Power of silence is not known as it is very difficult to define silence- for some one not speaking is silence but for a yogi shutting the mind is silence. We think 'not speaking is silence' without recognising the fact we 'talk to ourselves' all the time. In fact when we are not talking to some one the mind is engaged in that conversation only. But when we talk to ourself our mind is very active.
Science discovered the metabolic rate of our body is a function of number of thoughts processed by mind. When we meditate our breath & heart rate comes down dramatically. When we are anxious the breathing & heart races up. Hence merely not speaking is not Silence.
A true silence is achieved only through Meditation where the meditator reaches a state where the mind is inactive. This blissful state is the true silence. Blissful state is one where we are very peaceful for no reasons. All great masters, leaders and inventors are believed to reach this state at least 20 minutes a day. I recommend you to learn and do meditation early to center your thoughts and remain peaceful throughout the day.
Whole of my heart.NC