Q22 / 49 · NTA Abhyas (JEE Main) 2020 · Physics · Magnetic Properties of Matter

Two bar magnets A and B are placed one over the other and are allowed to Vibrate in a vibration magnetometer. They make 20 oscillations per minute when the similar poles of A and B are on the same side, while they make 15 oscillations per minute when their opposite poles lie on the same side. If MA and MB are the magnetic moments of A and B and if MA>MB, the ratio of MA and MB is

  • A
    4 : 3
  • Correct answer
    B
    25 : 7
  • C
    7 : 5
  • D
    25 : 16

Solution

Ratio of magnetic moments of two magnets of equal size when in same and different position is
 
M A M B = T d 2 + T s 2 T d 2 - T s 2 = v⁡ d 2 + v⁡ s 2 v⁡ d 2 - v⁡ s 2
 
   M A M B = 2 0 2 + 1 5 2 2 0 2 - 1 5 2
 
            =400+225400-225
 
MA:MB=25:7

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

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