Q148 / 150 · MHT CET 2018 · Physics

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

  • A
    5 cm
     
  • Correct answer
    B
    10 cm
     
  • C
    15 cm
     
  • D
    20 cm
     

Solution

B 1 B 2 = 25 2
μ 0 4π M d 1 ( d 1 2 − l 2 ) 2 μ 0 4π M d 2 ( d 2 2 − l 2 ) 2 = 25 2
d 1 d 2 × ( d 2 2 − l 2 ) 2 ( d 1 2 − l 2 ) 2 = 25 2
d 1 =10 cm, d 2 =20 cm
10 20 × ( 20 2 − l 2 10 2 − l 2 ) 2 = 25 2
400− l 2 =5( 100− l 2 )
4 l 2 =100⇒ l 2 =25
l=5 cm
 

Hence, the correct answer is option: 'B'.

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