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A neurone with a myelin sheath has a diameter of 1.0 µm. Determine the speed of an impulse in this neurone making use of the graph in Fig. 4.2. The neurone is 90 cm long. Calculate the time taken for an impulse to travel along this neurone.

Biology

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b) (i) A neurone with a myelin sheath has a diameter of 1.0 μ\mum. Determine the speed of an impulse in this neurone making use of the graph in Fig. 4.2.

  1. Locate the diameter on the x-axis.

    Find 1.0 μm1.0 \text{ } \mu\text{m} on the horizontal axis (Diameter of neurone).

  2. Read the corresponding impulse speed from the graph.

    Move vertically up from 1.0 μm1.0 \text{ } \mu\text{m} until you intersect the line labeled "myelin sheath". Then, move horizontally to the left to read the value on the vertical axis (Impulse speed in m per s).

    From the graph, at a diameter of 1.0 μm1.0 \text{ } \mu\text{m} for a myelinated neurone, the impulse speed is 4.0 m/s4.0 \text{ m/s}.

    The speed of an impulse is 4.0 m/s\boxed{\text{4.0 m/s}}.

    b) (ii) The neurone is 90 cm long. Calculate the time taken for an impulse to travel along this neurone.

  3. Convert the length of the neurone to meters.

    The length is given as 90 cm90 \text{ cm}.

    90 cm=0.9 m90 \text{ cm} = 0.9 \text{ m}
  4. Use the formula for time, distance, and speed.

    The formula relating time, distance, and speed is:

    Time=DistanceSpeed\text{Time} = \frac{\text{Distance}}{\text{Speed}}
  5. Substitute the values and calculate the time.

    Using the speed from part (i), which is 4.0 m/s4.0 \text{ m/s}:

    Time=0.9 m4.0 m/s\text{Time} = \frac{0.9 \text{ m}}{4.0 \text{ m/s}} Time=0.225 s\text{Time} = 0.225 \text{ s}

    The time taken for an impulse to travel along this neurone is 0.225 s\boxed{\text{0.225 s}}.

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