If a stone is attached with a string and oscillates in to and fro motion then if the string cuts when the stone is at its highest position then what will be the path of the stone to be travelled

When the string cuts at the stone's highest position in its to and fro oscillation, the stone will continue moving in a straight line according to Newton's first law of motion (law of inertia).

To determine the path the stone will travel after the string cuts, we need to consider the motion of the stone just before the string is cut.

When the stone is at its highest position, it momentarily stops for an instant before starting to move downward due to the force of gravity. At this point, the stone has zero velocity in the vertical direction, but it retains its horizontal velocity.

Once the string is cut, the stone will continue moving horizontally with the same velocity it had just before the string was cut. Since there is no force acting in the horizontal direction, the stone will travel in a straight line in the horizontal direction.

In summary, after the string is cut, the stone will continue moving in a straight line horizontally, following the same horizontal path it was following just before the string was cut.