Basic Concept of Physics | विमीय विश्लेषण (Dimensional Analysis) | Lec 3 | By Gopal sir | Doubtnut

Physical Quantities, Units, Dimensional Analysis

Dimensional Analysis(विमीय विश्लेषण)|Uses Of Dimensional Analysis(आयामी विश्लेषण के उपयोग)

Dimensional Analysis(विमीय विश्लेषण)|Uses Of Dimensional Analysis(आयामी विश्लेषण के उपयोग)

Conversion Of Units|Dimensional Analysis & Applications|Questions|Principle Of Homogeneity Of Dimensions|To Check Dimensional Correctness Of Physical Equation|To Eshtablish Relation among Physical Quantities

The volume of liquid flowing per second is called the volume flow rate Q and has the dimensions of [L]^(3)//[T] . The flow rate of a liquid through a hypodermic needle during an injection can be estimated with the following equation: Q=(piR^(n)(P_(2)-P_(1)))/(8etaL) The length and radius of the needle are L and R, respectively, both of which have the dimension [L]. The pressures at opposite ends of the needle are P_(2)andP_(1) , both of which have the dimensions of [M]//[L][T]^(2) . The symbol eta ' represents the viscosity of the liquid and has the dimensions of [M]//[L][T] . The symbol pi stands for pi and. like the number 8 and the exponent n, has no dimensions. Using dimensional analysis, determine the value of n in the expression for Q.

A : Physical relations involving addition and subtraction cannot be derived by dimensional analysis. R : Numerical constants cannot be deduced by the methos of dimensions.

Units (मात्रक)|Dimensional Analysis (विमीय विश्लेषण)|Questions (प्रश्न)|OMR|Summary

While solving a physics problem you perform a series of algebraic manipulations that lead to a mathematical expression for distance. If F = Force, a = acceleration, v = velocity, m = mass, t = time, and N = normal force, use dimensional analysis to find which of the following expressions could be INCORRECT for distance.

Which one of the given re sponses would be a meaningful order of the following ? 1. Implementation 2. Conceptual Modelling 3. Requirements Analysis 4. Logical Modelling 5. Physical Model 6. Schema Refinement

The heat produced in a wire carrying an electric current depends on the current, the resistance and the time. Assuming that the dependuance is of the product of powers type, guress an eqn. between these quantites uning dimesional analysis. The dimensional formula of resistance is ML^2 A^(-2) T^(-3) and heat is a form of energy.