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Q.
What is the formula of normality? How do I calculate normality?
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Detailed Solution
Chemistry Formulas
Formula Name | Formula | Variables | Application |
Normality | N = (Number of gram equivalents of solute) / (Volume of solution in L) | N = Normality Gram equivalents = Mass/Equivalent weight | Used to express concentration of solutions in acid-base and redox reactions |
Normality (Alternative) | N = M × n | N = Normality M = Molarity n = Number of equivalents | Converting molarity to normality |
Molarity | M = (Number of moles of solute) / (Volume of solution in L) | M = Molarity Moles = Mass/Molar mass | Most common concentration unit |
Molality | m = (Number of moles of solute) / (Mass of solvent in kg) | m = Molality Mass of solvent in kg | Temperature-independent concentration |
Equivalent Weight | Equivalent Weight = Molecular Weight / Valency | Valency = Number of replaceable H⁺ or OH⁻ ions | Used in normality calculations |
Statistics Formulas
Formula Name | Formula | Variables | Application |
Normal Distribution (PDF) | f(x) = (1/(σ√(2π))) × e^(-½((x-μ)/σ)²) | f(x) = Probability density μ = Mean σ = Standard deviation x = Variable | Describes bell-shaped probability distribution |
Standard Normal Distribution | Z = (X - μ) / σ | Z = Standard normal variable X = Original variable μ = Population mean σ = Population standard deviation | Converting to standard normal form |
Normal Distribution (CDF) | Φ(z) = ∫_{-∞}^z (1/√(2π)) × e^(-t²/2) dt | Φ(z) = Cumulative probability z = Standard normal variable | Finding probabilities under normal curve |
Physics Formulas
Formula Name | Formula | Variables | Application |
Normal Force (Horizontal Surface) | N = mg | N = Normal force m = Mass g = Acceleration due to gravity | Force perpendicular to surface |
Normal Force (Inclined Plane) | N = mg cos θ | θ = Angle of inclination | Object on inclined surface |
Normal Stress | σ = F / A | σ = Normal stress F = Applied force A = Cross-sectional area | Stress perpendicular to surface |
Normal Strain | ε = ΔL / L₀ | ε = Normal strain ΔL = Change in length L₀ = Original length | Deformation per unit length |
Mathematics Formulas
Formula Name | Formula | Variables | Application |
Vector Normalization | û = u / ||u|| | û = Unit vector u = Original vector ||u|| = Magnitude of vector | Creating unit vectors |
L2 Normalization | x_norm = x / √(Σx²) | x_norm = Normalized value x = Original value Σx² = Sum of squares | Data preprocessing in machine learning |
Min-Max Normalization | x_norm = (x - x_min) / (x_max - x_min) | x_norm = Normalized value x_min = Minimum value x_max = Maximum value | Scaling data to [0,1] range |
Normal Vector to Line | n⃗ = (A, B) for line Ax + By + C = 0 | n⃗ = Normal vector A, B = Coefficients | Perpendicular vector to line |
Normal Vector to Plane | n⃗ = (A, B, C) for plane Ax + By + Cz + D = 0 | n⃗ = Normal vector A, B, C = Coefficients | Perpendicular vector to plane |
Economics Formulas
Formula Name | Formula | Variables | Application |
Normal Profit | Normal Profit = Total Revenue - (Explicit Costs + Implicit Costs) | When Normal Profit = 0, firm earns exactly its opportunity cost | Break-even point in economics |
Economic Profit | Economic Profit = Total Revenue - Total Opportunity Cost | Total Opportunity Cost includes both explicit and implicit costs | True economic performance measure |
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