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Standard XI

Physics

Different Kinds of Motion

For a particl...

Question

For a particle moving along $+ x$ -axis, which of the following velocity-position graphs is possible (position is represented by $x$ - coordinate of the particle)

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None of these

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Solution

The correct option is D None of these
If displacement of the particle is increasing then the sign of velocity must remain same. It is clearly visible from all graphs that as $x$ -increases velocity changes sign. Since, this is not possible, no graph represents the possible motion.

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A particle is constrained to move along $x$ -axis with a velocity $u$ along the positive $x$ -axis. The acceleration $^{'} a^{'}$ of the particle varies as $a = - b x,$ where b is a positive constant and $x$ is the x-coordinate of the position of the particle. Then select the correct alternative(s)

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For a particle moving along +x-axis, which of the following velocity-position graphs is possible (position is represented by x - coordinate of the particle)

The correct option is D None of theseIf displacement of the particle is increasing then the sign of velocity must remain same. It is clearly visible from all graphs that as x-increases velocity changes sign. Since, this is not possible, no graph represents the possible motion.

For a particle moving along $+ x$ -axis, which of the following velocity-position graphs is possible (position is represented by $x$ - coordinate of the particle)

The correct option is D None of these
If displacement of the particle is increasing then the sign of velocity must remain same. It is clearly visible from all graphs that as $x$ -increases velocity changes sign. Since, this is not possible, no graph represents the possible motion.