15. A particle starting from the or...
Question

# 15. 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 (V3,3). The path of the particle makes with the x- axis an angle of (1) 30° (2) 45° (3) 60° (4) 09

NEET/Medical Exams
Physics
Solution
92
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The path of the particle makes with the ( x ) -axis an angle of ( 60^{circ} . ) Explanation: Given that, Coordinates ( (x, y)=(sqrt{3}, 3) ) A particle starting from origin(0,0)moves in a straight line in the (x, y)plane. The path of the particle makes with the x-axis an angle is ( tan theta=frac{y}{x} ) ( tan theta=frac{3}{sqrt{3}} ) ( tan theta=tan 60^{circ} ) ( theta=60^{circ} ) Hence, The path of the particle makes with the ( mathrm{x} ) -axis an angle of ( 60^{circ} . )