An electron enters a region where electrostatic field is $20\,N/C$ and magnetic field is $5\,T$. If electron passes undeflected through the region, then velocity of electron will be.....$m{s^{ - 1}}$
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A circular coil having $N\,turns$ and radius $r$ carries a current. It is held in the $XZ$ plane in a magnetic field $B\hat i$ . The torque on the coil due to the magnetic field is
A galvanometer of resistance $G$ is converted into a voltmeter of range $0-1\, V$ by connecting a resistance $R _{1}$ in series with it. The additional resistance that should be connected in series with $R _{1}$ to increase the range of the voltmeter to $0-2\, V$ will be
As shown in the figure, a metallic rod of linear density $0.45\,kg\,m ^{-1}$ is lying horizontally on a smooth incline plane which makes an angle of $45^{\circ}$ with the horizontal. The minimum current flowing in the rod required to keep it stationary, when $0.15\,T$ magnetic field is acting on it in the vertical upward direction, will be $....A$ $\left\{\right.$ Use $\left.g=10 m / s ^{2}\right\}$
An electron is the ground state of hydrogen atom is revolving in anticlockwise direction in a circular orbit of radius $'r'$. The atom is placed is a unifom magnetic field $B$ in such a way magnetic moment of orbital electron makes an angle $30^o$ with the magnetic field. The torque experienced by orbital electon is
The figure shows a conducting loop $ABCDA$ placed in a uniform magnetic field perpendicular to its plane. The part $ABC$ is the $(3/4)^{th}$ portion of the square of side length $l$ . The part $ADC$ is a circular arc of radius $R$ . The points $A$ and $C$ are connected to a battery which supply a current $I$ to the circuit. The magnetic force on the loop due to the field $B$ is
A long straight wire of radius a carries a steady current I. The current is uniformly distributed across its cross section. The ratio of the magnetic field at $\frac{a}{2}$ and $2$a from axis of the wire is:
Assertion : Free electrons always keep on moving in a conductor even then no magnetic force act on them in magnetic field unless a current is passed through it.
Reason : The average velocity of free electron is zero.
A singly ionized magnesium atom $(A=24)$ ion is accelerated to kinetic energy $5\,keV$ and is projected perpendicularly into a magnetic field $B$ of the magnitude $0.5\,T$. The radius of path formed will be___________ $cm$