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.

a) False.
When a steel wire and a rubber of identical dimensions are stretched the rubber will be extended more. As Young's modulus is inversely proportional to strain, rubber will have lesser value of Young's modulus.

b) True.
When a coil is stretched, there's change in shape of the coil (rather than length/volume), the modulus concerned here is shear modulus.