GATE Mechanical Engineering (ME) 2021 Shift 2 Solved Paper

A machine of mass 100 kg is subjected to an external harmonic force with a frequency of 40 rad/s. The designer decides to mount the machine on an isolator to reduce the force transmitted to the foundation. The isolator can be considered as a combination of stiffness (K) and damper (damping factor, ζ) in parallel. The designer has the following four isolators:
1) k = 640 kN/m, ζ = 0.70 
2) k = 640 kN/m, ζ = 0.07
3) k = 22.5 kN/m, ζ = 0.70
4) k = 22.5 kN/m, ζ = 0.07
Arrange the isolators in the ascending order of the force transmitted to the foundation.