Question

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 ____________.

Options

• e¹ r^-1 v^-1

• e¹ v¹ r^-1

• v¹ r¹ e^-1

• e¹ r¹ v^-1

Answer 1

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 e¹ v¹ r^-1.

Explanation:

`(2pi"r")/"T" = "v"`

`"I" = "e"/"T" = "ev"/(2pi"r") = "e"^1 "v"^1 "r"^-1  1/2pi`

`"I" prop "e"^1 "v"^1 "r"^-1`