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Model Paper 8 — NEET STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceNEETModel Paper 84 Marks
MCQ
A heavy uniform rod is suspended vertically from some rigid support. If it is stretched due to its own weight, then diameter of the rod is:
  • A
    the smallest at the top and gradually increases down the rod
  • B
    uniform everywhere
  • C
    the largest at the top and gradually decreases down the rod
  • D
    maximum in the middle
✓

Answer

A. the smallest at the top and gradually increases down the rod
Explanation:
For a hanging heavy uniform rod, at any cross-section, the load is only of the part of the rod which is below it. At its lowest point, the load is zero which gradually increases as we go up. Since the cross-section is the same, the stress increases as we go up. The maximum stress will be at the top and so will be the effect of elongation. Since the transverse strain is proportional to longitudinal strain, hence the diameter of the rod will be smallest at the top and gradually increase down the rod.

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