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Consider two cylindrical rods of identical dimensions, one of rubber and the other of steel. Both the rods are fixed rigidly at one end to the roof. A mass M is attached to each of the free ends at the centre of the rods.
Consider two cylindrical rods of identical dimensions, one of rubber and the other of steel. Both the rods are fixed rigidly at one end to the roof. A mass M is attached to each of the free ends at the centre of the rods.
CBSE | Class 11 | Mechanical Properties of Solids | NCERT Exemplar
Consider two cylindrical rods of identical dimensions, one of rubber and the other of steel. Both the rods are fixed rigidly at one end to the roof. A mass M is attached to each of the free ends at the centre of the rods.

a) both the rods will elongate but there shall be no perceptible change in shape

b) the steel rod will elongate and change shape but the rubber rod will only elongate

c) the steel rod will elongate without any perceptible change in shape, but the rubber rod will elongate and the shape of the bottom edge will change to an ellipse

d) the steel rod will elongate, without any perceptible change in shape, but the rubber rod will elongate with the shape of the bottom edge tapered to a tip at the center

Answer:

The correct answer is d)

Both rods will be extended if a man AT is attached to the middle of each rod, as indicated in the diagram below. However, due to the material’s distinct elastic qualities, the steel rod will extend without changing shape, whereas the rubber rod will elongate with the shape of the bottom edge tapering to a tip in the middle.

i

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