The ratio of lengths of two rods A and B of the same material is 1:2 and the ratio of their radii is 2:1. The ratio of modulus of rigidity of A and B will be:
1. | 4:1 | 2. | 16:1 |
3. | 8:1 | 4. | 1:1 |
When a spiral spring is stretched by suspending a load on it, the strain produced is called:
1. | Shearing |
2. | Longitudinal |
3. | Volume |
4. | shearing and longitudinal |
The Young's modulus of the material of a wire is 6×1012 N/m2 and there is no transverse strain in it, then its modulus of rigidity will be:
1. 3×1012 N/m2
2. 2×1012 N/m2
3. 1012 N/m2
4. None of the above
Modulus of rigidity of a liquid:
1. Non zero constant
2. Infinite
3. Zero
4. Can not be predicted
A cube of aluminium of sides 0.1 m is subjected to a shearing force of 100 N. The top face of the cube is displaced through 0.02 cm with respect to the bottom face. The shearing strain would be:
1. 0.02
2. 0.1
3. 0.005
4. 0.002
The upper end of a wire of radius 4 mm and length 100 cm is clamped and its other end is twisted through an angle of 30°. Then angle of shear is
1. 12°
2. 0.12°
3. 1.2°
4. 0.012°
A rod of length l and radius r is joined to a rod of length l/2 and radius r/2 of same material. The free end of small rod is fixed to a rigid base and the free end of larger rod is given a twist of θ, the twist angle at the joint will be
1. θ/4
2. θ/2
3. 5θ/6
4. 8θ/9
Shearing stress causes a change in-
1. Length
2. Breadth
3. Shape
4. Volume
To break a wire, a force of 106N/m2 is required. If the density of the material is 3×103 kg/m3, then the length of the wire which will break by its own weight will be -
1. 34 m
2. 30 m
3. 300 m
4. 3 m
The strain-stress curves of three wires of different materials are shown in the figure. P, Q and R are the elastic limits of the wires. The figure shows that:
1. | Elasticity of wire P is maximum. |
2. | Elasticity of wire Q is maximum. |
3. | Tensile strength of R is maximum. |
4. | None of the above is true. |