In an isolated system the total energy of vibrating mass and spring is:

Explanation

(a) Variable: If the total energy of a vibrating mass and spring in an isolated system is variable, it means that the energy can change over time. However, in an isolated system, the total energy is conserved, meaning it remains constant. So, this option is not correct. (b) Low: If the total energy of a vibrating mass and spring in an isolated system is low, it implies that the energy is not sufficient. However, the total energy in an isolated system is determined by the initial conditions and remains constant throughout the vibrations. So, this option is not correct. (c) High: If the total energy of a vibrating mass and spring in an isolated system is high, it suggests that there is a large amount of energy involved. However, in an isolated system, the total energy remains constant and does not change. So, this option is not correct. (d) Constant: The correct option! In an isolated system, the total energy of a vibrating mass and spring remains constant. This means that the energy is neither increasing nor decreasing but remains the same throughout the vibrations. So, the correct option is (d) constant, as the total energy in an isolated system of a vibrating mass and spring remains constant.