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Electromagnetic Induction

Question
CBSEENPH12039733

A metal conductor of length 1 m rotates vertically about one of its ends at angular velocity 5 radians per second. If the horizontal component of earth’s magnetic field is 0.3 × 10−4 T, then the e.m.f. developed between the two ends of the conductor is

  • depends on the nature of the metal used

  • depends on the intensity of the radiation

  • depends both on the intensity of the radiation and the metal used

  • is the same for all metals and independent of the intensity of the radiation.

Solution

B.

depends on the intensity of the radiation

The emf induced between ends of conductor
straight e space equals space 1 half BωL squared
space equals space 1 half space straight x space 0.2 space straight x space 10 to the power of negative 4 end exponent space straight x space 5 space straight x space left parenthesis 1 right parenthesis squared
space equals space 0.5 space straight x space 10 to the power of negative 4 end exponent space straight V
space equals space 5 space straight x space 10 to the power of negative 5 end exponent space straight V space equals space 50 space μV

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