CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

KE & PE Graph

If the total ...

Question

If the total energy of the particle is $E$ , it will perform periodic motion only if

A

E < 0

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

E > 0

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

V_{0} > E > 0

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

D

E > V_{0}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $V_{0} > E > 0$
For periodic motion in the given potential the total energy should be less than the maximum potential energy that is $E < V_{0}$ . But also since it is energy of a particle it should be more than zero $E > 0$ . Therefore, option C.

Suggest Corrections

thumbs-up

0

Similar questions

Q. When a particle of mass m moves on the x-axis in a potential of the form

V (x) = k x^{2}

. It performs simple harmonic motion. The corresponding time period is proportional to

\sqrt{\frac{m}{k}}

, as can be seen easily using dimensional analysis. However, the motion of a particle can be periodic even when its potential energy increases on both sides of

x = 0

in a way different from

k x^{2}

and its total energy is such that the particle does not escape to infinitely. Consider a particle of mass m moving on the x-axis. Its potential energy is

V (x) = α x^{4} (α > 0)

| x |

near the origin and becomes a constant equal to

V_{0}

| x | \geq X_{0}

(see figure).
If the total energy of the particle is E, it will perform periodic motion only if.

Q. The potential energy of a particle of mass ‘m’ is given by U =

\frac{1}{2} k x^{2}

for x < 0 and U = 0 for

x \geq 0

. If total
mechanical energy of the particle is E. Then its speed for positive value of ‘x’ is

Q. A radiation of energy

E (E > E_{0})

falls on a metal whose threshold frequency is

E_{0}

. The Kinetic energy of the emitted electrons is given by:

Q. Energy of the resonance hybrid of nitrobenzene is

E_{0} k J / m o l

and nitrobenzene has the following resonating structures with their energies given below:

Resonating structure	Energy
	$E_{1}$
	$E_{2}$
	$E_{3}$
	$E_{4}$
	$E_{5}$

The correct representation of the resonance energy would be:

Q. A radiation of energy

E

falls on a metal whose threshold energy is

E_{0}

. Then, the kinetic energy is given as:

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Energy in SHM

PHYSICS

Watch in App

explore_more_icon

Explore more

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon