A block is tied to one end of a light string of length 1 whose other end is fixed to a rigid support. The block is given a speed of `sqrt(7gl//2)` from the lowermost position. Find the height and speed at which the block leaves the circle. Also find the maximum height to which it rises finally.

Explanation

To solve the problem step by step, we will use the principles of energy conservation and circular motion.

### Step 1: Identify the initial conditions
The block is given an initial speed \( u = \sqrt{\frac{7gL}{2}} \) at the lowest position of the circular path.

### Step 2: Determine the height at which the block leaves the circular path
The block will leave the circular path when the tension in the string becomes zero. At this point, the only forces acting on the block are gravity and the centripetal force required to keep it moving in a circle.

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