A particle of mass $m = 1.67 \times 10^{-27}\, kg$ and charge $q = 1.6 \times 10^{-19} \, C$ enters a region of uniform magnetic field of strength $1$ $tesla$ along the direction shown in the figure. If the direction of the magnetic field is along the outward normal to the plane of the paper, then the time spent by the particle in the region of the magnetic field after entering it at $C$ is nearly :-......$ns$
Diffcult
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A uniform conducting wire of length is $24 {a}$, and resistance ${R}$ is wound up as a current carrying coil in the shape of an equilateral triangle of side $'a'$ and then in the form of a square of side $'a'.$ The coil is connected to a voltage source ${V}_{0}$. The ratio of magnetic moment of the coils in case of equilateral triangle to that for square is $1: \sqrt{y}$ where $y$ is ..... .
In an experiment, electrons are accelerated, from rest, by applying, a voltage of $500 \,V.$ Calculate the radius of the path if a magnetic field $100\,mT$ is then applied. [Charge of the electron $= 1.6 \times 10^{-19}\,C$ Mass of the electron $= 9.1 \times 10^{-31}\,kg$ ]
A circular loop of area $0.01\,{m^2}$ carrying a current of $10\, A$, is held perpendicular to a magnetic field of intensity $0.1\,T$. The torque acting on the loop is......$N-m$
A single circular loop of radius $1.00\, m$ carries a current of $10.0\, mA$. It is placed in $a$ uniform magnetic field of magnitude $0.500\, T$ that is directed parallel to the plane of the loop as suggested in the figure. The magnitude of the torque exerted on the loop by the magnetic field is.
An insulating rod of length $l$ carries a charge $q$ distributed uniformly on it. The rod is pivoted at an end and is rotated at a frequency $f$ about a fixed perpendicular $t$ axis. The magnetic moment of the system is
A long straight wire in the horizontal plane carries a current of $50\, A$ in north to south direction. Give the magnitude and direction of $B$ at a point $2.5\,m$ east of the wire