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Standard XII

Physics

Potential Energy

A particle wi...

Question

A particle with total energy $E$ is moving in a potential energy region $U (x)$ . Motion of the particle is restricted to the region when :

U (x) < E

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U (x) = 0

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U (x) \leq E

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U (x) > E

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Solution

The correct option is C $U (x) \leq E$

Total energy of the particle: Kinetic energy + Potential Energy
$\Rightarrow E = K E + U (x)$
$\Rightarrow K E = E - U (x)$

For a moving particle the kinetic energy must be positive i.e $K E > 0$
$U (x) \leq E$

Hence, the correct option is $C$

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A particle with total energy E is moving in a potential energy region U(x). Motion of the particle is restricted to the region when :

The correct option is C U(x)≤E Total energy of the particle: Kinetic energy + Potential Energy ⇒E=KE+U(x) ⇒KE=E−U(x)For a moving particle the kinetic energy must be positive i.e KE>0 U(x)≤E Hence, the correct option is C

A particle with total energy $E$ is moving in a potential energy region $U (x)$ . Motion of the particle is restricted to the region when :

The correct option is C $U (x) \leq E$

Total energy of the particle: Kinetic energy + Potential Energy
$\Rightarrow E = K E + U (x)$
$\Rightarrow K E = E - U (x)$

For a moving particle the kinetic energy must be positive i.e $K E > 0$
$U (x) \leq E$

Hence, the correct option is $C$