323
Question
Read the following two statements below carefully and state, with reasons, if it is true or false. (a) The Young’s modulus of rubber is greater than that of steel; (b) The stretching of a coil is determined by its shear modulus.
Open in App
Solution
(a)
The given statement is false.
Young’s modulus is given by the equation,
Y = stress strain
At a particular stress, Young’s modulus is inversely proportional to the strain.
In rubber, at a particular stress, the strain is more in comparison to that of steel. Therefore, the Young’s modulus for rubber is less and rubber is less elastic than steel.
(b)
The given statement is true.
When the coil is stretched or compressed the shear stress is developed in the coil.
The shear modulus of the material is,
G = shear stress shear strain
Therefore, the stretching of the coil depends on the shear modulus of rigidity of the material.
(a)
The given statement is false.
Young’s modulus is given by the equation,
At a particular stress, Young’s modulus is inversely proportional to the strain.
In rubber, at a particular stress, the strain is more in comparison to that of steel. Therefore, the Young’s modulus for rubber is less and rubber is less elastic than steel.
(b)
The given statement is true.
When the coil is stretched or compressed the shear stress is developed in the coil.
The shear modulus of the material is,
Therefore, the stretching of the coil depends on the shear modulus of rigidity of the material.
Suggest Corrections
9
Similar questions