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
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A proton and an electron both moving with the same velocity $v$ enter into a region of magnetic field directed perpendicular to the velocity of the particles. They will now move in circular orbits such that
In a hydrogen atom, an electron of mass $m$ and charge $e$ revolves in an orbit of radius $r$ making $n$ revolutions per second. If the mass of hydrogen nucleus is $M$, the magnetic moment associated with the orbital motion of electron is
Which one of the following options represents the magnetic field $\vec{B}$ at $O$ due to the current flowing in the given wire segments lying on the $x y$ plane?
An infinitely long wire carrying current $I$ is along $Y$ axis such that its one end is at point $A(0, b)$ while the wire extends upto $+ \infty .$ The magnitude of magnetic field strength at point $(a, 0)$
A current $I$ flows along the length of a thin walled, long metallic hollow cylinder of radius $R$, distributed uniformly on its surface then pressure on the wall will be
A ring of radius $R$, made of an insulating material carries a charge $Q$ uniformly distributed on it. If the ring rotates about the axis passing through its centre and normal to plane of the ring with constant angular speed $\omega $, then the magnitude of the magnetic moment of the ring is
Two long current carrying thin wires, both with current $I$, are held by insulating threads oflength $L$ and are in equilibrium as shown in the figure, with threads making an angle '$\theta$' with the vertical. If wires have mass $\lambda$ per unit length then the value of $l$ is
($g =$ gravitational acceleration)
A milliammeter of range $10\, mA$ has a coil of resistance $1 \,\Omega$. To use it as voltmeter of range $10\, volt$, the resistance that must be connected in series with it, will be ............. $\Omega $
A cylindrical cavity of diameter a exists inside a cylinder of diameter $2$a shown in the figure. Both the cylinder and the cavity are infinitely long. A uniform current density $J$ flows along the length. If the magnitude of the magnetic field at the point $P$ is given by $\frac{N}{12} \mu_0$ aJ, then the value of $N$ is :