Q16 / 49 · NTA Abhyas (JEE Main) 2020 · Physics · Magnetic Properties of Matter

A magnetic compass needle oscillates 30 times per minute at a place where the dip is 45° and 40 times per minute where the dip is 30°. If B1 and B2 are the net magnetic fields due to the earth at the two places respectively, then the ratio B1/B2 is approximately equal to

  • A
    3.6
  • B
    1.8
  • C
    1.2
  • Correct answer
    D
    0.7

Solution

Let f1 and f2 be the respective oscillation frequencies respectively for 45° and 30° dip. Then,

f1=12πMB1cos45°I

f2=12πMB2cos30°I

f1f2=B1cos45°B2cos30°

⇒302402=B1cos45°B2cos30° 

⇒B1B2=900×cos30°1600×cos45°

⇒B1B2=0.688≈0.7

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

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