Young Modulus Quiz

A steel wire of original length 2 m and cross-sectional area 1 mm² is subjected to a force of 200 N. If the extension produced in the wire is 0.1 mm, calculate the Young's modulus of the material of the wire.

• 2 × 10¹¹ N/m²

• 4 × 10¹¹ N/m²

• 1 × 10¹¹ N/m²

• 3 × 10¹¹ N/m²

A copper rod of length 1.5 m and diameter 2 cm is stretched by a force of 5000 N. If the extension in the rod is 0.5 mm, what is the Young's modulus of copper?

• 1.1 × 10¹¹ N/m²

• 1.2 × 10¹¹ N/m²

• 1.3 × 10¹¹ N/m²

• 1.4 × 10¹¹ N/m²

A material has a stress-strain graph that is a straight line passing through the origin with a slope of 2 × 10¹¹ N/m². What is the Young's modulus of this material?

• 1 × 10¹¹ N/m²

• 2 × 10¹¹ N/m²

• 3 × 10¹¹ N/m²

• 4 × 10¹¹ N/m²

A wire is subjected to a tensile stress of 5 × 10⁷ N/m² and the corresponding strain is 2.5 × 10⁻³. Calculate the Young's modulus of the wire.

• 1 × 10¹⁰ N/m²

• 2 × 10¹⁰ N/m²

• 3 × 10¹⁰ N/m²

• 4 × 10¹⁰ N/m²

A stress-strain graph for a material shows a linear region with a slope of 1.5 × 10¹¹ N/m². What does this slope represent?

• The tensile strength of the material

• The Young's modulus of the material

• The yield strength of the material

• The fracture point of the material

A cylindrical rod of length 2 m and radius 0.01 m is subjected to a tensile force of 1000 N. If the Young's modulus of the material is 2 × 10¹¹ N/m², calculate the extension produced in the rod.

• 0.5 mm

• 1 mm

• 1.5 mm

• 2 mm

A material has a Young's modulus of 2.5 × 10¹¹ N/m². If a stress of 5 × 10⁸ N/m² is applied, what is the resulting strain?

• 2 × 10⁻³

• 1 × 10⁻³

• 3 × 10⁻³

• 4 × 10⁻³

A stress-strain graph for a certain material shows a linear region with a slope of 3 × 10¹¹ N/m². If the stress applied is 6 × 10⁸ N/m², what is the strain?

• 2 × 10⁻³

• 1 × 10⁻³

• 3 × 10⁻³

• 4 × 10⁻³

A wire of length 3 m and cross-sectional area 2 mm² is stretched by a force of 300 N. If the Young's modulus of the wire is 1.5 × 10¹¹ N/m², calculate the extension produced in the wire.

• 0.3 mm

• 0.4 mm

• 0.5 mm

• 0.6 mm

A stress-strain graph for a material shows a linear region with a slope of 2 × 10¹¹ N/m². If the strain is 1 × 10⁻³, what is the stress applied?

• 1 × 10⁸ N/m²

• 2 × 10⁸ N/m²

• 3 × 10⁸ N/m²

• 4 × 10⁸ N/m²