Physics #restart (Mechanical Properties of Solids SET D -Hard)Contact Number: 8527521718Physics #restart (Mechanical Properties of Solids SET D -Hard)Contact Number: 8527521718Given below are two statements:
| Assertion (A): | Hooke's law is applicable up to the elastic limit. |
| Reason (R): | Up to the elastic limit, stress is directly proportional to strain. |
| 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. |
Overall changes in volume and radius of a uniform cylindrical steel wire are \(0.2\%\) and \(0.002\%\) respectively when subjected to some suitable force. Longitudinal tensile stress acting on the wire is: \(\left(2.0\times 10^{11}~\text{Nm}^{-2}\right)\)
1. \(3.2\times 10^{11}~\text{Nm}^{-2}\)
2. \(3.2\times 10^{7}~\text{Nm}^{-2}\)
3. \(3.6\times 10^{9}~\text{Nm}^{-2}\)
4. \(3.9\times 10^{8}~\text{Nm}^{-2}\)
Two wires \(X\) and \(Y\) of the same length are made of the same material. The figure represents the load \(F\) versus extension \(\Delta x\) graph for the two wires. Hence:
| 1. | Modulus of elasticity of \(Y\) is greater than that of \(X\). |
| 2. | Stiffness of \(Y\) is more than that of \(X\). |
| 3. | The cross-sectional area of \(Y\) is less than that of \(X\). |
| 4. | All of these |
When a spiral spring is stretched by suspending a load on it, the strain produced is called:
| 1. | Shearing |
| 2. | Longitudinal |
| 3. | Volume |
| 4. | shearing and longitudinal |
Four identical hollow cylindrical columns of mild steel support a big structure of a mass of \(50,000\) kg. The inner and outer radii of each column are \(30\) cm and \(60\) cm respectively. Assuming the load distribution to be uniform, the compressional strain of each column is:
(Given, Young's modulus of steel, \(Y = 2\times 10^{11}~\text{Pa}\))
| 1. | \(3.03\times 10^{-7}\) | 2. | \(2.8\times 10^{-6}\) |
| 3. | \(7.22\times 10^{-7}\) | 4. | \(4.34\times 10^{-7}\) |
