An electron has mass $9 \times {10^{ - 31}}\,kg$ and charge $1.6 \times {10^{ - 19}}C$ is moving with a velocity of ${10^6}\,m/s$, enters a region where magnetic field exists. If it describes a circle of radius $0.10\, m$, the intensity of magnetic field must be
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A proton (mass $ = 1.67 \times {10^{ - 27}}\,kg$ and charge $ = 1.6 \times {10^{ - 19}}\,C)$ enters perpendicular to a magnetic field of intensity $2$ $weber/{m^2}$ with a velocity $3.4 \times {10^7}\,m/\sec $. The acceleration of the proton should be
A long wire $AB$ is placed on a table. Another wire $PQ$ of mass $1.0\, g$ and length $50\, cm$ is set to slide on two rails $PS$ and $QR$. A current of $50\,A$ is passed through the wires. At what distance above $AB$, will the wire $PQ$ be in equilibrium.....$mm$
A long solenoid of radius $1\,mm$ has $100 $turns per $mm$. If $1\,A$ current flows in the solenoid, the magnetic field strength at the centre of the solenoid is:
Through two parallel wires $A$ and $B$, $10$ and $2$ $ampere$ of currents are passed respectively in opposite direction. If the wire $A$ is infinitely long and the length of the wire $B$ is $ 2\, m$, the force on the conductor $B$, which is situated at $10\, cm$ distance from $A$ will be
The magnetic field at the centre of a circular current carrying-conductor of radius $r$ is $B_c$. The magnetic field on its axis at a distance $r$ from the centre is $B_a$. The value of $B_c$ : $B_a$ will be
For full scale deflection of total $50$ divisions, $50\,{mV}$ voltage is required in galvanometer. The resistance of galvanometer if its current sensitivity is $2\, {div} / {mA}$ will be $.....\Omega$
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 rectangular coil (Dimension $5\,cm\times 2\,cm$ ) with $100\,turns,$ carrying a current of $3\,A$ in the clock-wise direction, is kept centered at the origin and in the $X-Z$ plane. A magnetic field of $1\,T$ is applied along $X-$ axis. If the coil is tilted through $45^o$ about $Z-$ axis, then the torque on the coil is.....$Nm$
Two metallic rings $\mathrm{A}$ and $\mathrm{B}$, identical in shape and size but having different resistivities $\rho_A$ and $\rho_B$, are kept on top of two identical solenoids as shown in the figure. When current $I$ is switched on in both the solenoids in identical manner, the rings $\mathrm{A}$ and $\mathrm{B}$ jump to heights $h_A$ and $h_B$, respectively, with $h_A>h_B$. The possible relation$(s)$ between their resistivities and their masses $m_A$ and $m_B$ is(are)