The figure shows the load extension graph of two wires of material A and B having same dimensions. Which of the two materials has greater value of Young’s modulus?

Solution

Young's modulus is given by,

Y = \frac{F \times L}{A \times ∆ L}

Therefore,

F = \frac{YA}{L} ∆ L

Thus the slope of load v/s extension graph is

\frac{YA}{L} .

For wires of same dimensions, the slope of graph is directly proportional to Young's modulus. Since slope of graph for A is greater than that of B, therefore the value of Young's modulus of material of A is greater than B.

Some More Questions From Mechanical Properties of Fluids Chapter

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Mechanical Properties Of Fluids

The figure shows the load extension graph of two wires of material A and B having same dimensions. Which of the two materials has greater value of Young’s modulus?

Some More Questions From Mechanical Properties of Fluids Chapter

Define rigid body.

Which state of matter possesses rigidity?

What is elasticity?

Name the property of material that opposes the deformation in it.

Name the quantity which has neither unit nor dimensions.

Why strain is dimensionless?

What is stress?

Name the two types of stress.

What is tensile stress?

What is compression stress?

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