Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Give answer! Two equal negative charge – q are fixed at the fixed points (0,a)and (0.-a) on the Y-axis. A positivecharge Q is released from rest at the point (2a, 0)on the X-axis. The charge Q will

Two equal negative charge – q are fixed at the fixed points (0,a) and (0.-a) on the Y-axis. A positive charge Q is released from rest at the point (2a, 0) on the X-axis. The charge Q will 

  • Option 1)

    Execute simple harmonic motion about the origin

  • Option 2)

    Move to the origin and remain at rest 

  • Option 3)

    Move to infinity

  • Option 4)

    Execute oscillatory but not simple harmonic motion

 

Answers (1)

best_answer

As we learnt,

 

Charged Circular ring -

T=2\pi \sqrt{\frac{4\pi \epsilon _{0}mR^{3}}{Qq}}

- wherein

By symmetry of problem the components of force on Q due to charges at A and B along y-axis will cancel each other while along x-axis will add up and will be along CO. Under the action of this force charge Q will move towards O. If at any time charge Q is at a distance x from O. Net force on charge Q 

F_{net} \Rightarrow 2F\cos\theta = 2\frac{1}{4\pi\epsilon_0}\frac{-qQ}{a^2 + x^2}\times \frac{x}{(a^2 + x^2)^{\frac{1}{2}}} \\*\Rightarrow F_{net} = -\frac{1}{4\pi\epsilon_0}\cdot\frac{2qQx}{(a^2 + x^2)^{\frac{3}{2}}}

As the restoring force Fnet is not linear, motion will be oscillatory (with amplitude 2a) but not simple harmonic.

 


Option 1)

Execute simple harmonic motion about the origin

Option 2)

Move to the origin and remain at rest 

Option 3)

Move to infinity

Option 4)

Execute oscillatory but not simple harmonic motion

Posted by

Plabita

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main 2024 Topper: Farmer’s son Gajare Nilkrishna says ‘keep questioning until you understand’
anam-khan

NIT Puducherry Cut-off 2024: Computer Science and Engineering had highest closing rank last year
anam-khan

What after JEE Main results 2024? All you need to know about JEE Adv, CSAB, JoSAA counselling

Latest Question