An electron rotates in a circle around a nucleus having positive charge Ze. Correct relation between total energy (E) of electron to its potential energy (U) is:
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An electron rotates in a circle around a nucleus having positive charge Ze. Correct relation between total energy (E) of electron to its potential energy (U) is:

G1 Physics · Accepted Answer

For a circular orbit: mv²/r = k(Ze)(e)/r² Therefore: K = ½mv² = k(Ze)(e)/(2r) Potential energy: U = -k(Ze)(e)/r Total energy: E = K + U = k(Ze)(e)/(2r) - k(Ze)(e)/r = -k(Ze)(e)/(2r) Thus: E = U/2 or: 2E = U