A uniformly charged sphere has charge Q. An electron (charge – e, mass m) revolves around it in a circular orbit of radius r. (a) Write the total energy (i.e., sum of its kinetic energy and electrostatic potential energy in the field of the sphere) of the electron. (b) If the time period of revolution of the electron in circular orbit of radius r is T, then find the time period if the orbital radius is made 4r.
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An electron of mass m and charge -e moves in circular orbit of radius r round the nucleus of charge +Ze in unielectron system. In CGS system the poten
Correct Answer - B (b) Potential energy = work done ` = int_(oo)^(r)-(Ze^(2) dr)/(r^(2))=-(Ze^(2))/(r)`
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A point charge `q_(0)` is placed at the centre of uniformly charges ring of total charge Q and radius R. If the point charge is slightly displaced wit
Only electric force is acting on `q_(0)` `:. W_(el)=DeltaK" "=1/2 mv^(2)-0" "implies" "`Now `W_(el)")"_(c rarr oo) =q_(0) V_(c) =q_(0) (KQ)/R`. `:. (Kq_(0)Q)/R=1/2 mv^(2)" "implies" "v=sqrt((2Kq_(0)Q)/(mR))`
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A uniformly charged sphere has radius R and charge Q on it. A negatively charged particle having mass m and charge – q shoots out of the surface of th
Correct Answer - Yes, `V_(0)` depends on q. `V_(0)=sqrt((2KQq)/(mR))`
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A conducting sphere of radius R carries a charge Q. It is enclosed by another concentric spherical shell of radius 2R. Charge from the inner sphere is
Correct Answer - `-(Q^(2))/(16pi in_(0)R)`
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A solid sphere of radius R has total charge Q. The charge is distributed in spherically symmetric manner in the sphere. The charge density is zero at
Correct Answer - (a). `rho(r)=(Q)/(piR^(4))r` (b) `(Qr_(1)^(2))/(4pi in_(0)R^(4))`
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A `mu` – meson (charge `= – e`, mass`= 208 m_(e)`) moves in a circular orbit around a heavy nucleus having charge `+ 3e`. Find the quantum state n for
Correct Answer - `n = 25`
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A uniformly charged sphere carries a total charge of `2 pi xx10^(-12)` C. Its radius is 5 cm and is placed in vacuum. Determine its surface charge den
Correct Answer - `2xx 10^(-10)Cm ^(2)`
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A hollow metal sphere is charged with `0.4muC` of charge and has a radius of 0.1 find the potential (i) at the surface (ii) inside the sphere (iii) at
Correct Answer - 36 kV, 3kV, 6kV
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A uniformly charged sphere has a total charge of `300muC` and radius of 8 cm. find the electric field (i) at a point 16 cm from the centre of the sphe
Correct Answer - `1.05xx10^(8)NC^(-1),1.17xx10^(8)NC^(-1)`, zero
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A particle of mass `m` and charge `-q` moves along a diameter of a uniformly charged sphere of radius `R ` and carrying a total charge ` +Q`. Find the
Correct Answer - `[(1)/(2pi) sqrt((qQ)/(4 pi in_(0)mR^(3)))]`
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