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. |
Consider two cylindrical rods of identical dimensions, one of rubber and the other of steel. Both the rods are fixed rigidly at one end of the roof. A mass M is attached to each of the free ends at the centre of the rods.
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. |
A rod of length l and negligible mass is suspended at its two ends by two wires of steel (wire A) and aluminium (wire B) of equal lengths (figure). The cross-sectional areas of wires A and B are respectively. ()
a. | Mass m should be suspended close to wire A to have equal stresses in both wires. |
b. | Mass m should be suspended close to B to have equal stresses in both wires. |
c. | Mass m should be suspended in the middle of the wires to have equal stresses in both wires. |
d. | Mass m should be suspended close to wire A to have equal strain in both wires. |
The correct statements are:
1. (b, c)
2. (a, d)
3. (b, d)
4. (c, d)
For an ideal liquid,
(a) | the bulk modulus is infinite. |
(b) | the bulk modulus is zero. |
(c) | the shear modulus is infinite. |
(d) | the shear modulus is zero. |
Choose the correct option:
1. | (a, d) |
2. | (b, d) |
3. | (b, c) |
4. | (c, d) |
A copper and a steel wire of the same diameter are connected end to end. A deforming force \(F\) is applied to this composite wire which causes a total elongation of \(1\) cm. The two wires will have:
a. | the same stress |
b. | different stress |
c. | the same strain |
d. | different strain |
Choose the correct option:
1. | (a, b) |
2. | (a, d) |
3. | (b, c) |
4. | (c, d) |