 📚 Reaction Rates

Second Order Reaction (One Reactant)

Chemistry → Chemical Kinetics → Reaction Rates → Integrated Rate Laws
$$\frac{1}{[A]_t} = \frac{1}{[A]_0} + kt$$
Reciprocal concentration increases linearly for second-order reaction.
📖 Chemistry 📚 Reaction Rates

Activation Energy (Arrhenius Form)

Chemistry → Chemical Kinetics → Temperature Dependence → Arrhenius Equation
$$k = A e^{-E_a/(RT)}$$
Temperature dependence of rate constant.
📖 Chemistry 📚 Temperature Dependence

Radius of nth Bohr Orbit

Physics → Quantum Mechanics → Atomic Structure → Bohr Model
$$r_n = \frac{n^2 h^2 \epsilon_0}{\pi m e^2} = n^2 a_0$$
Radius of electron orbit in hydrogen atom according to Bohr model.
📖 Physics 📚 Atomic Structure

Energy Levels in Bohr Model

Physics → Quantum Mechanics → Atomic Structure → Bohr Model
$$E_n = -\frac{m e^4}{8 \epsilon_0^2 h^2 n^2} = -\frac{13.6\,\text{eV}}{n^2}$$
Energy of electron in nth orbit of hydrogen atom.
📖 Physics 📚 Atomic Structure
Get In Touch

We're Here to Help You

Have questions about programs? Need guidance on which course fits you? Our team responds fast.

Talk to an Expert

Our counsellors help you pick the right program for your exam goal and timeline — completely free of charge.

Our Office

GRAWIO BANJARI INDUSTRIES PRIVATE LIMITED HD 463 WEWORK DLF FORUM, CYBERCITY PHASE III, DLF QE, Dlf Qe

Email Us

contact@prexms.com

Call / WhatsApp

+917011494251
🕐 Office Hours
Monday – Saturday 10 AM – 6 PM Open
Sunday Closed
📍 Walk in for free counselling — no appointment needed

Send a Message