MHT CET202020 Oct 2020Evening ShiftPhysicsCurrent ElectricityActual
In an atom, electron of charge (-e) performs U.C.M. around a stationary positively charged nucleus, with period of revolution 'T'. If 'r' is the radius of the orbit of the electron and ' v ^ is the orbital velocity, then the circulating current (I) is proportional to
Options
- Ae ¹ r ⁻¹ v ⁻¹
- Be ¹ r ¹ ~V ⁻¹
- Ce ¹ ~V ¹ r ⁻¹
- Dv ¹ r ¹ e ⁻¹
Correct answer
C. e ¹ ~V ¹ r ⁻¹
Step-by-step solution
In an atom, electron of charge (-e) perform U.C.M. around a stationary positively charged nucleus, with period of revolution 'T' . If ' r^ is the radius of the orbit of the electron and ' v ' is the orbital velocity, then the circulating current (I) is proportional to e ^ 1 v ^ 1 r ^ -1 . 2 r T =v I = e T = ev 2 r = e ¹ v ¹ r ⁻¹ 1 2 I e¹ v¹ r⁻¹