A uniform wire of length \(3\) m and mass \(10\) kg is suspended vertically from one end and loaded at another end by a block of mass \(10\) kg. The radius of the cross-section of the wire is \(0.1\) m. The stress in the middle of the wire is: (Take \(g=10\) ms-2)
1. | \(1.4 \times10^4\) N/m2 | 2. | \(4.8 \times10^3\) N/m2 |
3. | \(96 \times10^4\) N/m2 | 4. | \(3.5\times10^3\) N/m2 |
The elongation (x) of a steel wire varies with the elongating force (F) according to the graph: (within elastic limit)
1. | 2. | ||
3. | 4. |
The stress-strain curve for two materials A and B are as shown in the figure. Select the correct statement:
1. | Material A is less brittle and less elastic as compared to B |
2. | Material A is more ductile and less elastic as compared to B |
3. | Material A is less brittle and more elastic than B |
4. | Material B is more brittle and more elastic than A |
The Young's modulus of a wire is numerically equal to the stress at a point when:
1. | the strain produced in the wire is equal to unity. |
2. | the length of the wire gets doubled. |
3. | the length increases by 100%. |
4. | All of these |
A metallic rope of diameter \(1~ \text{mm}\) breaks at \(10 ~\text{N}\) force. If the wire of the same material has a diameter of \(2~\text{mm}\), then the breaking force is:
1. | \(2.5~\text{N}\) | 2. | \(5~\text{N}\) |
3. | \(20~\text{N}\) | 4. | \(40~\text{N}\) |
The breaking stress of a wire going over a smooth pulley in the following question is 2 × N/. What would be the minimum radius of the wire used if it is not to break?
1. | \(0.46\times10^{-6}m\) | 2. | \(0.46\times10^{-4}m\) |
3. | \(0.46\times10^{8}m\) | 4. | \(0.46\times10^{-11}m\) |
The increase in the length of a wire on stretching is \(0.04\)%. If Poisson's ratio for the material of wire is \(0.5,\) then the diameter of the wire will:
1. | \(0.02\)%. | decrease by2. | \(0.01\)%. | decrease by
3. | \(0.04\)%. | decrease by4. | \(0.03\)%. | increase by
If \(\mathrm{E}\) is the energy stored per unit volume in a wire having \(\mathrm{Y}\) as Young's modulus of the material, then the stress applied is:
1.
2.
3.
4.
The stress versus strain graph is shown for two wires. If \(Y_1\) and \(Y_2\) are Young modulus of wire A and B respectively, then the correct option is:
1. \(Y_1>Y_2\)
2. \(Y_2>Y_1\)
3. \(Y_1=Y_2\)
4. cannot say
A ball falling into a lake of depth 200 m shows a 0.1% decrease in its volume at the bottom. What is the bulk modulus of the material of the ball?
1.
2.
3.
4.