Two wires of same material and length are stretched by the same force. Their masses are in the ratio 4 : 3. The ratio of their elongation will be
16 : 9
9 : 16
4 : 3
3 : 4
A wire suspended vertically from one of its ends is stretched by attaching a weight 100 N to the lower end. The wire stretches by 1mm. The elastic energy stored in the wire is
0.02 J
0.05 J
0.1 J
0.2 J
A circular metal plate of radius 5 cm rests on a layer of centre oil 2mm thick whose coefficient of viscosity is 15.5 dyne cm-2 s. The value of shearing stress when a horizontal force move the plate with a speed of 5 cm/s will be
387.5 dyne cm-2
328 dyne cm-2
250 dyne cm-2
428 dyne cm-2
A steel wire of length 15 m has density = 7.7 × 103 kg/m3 and Young's modulus = 2.2 × 1011 N/m2. It is subjected to a tension which produces an elastic strain of 1%. Its fundamental frequency of vibration must be
256 Hz
178 Hz
170 Hz
200 Hz
B.
178 Hz
A wire canbe brokenbyapplyinga load of200 N. The force required to break another wire of the same length and same material, but double in diameter, is
200 N
400 N
600 N
800 N
A cube of side 40 mm has its upper face displaced by 0.1 mm by a tangenbtial force of 8 kN. The shearing modulus of cube is
2 × 109 Nm-2
4 Nm-2
8 × 109 Nm-2
16 × 109 Nm-2
A wire of length L and area of cross-section A is stretched through a distance x metre by applying a force F along length, then the work done in this process is (Y is Young's modulus of the material)
The modulus of elasticity is dimensionally equivalent to
strain
force
stress
coefficient of viscosity
The Poisson's ratio of a material is 0.5. If a force is applied to a wire of this material, there is a decrease in the cross-sectional area by 4%. The percentage increase in the length is
1 %
2 %
2.5 %
4 %