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Read the following two statements below carefully and state, with reasons, if it is true or false. 

1. The Young’s modulus of rubber is greater than that of steel; 

2. The stretching of a coil is determined by its shear modulus.

1 Answer

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1. The Young’s modulus of a -material defined as, Y = \(\frac {stress}{strain}\)

Since, rubber stretches more than steel ∆L for rubber is greater than that of steel, therefore (∆L/L of rubber) > (∆L/L of steel) Since, Y \(α \frac{1}{strain}\) and, strain = ∆L/L

Since the strain of rubber is greater, its Youngs modulus is less. Hence false,

2. The Stretching of a coil depends on the shear modulus of the material because for the coil to be stretched, a shear force has to applied to change the shape of the coil. Hence the statement is true.

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