Two particles start simultaneously from the same point and move along two straight lines, one with uniform velocity u and the other from rest with uniform acceleration f . Let α be the angle between their directions of

Correct answer: A. (u α)/(f) Using ^n C_r+ ^n C_ r-1 = ^ n+1 C_r= ^n C_ r+1 + n C_ r-1 + ^n C_r+ ^n C_r= ^n C_ r+1 + ^ n+1 C_r+ ^n C_r ^ n+1 C_ r+1 + ^ n+1 C_r ^ n+2 C_ r+1

JEE Main 2003

Exam: JEE Main
Year: 2003
Subject: Physics
Chapter: Motion in One Dimension

JEE Main 2003 · Physics · Motion in One Dimension

Two particles start simultaneously from the same point and move...

Two particles start simultaneously from the same point and move along two straight lines, one with uniform velocity

\overrightarrow{\mathrm{u}}

and the other from rest with uniform acceleration

\overrightarrow{\mathrm{f}}

. Let

\alpha

be the angle between their directions of motion. The relative velocity of the second particle w.r.t. the first is least after a time.

Options

A $\frac{u \cos \alpha}{f}$
B $\frac{u \sin \alpha}{f}$
C $\frac{\mathrm{f} \cos \alpha}{\mathrm{u}}$
Du $\sin \alpha$ .

Correct answer

A. $\frac{u \cos \alpha}{f}$

Step-by-step solution

Using

{ }^n C_r+{ }^n C_{r-1}={ }^{n+1} C_r={ }^n C_{r+1}+\underbrace{n} C_{r-1}+{ }^n C_r+{ }^n C_r={ }^n C_{r+1}+{ }^{n+1} C_r+{ }^n C_r

{ }^{n+1} C_{r+1}+{ }^{n+1} C_r \Rightarrow{ }^{n+2} C_{r+1}

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