Path of light to travel in Reflection of Light By Different Surfaces – Class 10 Science Experiment

Chapter Name: Reflection of Light By Different Surfaces

Activity Name: Path of light to travel in Reflection of Light By Different Surfaces

Activity Description:

Path of light to travel in Reflection of Light By Different Surfaces - Class 10 Science Experiment
Path of light to travel in Reflection of Light By Different Surfaces - Class 10 Science Experiment
Path of light to travel in Reflection of Light By Different Surfaces - Class 10 Science Experiment
Path of light to travel in Reflection of Light By Different Surfaces - Class 10 Science Experiment

In this experiment, we will analyze the path taken by a smart crow to pick up a grain from point A on the ground and reach point B on another tree in the least possible time. By using mathematical knowledge about angles and triangles, we will determine the shortest path the crow selects.

Required Items:

  1. Figure-2: Illustration of a smart crow on a tree at point A with grains on the ground and point B on another tree.
  2. Figure-3: Illustration of different paths (ACB, ADB, AEB, and AFB) the crow can take from point A to point B.
  3. Figure-4: Illustration of duplicate paths (ACG, ADG, AEG, and AFG) used to compare lengths of paths.

Step by Step Procedure:

  1. Observe the paths (ACB, ADB, AEB, and AFB) in Figure-3.
  2. Create duplicates of these paths (ACG, ADG, AEG, and AFG) in Figure-4.
  3. Compare the lengths of the duplicate paths with their corresponding original paths (e.g., ACG vs. ACB, ADG vs. ADB, etc.).

Experiment Observations:

  • The length of path ACB is equal to the length of path ACG.
  • Similarly, the length of path ADB is equal to the length of path ADG.
  • The length of path AEB is equal to the length of path AEG.
  • The length of path AFB is equal to the length of path AFG.
  • From the observations, it is found that among the paths ACG, ADG, AEG, and AFG, the shortest path is AEG, which represents the straight-line distance between points A and G.

Precautions:

  1. Ensure the accuracy of measurements during the comparison of path lengths.
  2. Use a scale or measuring tool to validate the length of each path.

Lesson Learnt from Experiment:

The experiment demonstrates the principle that both smart crows and light choose the path that takes the least time to travel. This principle was first given by Pierre de Fermat, a French lawyer and an amateur mathematician.

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