What is Dimensional Analysis ? State uses of Dimensional Analysis.
What is Dimensional Analysis ? State uses of Dimensional Analysis.
A method of obtaining the solution of certain problems in physics by using dimensional formula is called dimensional analysis.
Uses of Dimensional Analysis :
$(a)$ To obtain the relation between the units of some physical quantity in two different systems of units.
$(b)$ To check the dimensional consistency of an equation connecting different physical quantities.
$(c)$ To derive the equation for a physical quantity in terms of the other (related) physical quantities.
Similar Questions
If the speed of light $(c)$, acceleration due to gravity $(g)$ and pressure $(p)$ are taken as the fundamental quantities, then the dimension of gravitational constant is
If the speed of light $(c)$, acceleration due to gravity $(g)$ and pressure $(p)$ are taken as the fundamental quantities, then the dimension of gravitational constant is
If $P$ represents radiation pressure, $c$ represents speed of light and $Q$ represents radiation energy striking a unit area per second, then non-zero integers $x,\,y$ and $z$ such that ${P^x}{Q^y}{c^z}$ is dimensionless, are
If $P$ represents radiation pressure, $c$ represents speed of light and $Q$ represents radiation energy striking a unit area per second, then non-zero integers $x,\,y$ and $z$ such that ${P^x}{Q^y}{c^z}$ is dimensionless, are
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A force is represented by $\mathrm{F}=a \mathrm{x}^2+\mathrm{bt}^{1 / 2}$. Where $\mathrm{x}=$ distance and $\mathrm{t}=$ time. The dimensions of $\mathrm{b}^2 / \mathrm{a}$ are :
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If orbital velocity of planet is given by $v = {G^a}{M^b}{R^c}$, then
If orbital velocity of planet is given by $v = {G^a}{M^b}{R^c}$, then
Which of the following is not a dimensionless quantity?
Which of the following is not a dimensionless quantity?
- [JEE MAIN 2021]