The length of an iron wire is L and area of cross-section is A. The increase in length is l on applying the force F on its two ends. Which of the statement is correct ?
If S is stress and Y is young's modulus of material of a wire, the energy stored in the wire per unit volume is :
2Y / S
S / 2Y
2 S2 Y
Which one of the following is not a unit of Young's modulus ?
Nm-1
Nm-2
dyne cm-2
mega pascal
The Young's modulus of a wire is Y. If the energy per unit volume is E, then the strain will be :
EY
E/Y
There are two wires of same material and same length while the diameter of second wire is two times the diameter of first wire, then the ratio of extension produced in the wire by applying same load will be :
1 : 1
2 : 1
1 : 2
4 : 1
According to Hooke's law of elasticity, if stress is increased, the ratio of stress to strain is :
Increases
Decreases
Becomes zero
Remains constant
A wire elongates by l mm when a lad W is hanging from it. If the wire goes over a pulley and two weights W each are hung at the two ends, the elongation of the wire will be (in mm) :
1/2
l
2l
zero
A substance breaks down by a stress of 106 N / m 2. If the density of the material of the wire is 3 X 103 kg / m 3, then the length of the wire of the substance which will break under its own weight when suspended vertically will be :
66.6 m
60.0 m
33.3 mm
30.3 mm
Two wires are made of the same material and have the same volume. However wire 1 has cross- sectional area A and wire 2 has cross - sectional area 32 A. If the length of wire 1 increases by Δx on applying force F, how much force is needed to stretch wire 2 by the same amount ?
F
4 F
6 F
9 F
A 5 m long steel wire is suspended from the ceiling of a room. A sphere of mass 25 kg and 10 cm radius is attached to another end of the wire. The height of the ceiling is 5.21 m. When the sphere is made to oscillate as a pendulum, then its lowest point just touches the floor. The velocity of the sphere at the lowest point will be :
(Given : Y = 2 x 1011N/m2, radius of wire = 0.05 cm)
3.71 m/s
3.71 cm/s
37.1 cm/s
37.1 m/s