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Q.

A particle of mass m carrying a positive charge q moves simple harmonically along the x-axis under the action of a varying electric field E directed along the x-axis. The motion of the particle is confined between x=0 and x=2ℓ. The angular frequency of the motion is ω. Then which of the following is correct?

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a

Electric field right of x=l is towards left and to the left of x=l is towards right

b

Electric field right of x=l is towards right and to the left of x=l is towards left

c

Electric field to the right of origin is directed along the positive x-axis for all values of x

d

Electric field to the right of origin is directed along the negative x-axis for all values of x.

answer is A.

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Detailed Solution

Mean position: x=lF=−k(x−1) where k=mω2or qE=−mω2(x−l) At x=l, E=0To the right of x=l, is negative, so toward left and to the left of x=l,is positive.

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A particle of mass m carrying a positive charge q moves simple harmonically along the x-axis under the action of a varying electric field E directed along the x-axis. The motion of the particle is confined between x=0 and x=2ℓ. The angular frequency of the motion is ω. Then which of the following is correct?