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 frequency of S.H.M. of the particle if the amplitude does not exceed `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))`
2 Answers 1 views
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 ener
Correct Answer - (a). `-(Qe)/(8pi in_(0)r)` (b). 8T
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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))`
2 Answers 1 views
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 ring of radius R carries a charge q uniformly distribited over it. A long thin wire carrying charge `lambda`per unit length of it is held along its
Correct Answer - `F=(dlambda)/(4piepsilon_(0)R)`
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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
2 Answers 2 views
A very long uniformly charged thread oriented along the axis of a a circle of radius `R` rests on its centre with one of the ends. The charge of the t
Correct Answer - `[|phi| = (1)/(2)lambdaR//epsi_(0)`. The sign of `Phi` depends on how the direction of the normal to the circle is chosen. ]
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An object of mass 50 g moves uniformly along a circular orbit with an angular speed of 5 rad/s. If the linear speed of the particle is 25 m/s
Given: ω = 5 rad/s, v = 25 m/s, m = 50 g = 0.05 kg To find: radius (r), centipetal force (F) Formula: (i) v = ωr (ii) F = \(\frac{mv^2}{r}\) Calculation: From formula (i), r...
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