The ratio of Young's modulus of the material of two wires is 2 : 3. If the same stress is applied on both, then the ratio of elastic energy per unit volume will be:
1. 3 : 2
2. 2 : 3
3. 3 : 4
4. 4 : 3
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.
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.
A uniform cube is subjected to volume compression. If each side is decreased by 1%, then bulk strain is:
1. | 0.01 | 2. | 0.06 |
3. | 0.02 | 4. | 0.03 |
The compressibility of water is per unit atmospheric pressure. The decrease in volume of 100 cubic centimeter of water under a pressure of 100 atmosphere will be:
1. 0.4 cc
2.
3. 0.025 cc
4. 0.004 cc
The length of an elastic string is \(a\) metre when the longitudinal tension is \(4\) N and \(b\) metre when the longitudinal tension is \(5\) N. The length of the string in metre when the longitudinal tension is \(9\) N will be:
1. | \(a-b\) | 2. | \(5b-4a\) |
3. | \(2b-\frac{1}{4}a\) | 4. | \(4a-3b\) |
A wire of negligible mass and length 2 m is stretched by hanging a 20 kg load to its lower end keeping its upper end fixed. If work done in stretching the wire is 50 J, then the strain produced in the wire will be:
1. 0.5
2. 0.1
3. 0.4
4. 0.25
The breaking stress of a wire depends on:
1. | Length of the wire |
2. | Applied force |
3. | The material of the wire |
4. | Area of the cross-section of the wire |
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
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 |