Magnetism Question 78

Question: In sum and difference method in vibration magnetometer, the time period is more if

[MP PMT 1989; MP PET/PMT 1988]

Options:

A) Similar poles of both magnets are on same sides

B) Opposite poles of both magnets are on same sides

C) Both magnets are perpendicular to each other

D) Nothing can be said

Show Answer

Answer:

Correct Answer: B

Solution:

In sum position : $ T _{S}=2\pi \sqrt{\frac{I _{s}}{(M _{1}+M _{2})B _{H}}} $ In difference position : $ T _{d}=2\pi \sqrt{\frac{I _{d}}{(M _{1}-M _{2})B _{H}}} $ It is clear that $ T _{d}>T _{s} $