Magnetism Question 45
Question: A dip needle vibrates in the vertical plane perpendicular to the magnetic meridian. The time period of vibration is found to be 2 seconds. The same needle is then allowed to vibrate in the horizontal plane and the time period is again found to be 2 seconds. Then the angle of dip is
Options:
A) 0o
B) 30o
C) 45o
D) 90o
Show Answer
Answer:
Correct Answer: C
Solution:
In vertical plane perpendicular to magnetic meridian. $ T=2\pi \sqrt{\frac{I}{MB _{V}}} $ ….. (i) In horizontal plane $ T=2\pi \sqrt{\frac{I}{MB _{H}}} $ ….. (ii) Equation (i) and (ii) gives $ B _{V}=B _{H} $ Hence by using $ \tan \varphi =\frac{B _{V}}{B _{H}}\Rightarrow \tan \varphi =1\Rightarrow \varphi =45^{o} $
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