Which of the field patterns given below is valid for electric field as well as for magnetic field?
IIT 2011, Diffcult
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$100\,mA$ current gives a full scale deflection in a galvanometer of $2\,\Omega $ resistance. The resistance connected with the galvanometer to convert it into a voltmeter to measure $5\,V$ is ............... $\Omega $
A galvanometer having a resistance $G$ and current $I_g$ flowing in it, produces full scale defection. If $S_1$ is the value of shunt which converts it into an ammeter of range $0-I$ and $S_2$ is the value of shunt for range $0-8I$ . Then the ratio $\frac {S_1}{S_2}$ will be
A proton of mass $1.67 \times {10^{ - 27}}\,kg$ and charge $1.6 \times {10^{ - 19}}\,C$ is projected with a speed of $2 \times {10^6}\,m/s$ at an angle of $60^\circ $ to the $X - $ axis. If a uniform magnetic field of $0.104$ $Tesla$ is applied along $Y - $ axis, the path of proton is
A magnet of magnetic moment $50 \hat i\, Am^2$ is placed along the $x-$ axis in a magnetic field $\vec B = (0.5\hat i + 3.0\hat j)\,T$. The torque acting on the magnet is
Two circular coils $P$ and $Q$of $100$ turns each have same radius of $\pi \mathrm{cm}$. The currents in $\mathrm{P}$ and $\mathrm{R}$ are $1 \mathrm{~A}$ and $2 \mathrm{~A}$ respectively. $\mathrm{P}$ and $\mathrm{Q}$ are placed with their planes mutually perpendicular with their centers coincide. The resultant magnetic field induction at the center of the coils is $\sqrt{\mathrm{x}} \mathrm{mT}$, where X=___.
$\left[\text { Use } \mu_0=4 \pi \times 10^{-7} \mathrm{TmA}^{-1}\right]$
A particle of charge $q$, mass $m$ enters in a region of magnetic field $B$ with velocity $V_0 \widehat i$. Find the value of $d$ if the particle emerges from the region of magnetic field at an angle $30^o$ to its ititial velocity:-
If an electron revolves around a nucleus in a circular orbit of radius $R$ with frequency $n$, then the magnetic field produced at the centre of the nucleus will be