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We know that electric field (E ) at any point in space can be calculated using the relation `vecE = - (deltaV)/(deltax)hati - (deltaV)/(deltay)hatj - (deltaV)/(deltaz)hatk` if we know the variation of potential (V) at that point. Now let the electric potential in volt along the x-axis vary as `V = 2x^2`, where x is in meter. Its variation is as shown in figure Will the particle perform a simple harmonic motion? Also, find the time period of its oscillations.A. Yes, time period `= 2pis`.B. No, time period `= 2pis`C. Yes, time period `= 4pis`.D. The particle will perform SHM, but time period cannot be found from the given data. |
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Answer» Correct Answer - A `F=-10^(-5)x` `ma=-10^(-5)x` or `10xx10^(-6)a=-10^(-5)x` or `a=-x` `omega^(2)=1,omega=1rad. T=(2pi)/(omega)=(2pi)/(1)=2pis` |
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