A metallic of length l and cross - sectional area A is made of a material of Young's modulus Y. If the rod is elongated by an amount y, then the work done is proportional to:
y
1 / y
y2
1/ y2
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
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
Two wires A and B are of the same material. Their lengths are the ratio 1 : 2 and diameters are in the ratio 2 : 1. When stretched by forces FA and FB respectively, they get equal increases in their lengths. Then the ratio FA / FB should be;
1 : 2
1 : 1
2 : 1
8 : 1
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 :
4 : 1
A wire of diameter 1 mm breaks under a tension of 1000 N. Another wire, of same material as that of the first one, but of diameter 2 mm breaks under a tension equal to:
500 N
100 N
1000 N
4000 N
A stretched rubber shows :
Increases kinetic energy
Increase potential energy
Decreases kinetic energy
Decreased potential energy
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 cube is subjected ta uniform volume compression. If the side of the cube decreases by 2 %, Calculate the bulk strain ?
0.02
0.03
0.04
0.06
A metal of ring of initial radius r and cross - sectional area A is fitted onto a wooden disc of radius R > r. if Young's modulus of the metal is Y, then the tension in the ring is: