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1.
A galvanometer of resistance 50Ω gives a full scale deflection for a current 5×10−4A. The resistance that should be connected in series with the galvanometer to read 3V is
(1)5050Ω
(2)5950Ω
(3)595Ω
(4)5059Ω
2.
A long solenoid has 200 turns per cm and carriers a current i. The magnetic field at its centre is 6.28×10−2Wb/m2. Another long solenoid has 100 turns per cm and it carries a current i/3. The value of magnetic field at its center is nearly
(1)1.05×10−3Wb/m2
(2)1.05×10−5Wb/m2
(3)1.05×10−4Wb/m2
(4)1.05×10−2Wb/m2
3.
A long cylindrical wire of radius R carries a uniform current I flowing through it. The variation of magnetic field with distance r from the axis of the wire is shown by
(1)
(2)
(3)
(4)
4.
The electric current in a circular coil of 2 turns produces a magnetic induction B1 at its center. The coil is unwound and is rewound into a circular coil of 5 turns and the same current produces a magnetic induction B2 at its center. The ratio of B1B2 is:
(1)25
(2)425
(3)45
(4)225
5.
A proton, an electron, and a Helium nucleus, have the same energy. They are in circular orbits in a plane due to magnetic field perpendicular to the plane. Let rp,re and rHe be their respective radii, then,
(1)re>rp=rHe
(2)re<rp=rHe
(3)re<rp<rHe
(4)re>rp>rHe
6.
A closely wound solenoid of 80cm long has 5 layers of windings of 400 turns each. The diameter of the solenoid is 1.8cm. If the current carried is 8A, then the magnitude of the magnetic field inside the solenoid near its centre is approximately
(1)1.5×10−2T
(2)2.5×10−2T
(3)3.5×10−2T
(4)4.5×10−2T
7.
A tightly wound 100 turns coil of radius 10 cm carries a current of 7 A. The magnitude of the magnetic field at the center of the coil is (Take, permeability of free space as 4π×10−7 SI units) [NEET 2024]
(1)44 MT
(2)4.4 T
(3)4.4 mT
(4)44 T
8.
A current carrying solenoid is placed vertically and a particle of mass m with charge Q is released from rest. The particle moves along the axis of solenoid. If g is acceleration due to gravity then the acceleration
(1)of the charged particle will satisfy:(a) a>g
(2)0<a<g
(3)a=0
(4)a=g
9.
A voltmeter of 250mV range having a resistance of 10Ω is converted into an ammeter of 250mA range. The value of necessary shunt is (nearly)
(1)2Ω
(2)0.1Ω
(3)1Ω
(4)10Ω
10.
A beam of electrons is moving with constant velocity in a region having electric and magnetic fields of strength 20Vm−1 and 0.5T at right angles to the direction of motion of the electrons. What is the velocity of the electrons?
(1)8 ms−1
(2)5.5 ms−1
(3)20 ms−1
(4)40 ms−1
11.
10A current is flowing in two straight parallel wires in the same direction. Force of attraction between them is 1×10−3N. If the current is doubled in both the wires the force will be
(1)1×10−3N
(2)2×10−3N
(3)4×10−3N
(4)0.25×10−3N
12.
A long current carrying wire produces a magnetic field of 1T at a distance of r. The magnetic field (i) 2r (ii) 2r and (ii) 3r is
(1)(i) 2T, (ii) =21T,(iii)=31T
(2)(i) 3T,(ii)=31T,(iii)=61T
(3)(i) 32T,(ii)=14T,(iii)=18T
(4)(i) 25T, (ii) =21T,(iii)=31T
13.
A circular coil carrying a certain current produces a magnetic field B0 at its centre. The coil is now rewound so as to have 3 turns and the same current is passed through it. The new magnetic field at the centre is
(1)B0/9
(2)9B0
(3)B0/3
(4)3B0
14.
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
(1)will turn towards right of direction of motion
(2)speed will decrease
(3)speed will increase
(4)will turn towards left of direction of motion.
15.
A long straight wire of circular cross-section (radius a) is carrying steady current I. The current I is uniformly distributed across this cross-section. The magnetic field is
(1)inversely proportional to r in the region r < a and uniform throughout in the region r > a
(2)directly proportional to r in the region r < a and inversely proportional to r in the region r > a
(3)Zero in the region r < a and inversely proportional to r in the region r > a
(4)uniform in the region r < a and inversely proportional to distance r from the axis, in the region r > a
16.
A beam of protons with speed 4×105ms−1 enters a uniform magnetic field of 0.3T at an angle of 60∘ to the magnetic field. The pitch of the resulting helical path of protons is close to (Mass of the proton =1.67×10−27kg charge of the proton =1.69×10−19C)
(1)2cm
(2)12cm
(3)5cm
(4)4cm
17.
A magnetic field of 5×10−5T is produced at a perpendicular distance of 0.2m from a long straight wire carrying electric current. If the permeability of free space is 4π×10−7Tm/A. The current passing through the wire in A is:
(1)45
(2)40
(3)50
(4)30
18.
Astraightwireofdiameter0.5mmcarrying a current of 1 A is replaced by the another wire of 1 mm diameter carrying the same current. The strength of the magnetic field far away is
(1)one‐quarter of the earlier value
(2)one‐half of the earlier value
(3)twice the earlier value
(4)same as the earlier value.
19.
A circular loop of radius r is carrying current I A. The ratio of magnetic field at the center of circular loop and at a distance r from the center of the loop on its axis is:
(1)1 : 32
(2)32 : 2
(3)22 : 1
(4)1 : 2
20.
Ionized hydrogen atoms and α ‐particles with same momenta enters perpendicular to a constant magnetic field, B. The ratio of their radii of their paths rH:rα will be
(1)1 : 4
(2)2: 1
(3)1 : 2
(4)4: 1
21.
A charged particle carrying charge 1μC is moving with velocity (2i+3j+4k)ms−1. If an external magnetic field of (5i+3j−6k)×10−3T exists in the region where the particle is moving, then the force on the particle is F×10−9N. The vector F is
(1)−0.30i+0.32j−0.09k
(2)−30i+32j−9k
(3)−300i+320j−90k
(4)−3.0i+3.2j−0.9k
22.
The electric current in a circular coil of 2 turns produces a magnetic induction B1 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 B2 at its centre. The ratio of B1B2
(1)25
(2)425
(3)45
(4)225
23.
For parallel conductors and steady currents, the results in accordance with Newton's third law are
(1)Biot-Savart law and the Lorentz force
(2)Biot-Savart law and Ampere's law
(3)Ampere's law and the Lorentz force
(4)Lenz's law and Lorentz force
24.
The magnetic field at the center of a current carrying loop of radius 0.1m is 55 times that at a point along its axis. The distance of this point from the center of the loop is
(1)0.2m
(2)0.05m
(3)0.1m
(4)0.25m
25.
The magnetic field at a distance r from a long wire carrying current i is 0.4 tesla. The magnetic field at a distance 2r is
(1)0.2 tesla
(2)0.8 tesla
(3)0.1 tesla
(4)1.6 tesla.
26.
An electron is moving in a circular path under the influence of a transverse magnetic field of 3.57×10−2T. If the value of e/m is 1.76×1011C/kg, the frequency of revolution of the electron is [NEET 2016]
(1)1 GHz
(2)100 MHz
(3)62.8 MHz
(4)6.28 MHz
27.
For a moving coil galvanometer, the deflection in the coil is 0.05 rad when a current of 10 mA is passed through it. If the torsional constant of suspension wire is 4.0 x 10−5 Nm rad−1, the magnetic field is 0.01 T and the number of turns in the coil is 200, the area of each turn (in cm2) is:
(1)2.0
(2)1.0
(3)1.5
(4)0.5
28.
If M0 and L0 denote the magnetic moment and angular momentum of the electron due to its orbital motion respectively, then the gyromagnetic ratio is given by
(1)M0L0
(2)L0M0
(3)L0M0
(4)L0M0
29.
A long solenoid carrying a current produces 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 magnetic field will be equal to
(1)B
(2)2 B
(3)4 B
(4)2B
30.
Two long straight wires P and Q carrying equal current 10A each were kept parallel to each other at 5 cm distance. Magnitude of magnetic force experienced by 10 cm length of wire P is F1. If distance between wires is halved and currents on them are doubled, force F2 on 10 cm length of wire P will be: