A plumbline (Sahul) is the combination of
(A) a cone and a cylinder (B) a hemisphere and a cone
(C) frustum of a cone and a cylinder (D) sphere and cylinder
Answer
The bob (the weight at the end of the string) typically combines different geometric shapes to ensure it hangs straight and minimizes air resistance. Let's analyze the options provided to see which one best matches the typical shape of a plumbline bob:
Option (A): A cone and a cylinder
This combination is plausible because many plumbline bobs have a pointed cone-like bottom to ensure accuracy and a cylindrical section for stability and weight distribution.
Option (B): A hemisphere and a cone
This combination is less common for a plumbline bob. A hemisphere would not provide the same stability or downward-pointing accuracy as a cone.
Option (C): Frustum of a cone and a cylinder
This combination is frequently used. A frustum of a cone (a cone with the top cut off) provides a stable weight, and a cylinder ensures that the bob has a streamlined shape and sufficient mass to hang steadily.
Option (D): A sphere and a cylinder
This combination is unlikely for a plumbline bob because a sphere does not offer a downward-pointing feature, making it less precise for determining vertical alignment.
The best answer is:
(C) A frustum of a cone and a cylinder
This combination provides both the stability and the necessary weight distribution for accurate vertical alignment.