Tension in the middle of a hanging rope (uniform mass) is:

Practice MCQ for SSC, UPSC, RRB Exams

A. Minimum A.
B. Maximum B.
C. Zero C.
D. Equal throughout D.

Correct Answer: B সঠিক উত্তর: B

Explanation ব্যাখ্যা

The tension in the middle of a hanging rope with uniform mass is A) minimum.
Concept of Tension: Tension in a rope is the force exerted by the rope on the objects attached to it, pulling them in a specific direction.
Distribution of Tension in a Hanging Rope: When a rope is hanging vertically with uniform mass, the tension at each point along the rope is due to the weight of the portion of the rope below that point.
Minimum Tension at the Midpoint: Since the lower half of the rope exerts a downward force on the upper half, and the upper half exerts an equal upward force on the lower half, the tension at the very middle of the rope is the minimum, as it only has to support the weight of the lower half.

Why other options are incorrect:
B) Maximum: The maximum tension is at the top of the rope where it is attached to the ceiling, as it has to support the weight of the entire rope.
C) Zero: The tension is never zero in a hanging rope unless the rope is completely slack (not under any load), which is not the case in this scenario.
D) Equal throughout: If the rope were massless, the tension would be equal throughout. However, a rope with uniform mass has different tensions at different points due to the varying weight it supports.

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