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NEET 2007
Exam
NEET
Year
2007
Subject
Physics
Chapter
Mathematics in Physics

NEET 2007 · Physics · Mathematics in Physics

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. A45∘45^{\circ}
  2. B60∘60^{\circ}
  3. C0∘0^{\circ}
  4. D30∘30^{\circ}

Correct answer

B. 60∘60^{\circ}

Step-by-step solution

Particle starts moving from (0,0)(0, 0) and goes till ((\sqrt{3}, 3)). So total displacement along x axis is (\sqrt{3}) unites and along y axis is 3 units. We know that: ⇒tan⁡(θ)=yx⇒tan⁡(θ)=33⇒tan⁡(θ)=3⇒θ=π3=60∘\begin{aligned} & \Rightarrow \tan (\theta)=\frac{y}{x} \\ & \Rightarrow \tan (\theta)=\frac{3}{\sqrt{3}} \\ & \Rightarrow \tan (\theta)=\sqrt{3} \\ & \Rightarrow \theta=\frac{\pi}{3}=60^{\circ} \end{aligned})$
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