A student makes a pendulum by tying a string to a small solid sphere and hanging it from a retort stand. The time, in seconds, taken by the pendulum to swing from one end to the other and back again is called the period, \(P\) seconds. The period is directly proportional to the square root of the length of the string, \(L\) cm. If the value of \(P\) increases by 25%, what is the corresponding percentage change in the value of \(L\)?[3]
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