A Cubical Body Gets Deformed
If the angle of shear is 30\(^0\) for a cubical body and the change in length is 250 cm, then what must be the volume of this cubical body ?

An Elongated Wire
If a wire of length 4 m and crosssectional area of 2m² is stretched by a force of 3 KN, then determine the change in length due to this force. Given Young's modulus of material of wire 110 x 10⁹ N/m².

Elongation of Copper Wire
A copper wire is streched by 10 N force. If radius of wire decreases by 2%. How will Young's modulus of wire be affected?

Volumetric Analysis 
What will be the decrease in vloume of 100 cm³ of water under pressure of 100 atm if the compressibility of water is 4 x 10^-5 per unit atmospheric pressure?

Shear Modulus is Less than Young's Modulus
The shear modulus of a material is always considerably smaller than the Young's modulus for it. What does it signify?

The edge of an aluminium cube is 10 cm long. One face of the cube is firmly fixed to a vertical wall. A mass of 100 kg is then attached to the opposite face of the cube. The shear modulus of aluminium is 25 GPa. What is the vertical deflection of this face?

Show that work done by a stretching force to produce certain extension in the wire is W=\(\frac{1}{2}\) stretching force x extension. A wire that obeys Hooke's law is of length l₁ when it is in equilibrium under a tension F₁. Its length becomes l₂ when the tension is increased to F₂. Calculate the energy stored in the wire during this process.

What do you understand by Poisson's ratio? Find the value of Poisson's ratio at which the volume of a wire does not change when the wire is subjected to a tension.

State Hooke's law. Define Young's modulus of elasticity. A wire loaded by a weight of density 7.6 g cm^-3 is found to measure 90 cm. On immersing the weight in water, the length decreased by 0.18 cm. Find the original length of wire.

Define the following terms:
(i) elastic limit
(ii) elastic fatigue
(iii) breaking stress
A steel wire of cross-sectional area 0.5 mm² is held between two fixed supports. If the tension in the wire is negligible and it is just taut at a temperature of 20°C, determine the tension when the temperature falls to O°C. Young's modulus of steel is 21 x 10¹¹ dyne cm^-2 and the coefficient of linear expansion of steel is 12 x 10^-6 per ⁰C. Assume that the distance between the supports remains unchanged.

A boy's catapult is made of a rubber cord 42 cm long and 6 mm in diameter. The boy stretches the cord by 20 cm. Find the Young's modulus of the rubber if a stone weighing 0.02 kg when catapulated flies with a velocity of 20 ms^-1. Disregard the change in the cross-section of the cord in stretching.