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A thin flexible wire of length $\mathrm{L}$ is connected to two adjacent fixed points and carries a current $\mathrm{I}$ in the clockwise direction, as shown in the figure. When the system is put in a uniform magnetic field of strength $B$ going into the plane of the paper, the wire takes the shape of a circle. The tension in the wire is
A particle of charge $-q$ and mass $m$ enters a uniform magnetic field $\vec{B}$ at $A$ with speed $v_1$ at an angle $\alpha$ and leaves the field at $C$ with speed $v_2$ at an angle $\beta$ as shown. Then
Two ions have equal masses but one is singly ionized and second is doubly ionized. They are projected from the same place in a uniform transverse magnetic field with same velocity then:
$(a)$ Both ions will go along circles of equal radii
$(b)$ The radius of circle described by the single ionized charge is double of radius of circle described by doubly ionized charge
$(c)$ Both circle do not touches to each other
$(d)$ Both circle touches to each other
A galvanometer of $25 \,\Omega$ resistance can read a maximum current of $6\,mA$. It can be used as a voltmeter to measure a maximum of $6\, V$ by connecting a resistance to the galvanometer. Identify the correct choice in the given answers
A moving coil galvanometer of resistance $100 \,\Omega$ is used as an ammeter using a resistance $0.1 \,\Omega$. The maximum deflection current in the galvanometer is $100\,\mu A$. Find the minimum current in the circuit so that the ammeter shows maximum deflection ............... $mA$
The current of $5 \mathrm{~A}$ flows in a square loop of sides $1$ $\mathrm{m}$ is placed in air. The magnetic field at the centre of the loop is $\mathrm{X} \sqrt{2} \times 10^{-7} \mathrm{~T}$. The value of $\mathrm{X}$ is____.
A rectangular coil of length $0 .12\, m$ and width $0.1\, m$ having $50$ turns of wire is suspended vertically in a uniform magnetic field of strength $0.2\,\, Weber/m^2.$ The coil carries a current of $2 \,\,A.$ If the plane of the coil is inclined at an angle of $30^o $ with the direction of the field, the torque required to keep the coil in stable equilibrium will be .......$Nm$