An Airplane travels over a rectangular field 100 m × 50m, parallel to its length. What should be the speed of the plane so that the field becomes square in the plane frame?
The field becomes square in the plane frame only when its length and breadth become equal. Originally, the field is in rectangular shape, with length = 100m and breadth = 50 m. In order to make the rectangular field into square field, either the breadth can be increased or length can be reduced. But we know that with the speed comparable to the speed of light, the object’s length contracts. Hence, the only possible way to make the rectangular field into square field is that the plane must travel along the length of the field with the speed comparable to the speed of light.
