NEET
2026
MCQ
A 100-turn closely wound circular coil of radius 5 cm has a magnetic field of $3.14 \times 10^{-3} \mathrm{~T}$ at its centre. The current flowing through the coil, and the magnitude of the magnetic moment of this coil are, respectively :
(Take $\mu_0=4 \pi \times 10^{-7} \mathrm{~T} \mathrm{~m} / \mathrm{A}$ )
NEET
2026
MCQ
The figure given below shows a long straight solid wire of circular cross-section of radius ' $a$ ' carrying steady current $I$. The current $I$ is uniformly distributed across its cross-section. The plot which correctly represents the variation of magnetic field $(B)$ with distance $(r)$ from the axis of the conductor in the region is :

NEET
2026
MCQ
A current $l_0$ flows through a metallic circular loop of radius $r$ as shown in the figure. Resistance of the segment $A B C$ is half that of $A D C$. Magnitude of magnetic field at the centre $O$ of the loop is :

NEET
2026
MCQ
Two infinitely long parallel conducting wires $A$ and $B$ carry currents $I$ and $2 I$, respectively, in the same direction. The wire $A$ has uniform mass per unit length $\lambda$ and lies on an insulated floor. The wire $B$ is kept fixed at a height $h$ above the floor. The minimum magnitude of $h$ so that the wire $A$ does not rise from the floor is: [ $g$ is the acceleration due to gravity and $\mu_0$ is the permeability of free space.]
NEET
2025
MCQ
A parallel plate capacitor made of circular plates is being charged such that the surface charge density on its plates is increasing at a constant rate with time. The magnetic field arising due to displacement current is:
NEET
2025
MCQ
A model for quantized motion of an electron in a uniform magnetic field $B$ states that the flux passing through the orbit of the electron in $n(h l e)$ where $n$ is an integer, $h$ is Planck's constant and $e$ is the magnitude of electron's charge. According to the model, the magnetic moment of an electron in its lowest energy state will be ( $m$ is the mass of the electron)
NEET
2025
MCQ
An electron (mass $9 \times 10^{-31} \mathrm{~kg}$ and charge $1.6 \times 10^{-19} \mathrm{C}$ ) moving with speed $c / 100(c=$ speed of light) is injected into a magnetic field $\vec{B}$ of magnitude $9 \times 10^{-4} \mathrm{~T}$ perpendicular to its direction of motion. We wish to apply an uniform electric field $\vec{E}$ together with the magnetic field so that the electron does not deflect from its path. Then (speed of light $c=3$ $\times 10^3 \mathrm{~ms}^{-1}$)
NEET
2025
MCQ
A 2 amp current is flowing through two different small circular copper coils having radii ratio $1: 2$. The ratio of their respective magnetic moments will be
NEET
2024
MCQ
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):
NEET
2024
MCQ
A parallel plate capacitor is charged by connecting it to a battery through a resistor. If $I$ is the current in the circuit, then in the gap between the plates:
NEET
2023
MCQ
A long straight wire of length $2 \mathrm{~m}$ and mass $250 \mathrm{~g}$ is suspended horizontally in a uniform horizontal magnetic field of $0.7 \mathrm{~T}$. The amount of current flowing through the wire will be $\left(\mathrm{g}=9.8 \mathrm{~ms}^{-2}\right)$ :
NEET
2023
MCQ
A uniform electric field and a uniform magnetic field are acting along the same direction in a certain region. If an electron is projected in the region such that its velocity is pointed along the direction of fields, then the electron:
NEET
2023
MCQ
A wire carrying a current $I$ along the positive $\mathrm{x}$-axis has length $L$. It is kept in a magnetic field $\overrightarrow{\mathrm{B}}=(2 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}-4 \hat{\mathrm{k}}) \mathrm{T}$. The magnitude of the magnetic force acting on the wire is :
NEET
2023
MCQ
A very long conducting wire is bent in a semi-circular shape from $A$ to $B$ as shown in figure. The magnetic field at point $P$ for steady current configuration is given by :

NEET
2022
MCQ
A closely packed coil having 1000 turns has an average radius of 62.8 cm. If current carried by the wire of the coil is 1 A, the value of magnetic field produced at the centre of the coil will be (permeability of free space $ = 4\pi \times {10^{ - 7}}$ H/m) nearly
NEET
2022
MCQ
The shape of the magnetic field lines due to an infinite long, straight current carrying conductor is
NEET
2022
MCQ
Two very long, straight, parallel conductors A and B carry current of 5 A and 10 A respectively and are at a distance of 10 cm from each other. The direction of current in two conductors is same. The force acting per unit length between two conductors is : ($\mu$0 = 4$\pi$ $\times$ 10$-$7 SI unit)
NEET
2022
MCQ
The magnetic field on the axis of a circular loop of radius 100 cm carrying current $I = \sqrt 2 \,A$, at point 1 m away from the centre of the loop is given by :
NEET
2022
MCQ
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
NEET
2022
MCQ
Given below are two statements:
Statement I : Biot-Savart's law gives us the expression for the magnetic field strength of an infinitesimal current element (Idl) of a current carrying conductor only.
Statement II : Biot-Savart's law is analogous to Coulomb's inverse square law of charge q, with the former being related to the field produced by a scalar source, Idl while the latter being produced by a vector source, q.
In light of above statements choose the most appropriate answer from the options given below.
NEET
2022
MCQ
From Ampere's circuital law for a long straight wire of circular cross-section carrying a steady current, the variation of magnetic field in the inside and outside region of the wire is
NEET
2021
MCQ
A thick current carrying cable of radius 'R' carries current 'I' uniformly distributed across its cross section. The variation of magnetic field B(r) due to the cable with the distance 'r' from the axis of the cable is represented by :
NEET
2021
MCQ
An infinitely long straight conductor carries a current of 5A as shown. An electron is moving with a speed of 10
5 m/s parallel to the conductor. The perpendicular distance between the electron and the conductor is 20cm at an instant. Calculate the magnitude of the force experienced by the electron at that instant.
NEET
2020
MCQ
A long solenoid of 50 cm length having 100 turns carries a current of 2.5 A. The magnetic field at the centre of the solenoid is :
$\left( {{\mu _0} = 4\pi \times {{10}^{ - 7}}Tm{{A}^{-1}}} \right)$
NEET
2019
MCQ
A cylinderical conductor of radius R is carrying a constant current. The plot of the magnitude of the magnetic field. B with the distane d from the centre of the conductor, is correctly represented by the figure :
NEET
2019
MCQ
Ionized hydrogen atoms and $\alpha $-particles with same momenta enters perpendicular to a constant magnetic field, B. The ratio of their radii of their paths rH : r$\alpha $ will be :
NEET
2018
MCQ
A metallic rod of mass per unit length
0.5 kg m–1 is lying horizontally on a smooth
inclined plane which makes an angle of 30° with
the horizontal. The rod is not allowed to slide
down by flowing a current through it when a
magnetic field of induction 0.25 T is acting on it
in the vertical direction. The current flowing in
the rod to keep it stationary is
NEET
2018
MCQ
Current sensitivity of a moving coil
galvanometer is 5 div/mA and its voltage
sensitivity (angular deflection per unit voltage
applied) is 20 div/V. The resistance of the
galvanometer is
NEET
2017
MCQ
An arrangement of three parallel straight wires placed perpendicular to plane of paper carrying same current $'I'$ along the same direction as shown in fogure. Magnitude of force per unit length on the middle wire $'B'$ is given by
NEET
2016
MCQ
An electron is moving in a circular path under the influence of a transverse magnetic field of 3.57 $ \times $ 10-2 T. If the value of e/m is 1.76 $ \times $ 1011 C kg$-$1, the frequency of revoluation of the electron is
NEET
2016
MCQ
A long wire carrying a steady current is bent into a circular loop of one turn. The magnetic field at the centre of the loop is B. It is then bent into a circular coil of n turns. The magnetic field at the centre of this coil of n turns will be
NEET
2016
MCQ
A long straight wire of radius $a$ carries a steady current $I$. The current is uniformly distributed over its cross-section. The ratio of the magnetic fields B and B', at radial distance ${a \over 2}$ and 2$a$ respectively, from the axis of the wire is
NEET
2016
MCQ
A square loop ABCD carrying a current $i$, is placed near and coplanar with a long straight conductor XY carrying a current $I$, the net force on the loop will be
NEET
2015
MCQ
A proton and an alpha particle both enter a region of uniform magnetic field B, moving at right angles to the field B. If the radius of circular orbits for both the particles is equal and the kinetic energy acquired by proton is 1 MeV, the energy acquired by the alpha particle will be
NEET
2015
MCQ
An electron moving in a circular orbit of radius r makes n rotations per second. The magnetic field produced at the centre has magnitude
NEET
2015
MCQ
A conducting square frame of side 'a' and a long straight wire carrying current $I$ are located in the same plane as shown in the figure. The frame moves to the right with a constant velocity 'V'. The emf induced in the frame will be proportional to
NEET
2015
MCQ
A wire carrying current $I$ has the shape shown in adjoining figure.
Linear parts of the wire are very long and parallel to X-axis while semicircular protion of radius R is lying in Y-Z plane. Magtnetic field at pont $O$ is
NEET
2014
MCQ
Two identical long conducting wires $AOB$ and $COD$ are placed at right angle to each other, with one above other such that $O$ is their common point for the two. The wires carry $I$1 and $I$2 currents, respectively. Point $P$ is lying at distance f from $O$ along a direction perpendicular to the plane containing the wires. The magnetic field at the point $P$ will be
NEET
2014
MCQ
In an ammeter 0.2% of main current passes through the galvanometer. If resistance of galvanometer is G, the resistance of ammeter will be
NEET
2013
MCQ
A circular coil ABCD carrying a current 'i' is placed in a uniform magnetic field. If the magnetic force on the segment AB is $\overrightarrow F $, the force on the remaining segment BCDA is
NEET
2013
MCQ
A long straight wire carries a certain current and produces a magnetic field 2 $ \times $ 10$-$4 Wb m$-$2 at a perpendicular distance of 5 cm from the wire. An electron situated at 5 cm from the wire moves with a velocity 107 m/s towards the wire along perpendicular to it. The force experienced by the electron will be (charge on electron 1.6 $ \times $ 10$-$19 C)
NEET
2013
MCQ
When a proton is released from rest in a room, it starts with an initial acceleration $a$0 towards west. When it is projected towards north with a speed $v$0 it moves with an initial acceleration 3$a$0 towards west. The an initial accelearation 3a0 towards west. The an initial acceleration 3$a$0 toward west. The electric and magnetic fields in the room are
NEET
2012
MCQ
A proton carrying 1 MeV kinetic energy is moving in a circular path of radius R in uniform magnetic field. What should be the energy of an $\alpha $-particle to describe a circle of same radius in the same field?
NEET
2012
MCQ
A milli voltmeter of 25 milli volt range is to be converted into an ammeter of 25 ampare range. The value (in ohm) of neccessary shunt will be
NEET
2012
MCQ
Two similar coils of radius R are lying concentrically with their planes at right angles to each other. The currents flowing in them are $I$ and 2$I$, respectively. The resultant magnetic field induction at the centre will be
NEET
2012
MCQ
An alternating electric field, of frequency $v$, is applied across the does (radius = R) of a cyclotron that is being used to accelerate protons (mass = m). The operating magnetic field (B) used in the cyclotron and the kinetic energy (K) of the proton beam, produced by it, are given by
NEET
2011
MCQ
Charge q is uniformly spread on a thin ring of radius R. The ring rotates about its axis with a uniform frequency $f$ Hz. The magnitude of magnetic induction at the center of the ring is
NEET
2011
MCQ
A square loop, carrying a teady current $I$, is placed in a horizontal plane near a long straight conductor carrying a steady current $I$
1 at a distance d from the conductor as shown in figure. The loop will experience
NEET
2011
MCQ
A galvanometer of resistance, G, is shunted by a resistance S ohm. To keep the main current in the circuit unchanged, the resistance to be put in series with the galvanometer is
NEET
2011
MCQ
A uniform electric field and a uniform magnetic field are acting along the same direction in a certain region. If an electron is projected in the region such that its velocity is pointed along the direction of fields, then the electron
NEET
2011
MCQ
A current carrying closed loop in the form of a right angle isosceles triangle ABC is placed in uniform magnetic field acting along AB. If the magnetic force on the arm BC is $\overrightarrow {F,} $ the force on the arm AC is
NEET
2010
MCQ
A closely wound solenoid of 2000 turns and area of cross-section 1.5 $ \times $ 10$-$4 m2 carries a current of 2.0 A. It is suspended through its centre and perpendicular to its length, allowing it to turn in a horizontal plane in a uniform magnetic field 5 $ \times $ 10$-$2 tesla making an angle of 30o with the axis of the solenoid. The torque on the solenoid will be
NEET
2010
MCQ
A particle having a mass of 10$-$2 kg carries a charge of 5 $ \times $ 10$-$8 C. The particle is given an initial horizontal velocity of 105 m s$-$1 in the presence of electric field $\overrightarrow E $ and magnetic field $\overrightarrow B $. To keep the particle moving in a horizontal direction, it is necessary that
(1) $\overrightarrow B $ should be perpendicular to the direction of velocity and $\overrightarrow E $ should be along the direction of velocity
(2) Both $\overrightarrow B $ and $\overrightarrow E $ should be along the direction of velocity
(3) Both $\overrightarrow B $ and $\overrightarrow E $ are mutually perpendicular and perpendicular to the direction of velocity.
(4) $\overrightarrow B $ should be along the direction of velocity and $\overrightarrow E $ should be perpendicular to the direction of velocity
Which one of the following pairs of statements is possible ?
NEET
2010
MCQ
A current loop consists of two identical semicircular parts each of radius R, one lying in the x-y plane and the other in x-z plane. If the current in the loop is $i$. The resultant magnetic field due to the two semicircular parts at their common centre is
NEET
2010
MCQ
A galvanometer has a coil of resistance 100 ohm and gives a full scale deflection for 30 mA current. If it is to work as a voltmeter of 30 volt range, the resistance required to be added will be
NEET
2010
MCQ
A square current carrying loop is suspended in a uniform magnetic field acting in the plane of the loop. If the force on one arm of the loop is the net force on the remaining three arms of the loop is
NEET
2010
MCQ
Charge q is uniformly spread on a thin ring of radius R. The ring rotates about its axis with a uniform frequency $f$ Hz. The magnitude of magnetic induction at the center of the ring is
NEET
2010
MCQ
A galvanometer has a coil of resistance 100 ohm and gives a full scale deflection for 30 mA current. If it is to work as a voltmeter of 30 volt range, the resistance required to be added will be
NEET
2009
MCQ
The magnetic force acting on a charged particle of charge $-$2 $\mu $C in a magnetic frield of 2 T acting in y direction, when the particle velocity is $\left( {2\widehat i + 3\widehat j} \right) \times {10^6}\,m{s^{ - 1}}$
NEET
2009
MCQ
A galvanometer havings a coil resistance of 60 $\Omega $ shows full scale deflection when a current of 1.0 amp passes through it. It can be converted into an ammeter to read currents upto 5.0 amp by
NEET
2009
MCQ
Under the influence of a uniform magnetic field, a charged particle moves with constant speed v in a circle of radius R. The time period of rotation of the particle
NEET
2008
MCQ
A particle of mass m, charge Q and kinetic energy T enters a transverse uniform magnetic field of induction $\overrightarrow B $. After 3 seconds the kinetic energy of the particle will be
NEET
2008
MCQ
A closed loop PQRS carrying a current is placed in a uniform magnetic field. If the magnetic forces on segments PS, SR and RQ are F
1, F
2 and F
3 respectively and are in the plane of the paper and along the directions shown, the force on the segment QP is
NEET
2008
MCQ
A galvanometer of resistance 50 $\Omega $ is connected to a battery of 3 V along with a resistance of 2950 $\Omega $ in series. A full scale deflection of 30 divisions is obtained in the galvanometer. In order to reduce this deflection to 20 divisions, the resistance in series should be
NEET
2007
MCQ
Under the influence of a uniform magnetic field, a charged particle moves with constant speed v in a circle of radius R. The time period of rotation of the particle
NEET
2007
MCQ
The resistance of an ammeter is 13 $\Omega $ and its scale is graduated for a current upto 100 amps. After an additional shunt has been connected to this ammeter it becomes possible to measure currents upto 750 amperes by this meter. The value of shunt-resistance is
NEET
2006
MCQ
Two circular coils 1 and 2 are made from the same wire but the radius of the 1st coil is twice that of the 2nd coil. What is the ratio of potential difference in volts should be applied across them so that the magnetic field at their centres is the same?
NEET
2006
MCQ
When a charged particle moving with velocity $\overrightarrow v $ is subjected to a magnetic field of induction $\overrightarrow B $, the force on it is non-zero. This implies that
NEET
2005
MCQ
A very long straight wire carries a current $I$. At the instant when a charge +Q at point P has velocity $\overrightarrow v $, as shown, the force on the charge is
NEET
2005
MCQ
An electron moves in a circular orbit with a uniform speed v. It producess a magnetic field B at the centre of the circle. The radius of the circle is proportional to
NEET
2004
MCQ
To convert a galvanometer into a voltmeter one should connect a
NEET
2004
MCQ
A galvanometer of 50 ohm resistance has 25 divisions. A current of 4 $ \times $ 10$-$4 ampere gives a deflection of one division. To convert this galvanometer into a voltmeter having a range of 25 volts, it should be connected with a resistance of
NEET
2003
MCQ
A long solenoid carrying a current producess a magnetic field B along its axis. If the current is doubled and the number of turns per cm is halved, the new value of the magnetic field is
NEET
2003
MCQ
A charged particle moves through a magnetic field in a firection perpendicular to it. Then the
NEET
2002
MCQ
To convert a galvanometer into a voltmeter one should connect a
NEET
2002
MCQ
The magnetic field of given length of wire for single turn coil at its centre is B then its value for two turns coil for the same wire is
NEET
2002
MCQ
A charge q moves in a region where electric field and magnetic field both exist, then force on it is
NEET
2001
MCQ
If number of turns, area and current through a coil is given by n, A and $i$ respectively then its magnetic moment will be
NEET
2001
MCQ
An electron having mass m and kinetic energy E anter in uniform magnetic field B perpendiculaly, then its frequency will be
NEET
2000
MCQ
The magnetic field at centre, P will be