question_answer

A particle starting from the origin (0, 0) moves in a straight line in the (x, y) plane. Its coordinates at a later time are \[(\sqrt{3},\,3)\]. The path of the panicle makes with the x-axis an angle of

A)  \[{{30}^{\text{o}}}\]   

B)                                        \[{{45}^{\text{o}}}\]                     

C)  \[{{60}^{\text{o}}}\]                     

D)        \[{{0}^{\text{o}}}\]

Correct Answer: C

Solution :

Draw the situation as shown. OA represents the path of the particle starting from origin O(0, 0). Draw a perpendicular from point A to x-axis. Let path of the particle makes an angle \[\Omega \] with the x-axis, then \[\phi \] = slope of line OA \[\phi ={{\phi }_{0}}+4t\] or  \[\phi \]