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
A sphere of radius 3 cm is subjected to a pressure of 100 atm. Its volume decreases by 0.3 cc. What will be bulk modulus?
4π X 105 atm
4π X 3 X 103 atm
4π X 106 atm
4π X 108 atm
Two rods of different materials having coefficients of linear expansion α1 and α2 , Young's modulii Y1 and Y2 respectively are fixed between two rigid massive walls. The rods are heated such that they undergo the same increase in temperature. There is no bending of rods. If α1 : α2 =2 : 3, the thermal stresses developed in the two rods are equal provided Y1 : Y2 is equal to :
2 : 3
3 : 2
4 : 9
The pressure of a medium is changed from 1.01 x 105 Pa and change in volume is 10% keeping the temperature constant. The bulk modulus of the medium is:
204.8 x 105 Pa
102.4 x 105 Pa
51.2 x 105 Pa
1.55 x 105 Pa
A wire fixed at the upper end stretches by length l by applying a force F. The work done in stretching will be :
F / 2l
Fl
2 Fl
Fl / 2
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 ?
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.
An aluminium rod of Young's modulus 7.0 x 109 N/m2 has a breaking strain of 0.2%. The minimum cross-sectional area of the rod in m2 in order to support a load of 104 newton is :
1.0 x 10-2
1.0 x 10-3
1.4 x 10-2
7.1 x 10-4
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
A stretched rubber shows :
Increases kinetic energy
Increase potential energy
Decreases kinetic energy
Decreased potential energy