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Byju's Answer

Standard XII

Physics

PE Diagram

Potential ene...

Question

Potential energy curve $U$ of a particle as function of the position of a particle is shown. The particle has total mechanical energy $E$ of $3.0$ joules. Then select correct alternative.

It can never be present at

x = 0 m

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It can never be present at

x = 5 m

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x = 2

its kinetic energy of

0 J

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x = 1

its kinetic energy

3 J

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Solution

The correct option is B It can never be present at $x = 0 m$
Total mechanical energy $E = 3.0$ J
Total energy = Potential energy + kinetic energy

$∴$ $E = U + K$ where $K > 0$ (always)

From the graph, at $x = 0$ m, we get $U = 6$ J

$∴$ $3 = 6 + K$ $⟹ K = - 3$ J (Not possible)

Thus the particle can never be present at $x = 0 m$

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Potential energy curve U of a particle as function of the position of a particle is shown. The particle has total mechanical energy E of 3.0 joules. Then select correct alternative.

The correct option is B It can never be present at x=0mTotal mechanical energy E=3.0 J Total energy = Potential energy + kinetic energy ∴ E=U+K where K>0 (always)From the graph, at x=0 m, we get U=6 J∴ 3=6+K ⟹K=−3 J (Not possible)Thus the particle can never be present at x=0 m

Potential energy curve $U$ of a particle as function of the position of a particle is shown. The particle has total mechanical energy $E$ of $3.0$ joules. Then select correct alternative.