Archit Junnarkar wrote:I got your point. So ideally I can even play this particular piece by alternately damping only two strings at a time and not placing my other fingers on the other two strings i.e. exactly as mentioned in the Music Sheet.
The music sheet will never tell you what to do with fingers not currently involved in playing. You need to use your own experience and reasoning for that. If this was a real piece of music, or even a study, the decision what to do with those other fingers would depend on whether you wanted the other strings keep ringing or not. If not, it makes sense to keep your fingers planted on those strings, so that you don't play them accidentally, and also to give some additional stability for your hand.
However, as this is an exercise with purpose to teach not only string damping, but also right hand finger independence (although it doesn't clearly say so), it makes sense to keep all the fingers planted on the strings. It will be hard at first, because the other fingers will want to move with the picking finger (with the exception of thumb), but as you practice this more, the fingers will become more independent of each other, which is the goal of this exercise.