Which of the following depends on the breaking stress of a wire?
Length of the wire.
Radius of the wire.
Material of the wire.
Shape of the cross - section.
A thick copper rope of density 1.2 X 103 kg m -3 and Young's modulus 5 X 106 N m-2. 8 m in length,when hung from the ceiling of a room, the increase in its length due to its own weight is:
9.6 X 10-5m
19.2 X 10-7m
9.6 X 10-2m
9.6 m
In the given figure, if the dimensions of the wires are the same and materials are different, Young's modulus is more for :
B
A
None of these
The work done per unit volume in deforming a body is given by:
stess X strain
1 / 2 (stess X strain)
stess / strain
strain / stess
Which one of the following is not a unit of Young's modulus ?
Nm-1
Nm-2
dyne cm-2
mega pascal
A wire of Young's modulus Y, longitudinal strain X is produced, then the value of potential energy stored in its unit volume will be equal to :
Y X2
2 Y X 2
0.5 Y2 X
0.5 YX2
A thick rope of density 'ρ' and length 'L' is hung from a rigid support. The Young's modulus of the material of rope is 'Y'. The increase in length of the rope due to its own weight is :
1/4 ρgL2/Y
1/2 ρgL2/Y
ρ gL2/Y
ρ gL/Y
A force of 200 N is applied at one end of a wire of length 2 m and having area of cross-section 10-2 cm2. The other end of the wire is rigidly fixed. It coefficient of linear expansion of the wire α = 8 x 10-6/oC and Young's modulus Y = 2.2 x 1011 N/m2 and its temperature is increased by 5oC, then the increase in the tension of the wire will be :
2.4 N
8.8 N
4.2 N
4.4 N
A rubber piece is wider than it is thick. When it is stretched in length by some amount :
Its thickness decreases but its width increases.
Its thickness decreases but its width remains constant.
Its thickness decreases but its width decreases
Both its thickness and width decreases.
A wire of density 9 gm/cm3 is stretched and clamped between two clamps distant 100 cm apart by a force which produces an elongation of 0.05 cm in it. If Y = 9 x 1011 dyne/cm2 then the minimum frequency of transverse vibrations will be :
15.15 per sec
25.25 per sec
35.35 per sec
53.53 per sec
