Dimensional Analysis: Simple Pendulum Time Period Solved Question
by Learn how to derive the simple pendulum time-period relation using dimensional analysis. Step-by-step Class 11 Physics solution, common mistakes and a quick practice question.
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An infinitely long wire, located on the z-axis, carries a current 
along the -direction and produces the magnetic field . The magnitude of the line integral along a straight line from the point to is given by:
along the 
-direction and produces the magnetic field 
. The magnitude of the line integral 
along a straight line from the point 
to 
is given by: ![\[\text{[} \mu_0 \text{ is the magnetic permeability of free space.] }\]](https://physicsqanda.com/wp-content/ql-cache/quicklatex.com-6fb2ec46352283c27508e5caa3e72929_l3.png "Rendered by QuickLaTeX.com")
Problem: An infinitely long wire, located on the z-axis, carries a current along the -direction and produces the magnetic field . The magnitude of the …
A dimensionless quantity is constructed in terms of electronic charge , permittivity of free space , Planck’s constant , and speed of light . If the dimensionless quantity is written as and is a non-zero integer, then is given by
, permittivity of free space 
, Planck’s constant 
, and speed of light 
. If the dimensionless quantity is written as 
and 
is a non-zero integer, then 
is given byProblem: A dimensionless quantity is constructed in terms of electronic charge , permittivity of free space , Planck’s constant , and speed of light . …