The temperature of the wire is doubled. Young's modulus of elasticity:

1. will also double. 2. will become four times.
3. will remain the same. 4. will decrease.
Subtopic:  Elasticity |
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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 of the roof. A mass \(M\) is attached to each of the free ends at the centre of the rods.
1. Both the rods will elongate but there shall be no perceptible change in shape.
2. The steel rod will elongate and change shape but the rubber rod will only elongate.
3. 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.
4. 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 centre.
Subtopic:  Elasticity |
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A rod of length \(l\) and negligible mass is suspended at its two ends by two wires of steel (wire \(A\)) and aluminium (wire \(B\)) of equal lengths (figure). The cross-sectional areas of wires \(A\) and \(B\) are \(1.0~\text{mm}^2\) and \(2.0~\text{mm}^2\) respectively.
\((Y_{\text{Al}}=70\times10^9~\text{N/m}^2\) and \(Y_{\text{steel}}=200\times10^9~\text{N/m}^2)\)
          

(a) Mass \(m\) should be suspended close to wire \(A\) to have equal stresses in both wires.
(b) Mass \(m\) should be suspended close to \(B\) to have equal stresses in both wires.
(c) Mass \(m\) should be suspended in the middle of the wires to have equal stresses in both wires.
(d) Mass \(m\) should be suspended close to wire \(A\) to have equal strain in both wires.
 
The correct statements are:
1. (b), (c)
2. (a), (d)
3. (b), (d)
4. (c), (d)
Subtopic:  Elasticity | Stress - Strain |
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