MEDIUM
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Alnico and can be used to make permanent magnets.
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Important Questions on Magnetism and Matter

HARD
A hoop and a solid cylinder of same mass and radius are made of a permanent magnetic material with their respective axes. But the magnetic moment of hoop is twice of solid cylinder. They are placed in a uniform magnetic field in such a manner that their magnetic moments make a small angle with the field. If the oscillation periods of hoop and cylinder are Th and Tc respectively, then:
MEDIUM
An insulating thin rod of length l has a linear charge density ρx=ρ0xl on it. The rod is rotated about an axis passing through the origin x=0 and perpendicular to the rod. If the rod makes n rotations per second, then the time averaged magnetic moment of the rod is:
MEDIUM

A bar magnet of magnetic moment M is placed at a distance D with its axis along positive X-axis. Likewise, second bar magnet of magnetic moment M is placed at a distance 2D on positive Y-axis and perpendicular to it as shown in the figure. The magnitude of magnetic field at the origin is B=αμ04πMD3. The value of α must be (Assume D>> where l is the length of magnets)

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MEDIUM
The ratio of magnetic fields due to a bar magnet at the two axial points P1 and P2 which are separated from each other by 10 cm is 25:2. P1 Point is situated at 10 cm from the centre of the magnet. (Points P1 and P2 are on the same side of magnet and distance of P1 and P2 from the centre of magnet is much greater than the distance of two ends of the magnet from the centre). Magnetic length of the bar magnet is
EASY
The magnetization of bar magnet of length 5 cm, cross-sectional area 2 cm2 and net magnetic moment 1 A m2 is
EASY
A magnet of pole strength m and length l is broken into two pieces. The pole strength of each piece is
HARD
Two short bar magnets A and B (having magnetic moments M1 and M2 respectively) are kept one above the other with their magnetic axis perpendicular to each other. If their resultant at a point on the axis of magnet A is inclined at 45° with the axis of magnet A then the ratio of magnetic moments M2M1 is tan45°=1
MEDIUM

A short bar magnet is placed in the magnetic meridian of the earth with North Pole pointing north. Neutral points are found at a distance of 30 cm from the magnet on the East-West line, drawn through the middle point of the magnet. The magnetic moment of the magnet in Am2 is close to:

(Given μ04π=10-7 in SI units and BH= Horizontal component of earth's magnetic field =3.6×10-5 Tesla.)

EASY
The magnetic dipole moment of a short magnetic dipole at a distant point along the equator of magnet has a magnitude of X in SI units. If the distance between point and the magnet is halved then the magnitude of dipole moment will be
EASY
A small bar magnet is placed with its axis at 30o with an external magnetic field of 0.06 T experiences a torque of 0.018 Nm. The minimum work required to rotate it from its stable to unstable equilibrium position is:
MEDIUM
The magnetic field of earth at the equator is approximately 4 × 1 0 - 5 T . The radius of earth is 6.4 × 1 0 6 m . Then the dipole moment of the earth will be nearly of the order of :
EASY
Electromagnets are made of soft iron because, soft iron has
MEDIUM
Two short bar magnets of moments 512 A m2 and 1000 A m2 are placed coaxially 18 cm apart. The magnetic field is zero at a point Q between them. The field at Q, when one of the magnets is reversed pole to pole is
HARD
At some location  the horizontal component of earth's magnetic field is 18×10-6 T. At this location, magnetic needle of length 0.12 m and pole strength 1.8 Am is suspended from its mid-point using a thread, it makes 45° angles with horizontal in equilibrium. To keep this needle horizontal, the vertical force that should be applied at one of its ends is:
MEDIUM
A magnetic needle of magnetic moment 6.7×10-2 A m2 and moment of inertia 7.5×10-6 kg m2 is performing simple harmonic oscillations in a magnetic field of 0.01 T. Time taken for 10 complete oscillations is:
MEDIUM
A magnetic dipole is placed in a uniform magnetic field of intensity B, oriented along the direction of the field. If the magnetic dipole moment is M, then the maximum work an external agent can perform in rotating the dipole will be
MEDIUM
A thin rod of length L is magnetized and has magnetic moment M. The rod is then bent in a semicircular arc. The magnetic moment in the new shape is
EASY
A circular coil having N turns and radius r carries a current I. It is held in the XZ plane in a magnetic field Bi^ . The torque on the coil due to the magnetic field is:
HARD
The magnetic flux near the axis and inside the air-core solenoid of length 60 cm carrying current I is 1.57×106 Wb. Its magnetic moment will be (cross-sectional area of a solenoid is very small as compared to its length, μ0=4π×10-7 SI units)