Which of the following has no dimensions?
Strain
Angular velocity
Momentum
Angular Momentum
For a constant hydraulic stress on an object, the fractional change in the object's volume ( Δ V / V ) and its bulk modulus (B) are related as:
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
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 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 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
Which one of the following is not a unit of Young's modulus ?
Nm-1
Nm-2
dyne cm-2
mega pascal
A steel wire of uniform cross-section of 2 mm2 is heated upto 50oC and clamped rigidly at two ends. If the temperature of wire falls to 30oC then change in tension in the wire will be :
(Given : Coefficient of linear expansion of steel is 1.1 x 10-5°C and Young's modulus of elasticity of steel is 2 x 1011N/m2)
22 N
44 N
88 N
132 N
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
When a body of mass M is hung from a spring, the spring extends by 1 cm. If the body of mass 2 M be hung from the same spring, the extension of the spring will be :
1 cm
2 cm
0.5 cm
4 cm