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 B_1 and B_2…
JEE Main 2019 — Physics Electromagnetism
2019mcqmedium
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
Official previous-year question
Held on 12 Apr 2019 · Verified 6 Jul 2026.
Options
A
3.6
B
1.8
C
1.2
D
0.7
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Solution
Let f1 and f2 be the respective oscillation frequencies respectively for 45∘ and 30∘ dip. Then,
f1=2π1IMB1cos45∘
f2=2π1IMB2cos30∘
f2f1=B2cos30∘B1cos45∘
⇒402302=B2cos30∘B1cos45∘
⇒B2B1=1600×cos45∘900×cos30∘
⇒B2B1=0.688≈0.7
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