If a particle of charge ${10^{ - 12}}\,coulomb$ moving along the $\hat x - $ direction with a velocity ${10^5}\,m/s$ experiences a force of ${10^{ - 10}}\,newton$ in $\hat y - $ direction due to magnetic field, then the minimum magnetic field is
A$6.25 \times {10^3}\,tesla$ in $\hat z - $ direction
B${10^{ - 15}}\,tesla$ in $\hat z - $ direction
C$6.25 \times {10^{ - 3}}\,tesla$ in $\hat z - $ direction
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A circular coil of $20$ $turns$ and radius $10\, cm$ is placed in uniform magnetic field of $0.10\, T$ normal to the plane of the coil. If the current in coil is $5\, A$, then the torque acting on the coil will be...... $Nm$
The magnetic force acting on charged particle of charge $2\,\mu C$ in magnetic field of $2\, T$ acting in $y-$ direction , when the particle velocity is $\left( {2\hat i + 3\hat j} \right) \times {10^6}\,m{s^{ - 1}}$ is
The coil of a galvanometer consists of $100$ $turns$ and effective area of $1\, square-cm$. The restoring couple is ${10^{ - 8}}\,N - m/radian$. The magnetic field between the pole pieces is $5\, T$. The current sensitivity of this galvanometer will be
The electric current in a circular coil of $2$ turns produces a magnetic induction $B _{1}$ at its centre. The coil is unwound and is rewound into a circular coil of $5$ turns and the same current produces a magnetic induction $B _{2}$ at its centre.The ratio of $\frac{ B _{2}}{ B _{1}}$ is.
A proton and an $\alpha -$ particle (with their masses in the ratio of $1 : 4$ and charges in the ratio of $1:2$ are accelerated from rest through a potential difference $V$. If a uniform magnetic field $(B)$ is set up perpendicular to their velocities, the ratio of the radii $r_p : r_{\alpha }$ of the circular paths described by them will be
A galvanmeter has a coil of resistance $200 \Omega$ with a full scale deflection at $20 \mu \mathrm{A}$. The value of resistance to be added to use it as an ammeter of range $(0-20) \mathrm{mA}$ is: