A thin fixed of radius 1 metre has a positive charge `1xx10^-5` coulomb uniformly distributed over it. A particle of mass 0.9 gm and having a negative charge of `1xx10^-6` coulomb is placed on the axis at a distance of 1cm from the centre of the ring. Show that the motion of the negatively charged particle is approaximately simple harmonic. Calculate the time period of oscillations.A. `0.23s`B. `0.39s`C. `0.49s`D. `0.63s`

A thin fixed of radius 1 metre has a positive charge `1xx10^-5` coulom

1.	A thin fixed of radius 1 metre has a positive charge `1xx10^-5` coulomb uniformly distributed over it. A particle of mass 0.9 gm and having a negative charge of `1xx10^-6` coulomb is placed on the axis at a distance of 1cm from the centre of the ring. Show that the motion of the negatively charged particle is approaximately simple harmonic. Calculate the time period of oscillations.A. `0.23s`B. `0.39s`C. `0.49s`D. `0.63s`
Answer» Correct Answer - 4 `E=(1)/(4piepsilon_(0))(qx)/((a^(2)+x^(2))^(3//2))=(qx)/(4piepsilon_(0)a^(3))` `:. m=(d^(2)x)/(dt^(2))=-(1)/(4piepsilon_(0))(qex)/(a^(3))` SO motion is `S.H.M` `omega^(2)=(1)/(4piepsilon_(0))(qe)/(ma^(3))`

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