In an imaginary electric field, the electric potential energy of an electron at a distance r from the centre of force field is given by U = kr2, where k is a positive constant of appropriate dimensions. If the electron is moving in a circular orbit of radius r about the centre, then the orbital time period of the electron is proportional to:
In an imaginary electric field, the electric potential energy of an electron at a distance r from the centre of force field is given by U = kr2, where k is a positive constant of appropriate dimensions. If the electron is moving in a circular orbit of radius r about the centre, then the orbital time period of the electron is proportional to:
Option 1 -
r³/²
Option 2 -
r
Option 3 -
r¹/²
Option 4 -
r⁰
Asked by Shiksha User
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1 Answer
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Correct Option - 4
Detailed Solution:U = kr² ⇒ F = -dU/dr = -2kr ; 2kr = mv²/r ⇒ v = √ (2k/m) or T = 2πr/v = 2π√ (m/2k)
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