Given below are two statements: 
Assertion (A): Elastomers are used as vibration dampers.
Reason (R): Elastomers show elastic hysteresis.
 
1. Both (A) and (R) are true and (R) is the correct explanation of (A).
2. Both (A) and (R) are true but (R) is not the correct explanation of (A).
3. (A) is true but (R) is false.
4. Both (A) and (R) are false.

 
Subtopic:  Elasticity |
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Given below are two statements: 
Assertion (A): The bridges are declared unsafe after long use.
Reason (R): The bridges lose their elastic strength with time.
 
1. Both (A) and (R) are True and (R) is the correct explanation of (A).
2. Both (A) and (R) are True but (R) is not the correct explanation of (A).
3. (A) is True but (R) is False.
4. Both (A) and (R) are False.
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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