If $\alpha $ and $\beta - $ particles are moving with equal velocity perpendicular to the flux density $B$, then the radii of their paths will be
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A small circular loop of conducting wire has radius $a$ and carries current $I$. It is placed in a uniform magnetic field $\mathrm{B}$ perpendicular to its plane such that when rotated slightly about its diameter and released, it starts performing simple harmonic motion of time period $T$. If the mass of the loop is $m$ then
A uniform magnetic field $B$ and a uniform electric field $E$ act in a common region. An electron is entering this region of space. The correct arrangement for it to escape undeviated is
Two long current carrying conductors are placed parallel to each other at a distance of $8 \,cm$ between them. The magnitude of magnetic field produced at mid-point between the two conductors due to current flowing in them is $300 \,\mu T$. The equal current flowing in the two conductors is ...............
Electron moves at right angles to a magnetic field of $1.5 \times 10^{-2}\,tesla$ with speed of $6 \times 10^7\,m/s$. If the specific charge of the electron is $1.7 \times 10^{11}\,C/kg$. The radius of circular path will be......$cm$
A voltmeter of resistance $1000\,\Omega $ gives full scale deflection when a current of $100\, mA$ flow through it. The shunt resistance required across it to enable it to be used as an ammeter reading $1\, A$ at full scale deflection is ............... $\Omega $
An electron having charge $1.6 \times {10^{ - 19}}\,C$ and mass $9 \times {10^{ - 31}}\,kg$ is moving with $4 \times {10^6}\,m{s^{ - 1}}$ speed in a magnetic field $2 \times {10^{ - 1}}\,tesla$ in a circular orbit. The force acting on electron and the radius of the circular orbit will be
A tightly wound $100$ turns coil of radius $10 \mathrm{~cm}$ carries a current of $7 \mathrm{~A}$. The magnitude of the magnetic field at the centre of the coil is (Take permeability of free space as $4 \pi \times 10^{-7} \mathrm{SI}$ units):