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In a uniformly charged dielectric sphere, a very thin tunnel has been made along the diameter as shown in figure. A charge partivel -q having mass m is released from rest at one end of the tunnel. For the situation described, mark the correct statement(s), (negalect gravity). |
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Answer» Charge particle will perform SHM about center of the SPHERE as mean position. At a center, the FORCE experienced by the charge particle is zero, so it is a position of equilibrium. As we displace the charge so it is a position of equilibrium. As we displace the chare from the equilibrium position, electric force starts acting on it toward equilibrium position and hence equilibrium is a stable one. At a distance `x` from the center of sphere (equilibrium position), force experienced by the charge particle is `F=(qQx)/(4piepsilon_(0)R^(3))` [for `xltR`] As `F=x`, it performs `SHM` about the center. Time period can be calculated by using `F=mw^(2)x`. |
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