In an electromagnetic wave the energy density associated with magnetic field will be
$\frac{1}{2}\,L{I^2}$
$\frac{{{B^2}}}{{2{\mu _0}}}$
$\frac{{1\,}}{2}{\mu _0}{B^2}$
$\frac{{1\,}}{2}\frac{{{\mu _0}}}{{{B^2}}}$
Consider an electromagnetic wave propagating in vacuum . Choose the correct statement
An electromagnetic wave travelling in the $x-$ direction has frequency of $2 \times 10^{14}\,Hz$ and electric field amplitude of $27\,Vm^{-1}$ . From the options given below, which one describes the magnetic field for this wave ?
In propagation of electromagnetic waves the angle between the direction of propagation and plane of polarisation is
A particle of mass $M$ and positive charge $Q$, moving with a constant velocity $\overrightarrow{ u }_1=4 \hat{ i } ms ^{-1}$, enters a region of uniform static magnetic field normal to the $x-y$ plane. The region of the magnetic field extends from $x=0$ to $x$ $=L$ for all values of $y$. After passing through this region, the particle emerges on the other side after $10$ milliseconds with a velocity $\overline{ u }_2=2(\sqrt{3} \hat{ i }+\hat{ j }) ms ^{-1}$. The correct statement$(s)$ is (are) :
$(A)$ The direction of the magnetic field is $-z$ direction.
$(B)$ The direction of the magnetic field is $+z$ direction
$(C)$ The magnitude of the magnetic field $\frac{50 \pi M }{3 Q }$ units.
$(D)$ The magnitude of the magnetic field is $\frac{100 \pi M}{3 Q}$ units.
Give equation which relate $c,{\mu _0},{ \in _0}$.