A machine mounted on a single coil spring has a period of free vibration of $${{\text{t}}_{\text{p}}}$$ . If the spring is cut into four equal parts and placed in parallel and the machine is mounted on them, then the period of free vibration of the new system will become

A machine mounted on a single coil spring has a period of free vibration of $${{\text{t}}_{\text{p}}}$$ . If the spring is cut into four equal parts and placed in parallel and the machine is mounted on them, then the period of free vibration of the new system will become Correct Answer $$\frac{{{{\text{t}}_{\text{p}}}}}{4}$$

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In the following question, the 1st and the last part of the sentence/passage are numbered 1 and 6. The rest of the sentence/ passage is split into four parts and named P, Q, R and S. These four parts are not given in their proper order. Read the sentence/ passage and find out which of the four combinations is correct. 1. Straight As may be the wrong goal, suggests a new study that has determined learning is optimized when we fail 15% of the time. P. This is a concept that society has intuited for a long time, across a variety of domains — for instance, this just-outside-one’s-grasp learning is observable in video games, in which the player is encouraged or forced to a higher level of difficulty once a performance criterion has been achieved.  Q. In both cases, machines and animals learned the fastest when difficulty was such that the subject would be right 85% of the time and be wrong 15%. But researchers say their finding is likely applicable to humans.  R. Interestingly, it’s not a new concept — the “zone of proximal development,” a theory developed in the 1930s by psychologist Lev Vygotsky described the sweet spot of learning: when a student is faced with a challenge just beyond their ability to solve it alone. It’s a ‘Goldilock’s zone'. S. A ratio, developed by researchers at various universities was tested on computers via machine learning and applied to previous research looking into how animals learn.  6. If one is taking classes that are too easy and acing them all the time, then one probably isn’t getting as much out of a class as someone who’s struggling but managing to keep up.