Q46 / 49 · NTA Abhyas (JEE Main) 2020 · Physics · Magnetic Properties of Matter

A magnetic needle of negligible breadth and thickness compared to its length, oscillates in a horizontal plane with a period T. The period of oscillation of each part obtained on breaking the magnet into n equal parts and perpendicular to the length is

  • A
    T
  • Correct answer
    B
    T n
  • C
    nT
  • D
    1n

Solution

T=2πIMB

on breaking n equal parts perpendicular to length

I′=112 mn ln2 of each part

I′=In3, M′=Mn

T′T=I′M′×MI=1n3 ×n=1n⇒ T′=Tn

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

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