A vibration magnetometer consists of two identical bar magnets placed one over the other such that they are perpendicular and bisect each other. The time period of oscillation in a horizontal magnetic field is 254 seconds. One of the magnets is removed and if the other magnet oscillates in the same field, then the time period in seconds is :

(a) 214                          (b) 212 

(c) 2                              (d) 234

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A cylindrical rod magnet has a length of 5 cm and a diameter of 1 cm. It has a uniform magnetisation of 5.30 × 103Amp/m3. What is its magnetic dipole moment ?

(a) 1×10-2 J/T                    (b) 2.08×10-2 J/T

(c) 3.08×10-2 J/T               (d) 1.52×10-2 J/T

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Magnetization and magnetic intensity
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Two magnets of equal mass are joined at right angles to each other as shown the magnet 1 has a magnetic moment 3 times that of magnet 2. This arrangement is pivoted so that it is free to rotate in the horizontal plane. In equilibrium what angle will the magnet 1 subtend with the magnetic meridian

(a) tan-112

(b) tan-113

(c) tan-11

(d) 0°

Concept Questions :-

Earth's magnetism
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Two magnets A and B are identical and these are arranged as shown in the figure. Their length is negligible in comparison to the separation between them. A magnetic needle is placed between the magnets at point P which gets deflected through an angle θ under the influence of magnets. The ratio of distance d1 and d2 will be

(a) (2 tan θ)1/3

(b) (2 tan θ)-1/3

(c) (2 cot θ)1/3

(d) (2 cot θ)-1/3

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Two short magnets of equal dipole moments M are fastened perpendicularly at their centres (figure). The magnitude of the magnetic field at a distance d from the centre on the bisector of the right angle is :

1. μ04π Md3 

2. μ04π M2d3

3. μ04π 22Md3

4. μ04π 2Md3

 

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Two identical bar magnets with a length 10 cm and weight 50 gm-weight are arranged freely with their like poles facing in a inverted vertical glass tube. The upper magnet hangs in the air above the lower one so that the distance between the nearest pole of the magnet is 3mm. Pole strength of the poles of each magnet will be

(a) 6.64 amp×m

(b) 2 amp×m

(c) 10.25 amp×m

(d) None of these

Concept Questions :-

Analogy between electrostatics and magnetostatics
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If ϕ1 and ϕ2 be the angles of dip observed in two vertical planes at right angles to each other and ϕ be the true angle of dip, then

1. cos2ϕ=cos2ϕ1+cos2ϕ2

2. sec2ϕ=sec2ϕ1+sec2ϕ2

3. tan2ϕ=tan2ϕ1+tan2ϕ2

4. cot2ϕ=cot2ϕ1+cot2ϕ2

Concept Questions :-

Earth's magnetism
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Each atom of an iron bar (5 cm × 1 cm × 1 cm) has a magnetic moment 1.8×10-23 Am2 . Knowing that the density of iron is 7.78×103 kgm-3 atomic weight is 56 and Avogadro's  number is 6.02×1023 the magnetic moment of the bar in the state of magnetic saturation will be

1. 4.75 Am2                  2. 5.74 Am2

3. 7.54 Am2                  4. 75.4 Am2

Concept Questions :-

Analogy between electrostatics and magnetostatics
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A dip needle vibrates in the vertical plane perpendicular to the magnetic meridian. The time period of vibration is found to be 2 seconds. The same needle is then allowed to vibrate in the horizontal plane and the time period is again found to be 2 seconds. Then the angle of dip is

1. 0o                             2. 30o

3. 45o                           4. 90o

Concept Questions :-

Earth's magnetism
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A dip needle lies initially in the magnetic meridian when it shows an angle of dip θ at a place. The dip circle is rotated through an angle x in the horizontal plane and then it shows an angle of dip θ' . Then tan θ'tan θ is

1. 1/cos x

2. 1/sin x

3. 1/tan x

4. cos x

 

Concept Questions :-

Earth's magnetism
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