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WBJEE · Physics · Motion In One Dimension

Two particles are simultaneously projected in the horizontal direction from a point \(P\) at a certain height. The initial velocities of the particles are oppositely directed to each other and have magnitude \(v\) each. The separation between the particles at a time when their position vectors (drawn from the point \(P\) ) are mutually perpendicular, is

  1. A \(\frac{v^{2}}{2 g}\)
  2. B \(\frac{v^{2}}{g}\)
  3. C \(\frac{4 v^{2}}{g}\)
  4. D \(\frac{2 v^{2}}{g}\)
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Answer & Solution

Correct Answer

(C) \(\frac{4 v^{2}}{g}\)

Step-by-step Solution

Detailed explanation

According to the question, Representation of position vectors of two particles (drawn from the point \(P\) In two dimension, the position vectors \(\mathbf{r}_{1}\) and \(\mathbf{r}_{2}\) represented as…
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