Elastic Modulus

Answer the following.

What is the strain in a wire cable of the original length 50 m whose length increases by 2.5 cm when a load is lifted?

Answer the following.

A composite wire is prepared by joining a tungsten wire and steel wire end to end. Both the wires are of the same length and the same area of cross-section. If this composite wire is suspended to a rigid support and a force is applied to its free end, it gets extended by 3.25 mm. Calculate the increase in the length of tungsten wire and steel wire separately.
(Y_Tungsten = 4.1 × 10¹¹ Pa. Y_Steel = 2 × 10¹¹ Pa)

Answer the following:

What is Young’s modulus?

Answer in one sentence.

What is Young’s modulus of a rigid body?

Long answer type question.

Distinguish between Young’s modulus, bulk modulus, and modulus of rigidity.

Long answer type question.

Describe an experiment to find out Young’s modulus of the material in the form of a long string wire.

Answer the following.

A wire of mild steel having an initial length 1.5 m and diameter 0.60 mm gets extended by 6.3 mm when a certain force is applied to it. If Young’s modulus of mild steel is 2.1 × 10¹¹ N/m², calculate force applied.

Answer the following.

A solid metal sphere of volume 0.31 m³ is dropped in an ocean where water pressure is 2 × 10⁷ N/m². Calculate change in volume of the sphere if the bulk modulus of the metal is 6.1 × 10¹⁰ N/m².