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Magnetism And Matter

Question
CBSEENPH12037816

(a) Draw diagrams to depict the behaviour of magnetic field lines near a ‘bar’ of:
(i)    copper
(ii)    aluminium
(iii)   mercury, cooled to a very low temperature (4.2 K)
(b) The vertical component of the earth's magnetic field at a given place is 3 times its horizontal component. If total intensity of earth's magnetic field at the place is 0.4 G find the value of:
(i)    angle of dip
(ii)   the horizontal component of earth's magnetic field.

 

Solution
(a)
(i) Copper is a diamagnetic material. When a specimen of a diamagnetic material is placed in a magnetising field, the field lines are repelled and the field inside the material is reduced.
 

(ii) Aluminium is a paramagnetic material. When a specimen of a paramagnetic material is placed in a magnetising field, the magnetic field lines prefer to pass through the specimen rather than through air. 

 

(iii) Mercury at a very low temperature (4.2 K) is diamagnetic material. The magnetic field lines are shown as
 

(b)
Here,
Vertical component is 3 times the horizontal field. 
And, B is the total intensity of earth's magnetic fiekd.
i.e.,  BV = 3 BH   and  B = 0.4 G 

(i)  tan δ = BVBH 

     tan δ = 3BHBH = 3 

     tan δ = tan 60°     δ = 60° 

  Angle of dip  = 60°  

(ii) Horizontal component of earth's magnetic field
BH = B cos δ
  H = 0.4 cos 60° 
    = 0.4 ×12= 0.2 G