Assertion (A): | The stretching of a spring is determined by the shear modulus of the material of the spring. |
Reason (R): | A coil spring of copper has more tensile strength than a steel spring of the same dimensions. |
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 False but (R) is True. |
4. | (A) is True but (R) is False. |
1. | \(1.5\times 10^{-6}~\text{J}\) | 2. | \(4.5\times 10^{-6}~\text{J}\) |
3. | \(3.25\times 10^{-6}~\text{J}\) | 4. | \(2.25\times 10^{-6}~\text{J}\) |
1. | A linearly decreasing function of distance upto the boundary of the wire and then a linearly increasing one for the outside region. |
2. | Uniform and remains constant for both regions. |
3. | A linearly increasing function of distance upto the boundary of the wire and then a linearly decreasing one for the outside region. |
4. | A linearly increasing function of distance \(r\) upto the boundary of the wire and then decreasing one with \(1/r\) dependence for the outside region. |
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1. | \(\text{tan}^{-1}(0.750)\) | 2. | \(\text{sin}^{-1}(0.500)\) |
3. | \(\text{sin}^{-1}(0.750)\) | 4. | \(\text{tan}^{-1}(0.500)\) |
1. | \(2~\text{A}\) | 2. | \(0.25~\text{A}\) |
3. | \(1.5~\text{A}\) | 4. | \(1~\text{A}\) |
1. | do not play any significant role. |
2. | should be approximately equal to \(2X\). |
3. | should be approximately equal and are small. |
4. | should be very large and unequal. |
1. | \(\dfrac{1}{{R}^{6}}\) | 2. | \(\dfrac{1}{{R}^{2}}\) |
3. | \(\dfrac{1}{{R}^{3}}\) | 4. | \(\dfrac{1}{{R}^{4}}\) |