Young modulus & deformation of solids multiple choice questions

Young Modulus & Deformation Of Solids

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1 of 10

A sample of wire has a Young modulus E. A second sample of wire made from an identical material has three times the length and half the diameter of the first sample.

What is the Young modulus of the second sample of wire in terms of E ?

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2 of 10

Two vertical copper wires X and Y of equal length are joined as shown. Y has a greater diameter than X. A weight W is hung from the lower end of Y.

Diagram showing two vertical copper wires of different diameters with a weight hung from the lower end.

Which of the following is correct?

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3 of 10

Two wires X and Y have the same extension for the same load.

X has a diameter d and is made of a metal of density ρ and Young modulus E.

Y has the same mass and length as X but its diameter is 2d.

What are the density and the Young modulus of the metal from which Y is made?

Table showing the density and Young modulus options for metal Y with density and Young modulus values of rho over 2, rho over 4, E over 4, and 4E.

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4 of 10

An experiment is carried out to determine the Young modulus E of steel using a vertical wire of initial length L and cross-sectional area A. Various weights are suspended from the wire. A graph of extension against weight is plotted.

Graph showing the relationship between extension and weight in an experiment to determine the Young modulus of steel.

What does the gradient of the graph represent?

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5 of 10

Which quantities can be written in the fundamental units kg m^–1 s^–2?

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6 of 10

A tensile force produces an extension ∆L in a steel wire of initial length L and diameter d.

The same steel is used to make a second wire of initial length 2L and diameter $\frac{d}{2}$ .

What is the extension when the same force is applied to the second wire?

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7 of 10

A load of 50 N is suspended from a wire that has an area of cross-section of 1 mm².

The stress in the wire, in Pa, is between

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8 of 10

What is the name given to a material that breaks without deformation when a force is applied to it?

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9 of 10

What cannot be used as a unit for the Young modulus?

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10 of 10

The force F against extension x graphs for four different wires A, B, C and D up to their breaking points are shown below.

Graph showing force F against extension x for four different wires A, B, C, and D up to their breaking points.

Which wire has the greatest work done on it before it breaks?

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