When an object is shot from the bottom of a long smooth inclined plane kept at an angle 60° with horizontal, it can travel a distance x1 along the plane. But when the inclination is decreased to 30° and the same object is shot with the same velocity, it can travel x2 distance. Then x1 : x2 will be:
A. 1 : \(\sqrt {3}\)
B. 1 : 2\(\sqrt {3}\)
C. 1 : \(\sqrt {2}\)
D. \(\sqrt {3}\) : 1
Answer:A
When an object is shot from the bottom of a long smooth inclined plane kept at an angle 60° with horizontal, it can travel a distance x1 along the plane. But when the inclination is decreased to 30° and the same object is shot with the same velocity, it can travel x2 distance. Then x1 : x2 will be:
A. 1 : \(\sqrt {3}\) B. 1 : 2\(\sqrt {3}\) C. 1 : \(\sqrt {2}\) D. \(\sqrt {3}\) : 1