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JIPMER 2009
Exam
JIPMER
Year
2009
Subject
Physics
Chapter
Motion in One Dimension

JIPMER 2009 · Physics · Motion in One Dimension

A particle starting from the origin (0,0) moves in a straight line...

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

Options

  1. A30∘30^{\circ}
  2. B45∘45^{\circ}
  3. C60∘60^{\circ}
  4. D0∘0^{\circ}

Correct answer

C. 60∘60^{\circ}

Step-by-step solution

Draw the situation as shown. OA represents the path of the particle starting from origin O(0,0)O(0,0) Draw a perpendicular from point Atox−axis.Letpathoftheparticlemakesanangleto x-axis. Let path of the particle makes an angle\theta with thex−axis,thenthe x -axis, thentan⁡θ= slope of line OA=ABOB=33=3 or θ=60∘\begin{aligned} \tan \theta & =\text{ slope of line } O A \\ & =\frac{A B}{O B}=\frac{3}{\sqrt{3}}=\sqrt{3} \\ \text{ or } \quad \theta & =60^{\circ}\end{aligned}$$
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