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Standard XII

Physics

Position Time Graph

If the displa...

Question

If the displacement-time graph for the two particles A and B are straight lines inclined at angles of $30^{0}$ and $60^{0}$ with the time axis, then ratio of the velocities $v_{A} : v_{B}$ will be

1:2

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1:6

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8:1

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1:3

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Solution

The correct option is B 1:3
$\frac{v_{A}}{v_{B}} = \frac{slope of the curve A}{slope of the curve B}$
$= \frac{tan θ_{A}}{tan θ_{B}}$
$= \frac{tan 30^{o}}{tan 60^{o}}$
$= 1 : 3$

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