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A compass needle whose magnetic moment i...

A compass needle whose magnetic moment is `60Am^2` points geographic north at a certain place where `H=40muT`. The compass needle experience a torque of `1*2xx10^-3N-m`. What is the declination at the place?

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The correct Answer is:
`30^@`
When compass needle points along magnetic N-S, no torque acts on it. However, when it points towards geographic N-S, torque on it is
`tau=MHsintheta`
`sin theta=(tau)/(MH)=(1*2xx10^-3)/(60xx40xx10^-6)=1/2`
`theta=30^@`
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PRADEEP-MAGNETIC EFFECT OF CURRENT AND MAGNETISM-Exercise
  1. If the horizontal component of earth's magnetic field at a place is 0*...

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  2. A dip circle shows an apparent dip of 60^@ at a place where true dip i...

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  3. A compass needle whose magnetic moment is 60Am^2 points geographic nor...

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  4. A magnetic needle free to rotate in a vertical plane parallel to magne...

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  5. A ship is sailing due west according to Mariner's compass. If the decl...

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  6. The declination at a place is 20^@ west. In what direction should a sh...

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  7. The true dip at a place is 30^@. In what plane is the dip apparently 6...

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  8. The true value of dip at a place is 45^@. If the vertical plane carryi...

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  9. If theta1 and theta2 be the apparent angles of dip observed in two ver...

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  10. A magnetic needle is free to rotate in a vertical plane which makes an...

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  11. At 45^@ to magnetic meridian, the apparent dip is 30^@. What is the tr...

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  12. A ship sails due east according to compass. If declination at that pla...

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  13. A bar magnet of length 10cm is placed in the magnetic meridian with it...

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  14. A very short bar magnet has magnetic moment 1*4175JT^-1. It is placed ...

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  15. A bar magnet 30cm long is placed in magnetic meridian with its north p...

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  16. A short bar magnet of magnetic moment 0*5JT^-1 is placed with its magn...

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  17. A neutral point is found on the axis of a bar magnet at a distance of ...

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  18. The magnetic needle of a tangent galvanometer is deflected at an angle...

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  19. Two tangent galvanometers, A and B have their number of turns in the r...

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  20. Two tangent galvanometers differ only in the matter of number of turns...

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