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

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

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

Answer

Opposite poles of both magnets are on same sides

Explanation

Solution

In sum position

TS=2πIs(M1+M2)BHT _ { S } = 2 \pi \sqrt { \frac { I _ { s } } { \left( M _ { 1 } + M _ { 2 } \right) B _ { H } } }

In difference position

Td=2πId(M1M2)BHT _ { d } = 2 \pi \sqrt { \frac { I _ { d } } { \left( M _ { 1 } - M _ { 2 } \right) B _ { H } } }

It is clear that Td>TsT _ { d } > T _ { s }