The maximum load a wire can withstand without breaking when its length is reduced to half of its original length, will:
1. be doubled
2. be halved
3. be four times
4. remain the same
The temperature of the wire is doubled. Young's modulus of elasticity:
1. | will also double. | 2. | will become four times. |
3. | will remain the same. | 4. | will decrease. |
A spring is stretched by applying a load to its free end. The strain produced in the spring is:
1. volumetricA rigid bar of mass is supported symmetrically by three wires each of length . Those at each end are of copper and the middle one is of iron. The ratio of their diameters, if each is to have the same tension, is equal to:
1. | 2. | ||
3. | 4. |
A mild steel wire of length and cross-sectional area is stretched, well within the elastic limit, horizontally between two pillars (figure). A mass is suspended from the mid-point of the wire. Strain in the wire is:
1. | 2. | ||
3. | 4. |
A rectangular frame is to be suspended symmetrically by two strings of equal length on two supports (figure). It can be done in one of the following three ways;
The tension in the strings will be:
1. | the same in all cases. | 2. | least in (a). |
3. | least in (b). | 4. | least in (c). |
1. | Both the rods will elongate but there shall be no perceptible change in shape. |
2. | The steel rod will elongate and change shape but the rubber rod will only elongate. |
3. | The steel rod will elongate without any perceptible change in shape but the rubber rod will elongate and the shape of the bottom edge will change to an ellipse. |
4. | The steel rod will elongate without any perceptible change in shape but the rubber rod will elongate with the shape of the bottom edge tapered to a tip at the centre. |
The stress-strain graphs for the two materials are shown in the figure.
(assumed the same scale)
(a) | Material (ii) is more elastic than material (i) and hence material (ii) is more brittle |
(b) | Material (i) and (ii) have the same elasticity and the same brittleness |
(c) | Material (ii) is elastic over a larger region of strain as compared to (i) |
(d) | Material (ii) is more brittle than material (i) |
Choose the correct statements from the given ones:
1. (a) and (c) only
2. (c) and (d) only
3. (b) and (c) only
4. (b) and (d) only
A wire is suspended from the ceiling and stretched under the action of a weight suspended from its other end. The force exerted by the ceiling on it is equal and opposite to the weight.
(a) | Tensile stress at any cross-section of the wire is |
(b) | Tensile stress at any cross-section is zero. |
(c) | Tensile stress at any cross-section of the wire is |
(d) | Tension at any cross-section of the wire is |
Choose the correct option from the given ones:
1. (a) and (b) only
2. (a) and (d) only
3. (b) and (c) only
4. (a) and (c) only