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A wave attenuates by 1 neper per metre. After 3 m its amplitude is reduced to

  • A.about 37 per cent of its initial value
  • B.about 63 per cent of its initial value
  • C.about 5 per cent of its initial value
  • D.about 33 per cent of its initial value

Answer: C

Correct answer: about 5 per cent of its initial value

The amplitude falls as \( e^{-\alpha z} \), so after 3 m at 1 neper per metre it is \[ e^{-3} = 0.0498, \] about 5 per cent. The 37 per cent offered is \( e^{-1} \), the reduction after a single metre - the trap is treating the neper as a fixed fraction rather than as an exponent that accumulates with distance.

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