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A current carrying loop is placed in a uniform magnetic field in four different orientations, $I$, $II$, $III$ & $IV$ arrange them in the decreasing order of potential Energy
A rectangular region of dimensions ( $\omega \times l(\omega) \ll l$ ) has a constant magnetic field into the plane of the paper as shown in the figure below. On one side, the region is bounded by a screen. On the other side, positive ions of mass $m$ and charge $q$ are accelerated from rest and towards the screen by a parallel plate capacitor at constant potential difference $V < 0$ and come out through a small hole in the upper plate. Which one of the following statements is correct regarding the charge on the ions that hit the screen?
A magnet of magnetic moment $50\,\hat i\,A{\rm{ - }}{m^2}$ is placed along the $x-$ axis in a magnetic field $\overrightarrow B = (0.5\,\hat i + 3.0\hat j)\,T.$ The torque acting on the magnet is
A loop carrying current $I$ lies in the $x$-y plane as shown in the figure. the unit vector $\hat{ k }$ is coming out of the plane of the paper. the magnetic moment of the current loop is :
Two particles $\mathrm{X}$ and $\mathrm{Y}$ having equal charges are being accelerated through the same potential difference. Thereafter they enter normally in a region of uniform magnetic field and describes circular paths of radii $R_1$ and $R_2$ respectively. The mass ratio of $\mathrm{X}$ and $\mathrm{Y}$ is :
A uniform magnetic field of $3000\,G$ is established in the positive $z-$ direction. A rectangular loop of side $10\,cm$ and $5\,cm$ carries a current of $12\,A.$ What is the magnitude of placed as shown torque on the loop is
A beam of well collimated cathode rays travelling with a speed of $5 \times {10^6}\,m{s^{ - 1}}$ enter a region of mutually perpendicular electric and magnetic fields and emerge undeviated from this region. If $| B |=0.02\; T$, the magnitude of the electric field is
A current of $0.1\, A$ circulates around a coil of $100$ $turns$ and having a radius equal to $5\, cm$. The magnetic field set up at the centre of the coil is $({\mu _0} = 4\pi \times {10^{ - 7}}\,weber/ampere - metre)$