A massless square loop, of wire of resistance $10\,\Omega$. supporting a mass of $1\,g$. hangs vertically with one of its sides in a uniform magnetic field of $10^3\, G$, directed outwards in the shaded region. A dc voltage $V$ is applied to the loop. For what value of V. the magnetic force will exactly balance the weight of the supporting mass of $1\,g$ ? (If sides of the loop $=10\,cm , g =10\,ms ^{-2}$ )
  • A$\frac{1}{10}\,V$
  • B$1\,V$
  • C$100\,V$
  • D$10\,V$
JEE MAIN 2023, Medium
art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Similar Questions

  • 1
    A charged particle is released from rest in a region of steady and uniform electric and magnetic fields which are parallel to each other. The particle will move in a
    View Solution
  • 2
    An infinitely long wire, located on the $z$-axis, carries a current $/$ along the $+z$-direction and produces the magnetic field $\vec{B}$. The magnitude of the line integral $\int \vec{B} \cdot d l$ along a straight line from the point $(-\sqrt{3} a, a, 0)$ to $(a, a, 0)$ is given by [ $\mu_0$ is the magnetic permeability of free space.]
    View Solution
  • 3
    When a current of $5\ mA$ is passed through a galvanometer having a coil of resistance $15\ \Omega$, it shows full scale deflection. The value of the resistance to be put in series with the galvanometer to convert it into to voltmeter of range $0 - 10\ V$ is
    View Solution
  • 4
    Two very long, straight, parallel wires carry steady currents $I$ and $-I$ respectively. The distance  etween the wires is $d$. At a certain instant of time, a point charge $q$ is at a point equidistant from the two wires, in the plane of the wires. Its instantaneous velocity $v$ is perpendicular to the plane of wires. The magnitude of the force due to the magnetic field acting on the charge at this instant is
    View Solution
  • 5
    A plastic disc of radius $R$ has a charge $q$ uniformly distributed over its surface. If the disc is rotated at an angular frequency $\omega$ about it axis, the induction at the center of the disc is :-
    View Solution
  • 6
    A moving coil galvanometer has resistance $50\,\Omega $ and it indicates full deflection at $4\,mA$ current. A voltmeter is made using this galvanometer and a $5\,k\Omega $ resistance. The maximum voltage, that can be measured using this voltamenter, will be close to ......$V$
    View Solution
  • 7
    A triangular loop of side $l$ carries a current $I$. It is placed in a magnetic field $B$ such that the plane of the loop is in the direction of $B$. The torque on the loop is
    View Solution
  • 8
    The current sensitivity of moving coil galvanometer is increased by $25 \%$. This increase is achieved only by changing in the number of turns of coils and area of cross section of the wire while keeping the resistance of galvanometer coil constant. The percentage change in the voltage sensitivity will be $...........\%$
    View Solution
  • 9
    Which of the following particle will describe the smallest circle when projected with the same  velocity perpendicular to the magnetic field ?
    View Solution
  • 10
    The magnetic field due to a current carrying circular loop of radius $3\, cm$ at a point on the axis at a distance of $4\, cm$ from the centre is $54\, \mu T$. What will be its value at the centre of the loop.......$\mu  T$
    View Solution