Consider three identical metal spheres ` A, B` and `C`. Sphere `A` carries charge ` + 6q`, sphere `B` carries charge `-3q` and sphere `C` carries no charge . Spheres A and B are touched together and then separated. Sphere `C` is then touched to sphere `A` and separated from it . Finally the sphere `C` is touched to sphere `B` and separated from it . Find the final charge on the sphere `C`.
1 Answers
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)`
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))`
2 Answers 1 views
Consider two spheres of the same radius R having uniformly distributed volume charge density of same magnitude but opposite sign `(+rho` and `-rho)` t
Correct Answer - `(rhoR^(3)d)/(3epsi_(0)r^(3))sqrt(3cos^(2)theta+1)`
2 Answers 3 views
A piece of metal is cut from a hollow metal sphere of radius R and is polished on both sides. A boy looks at the metal piece and finds his image 13 cm
Correct Answer - 69.33 cm
2 Answers 1 views
The number of ways of distributing `3` identical physics books and `3` identical methematics books among three students such that each student gets at
Correct Answer - B `(b)` `n(A)=^(3+2-1)C_(2-1)xx^(3+2-1)C_(2-1)=16` `n(B)=n(C )=16` `n(AnnB)=^(3+2-1)C_(1-1)xx^(3+2-1)C_(1-1)` `=1=n(BnnC)=n(AnnC)` `n(AnnBnnC)=0` Required no. of ways `=100-(16+16+16-1-1-1+0)=55`
2 Answers 3 views
Find the capacitance of a system consisting of a metal sphere of radius a placed at a large distance from an identical metallic sphere. [Hint: When th
Correct Answer - `2piepsilon_(0)epsilon_(r)a`
2 Answers 1 views
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)`
2 Answers 1 views
A simple pendulum consists of a small sphere of mass `m` suspended by a thread of length `l`. the sphere carries a positive charge `q`. The pendulum i
Correct Answer - `(T=2pi sqrt((l)/(g-qE//m)))`
2 Answers 1 views
Three identically charged, small spheres each of mass m are suspended from a common point by insulated light strings each of length I. The spheres are
Correct Answer - `[sqrt((3piepsi_(0)mga^(2))/(l))]`
2 Answers 2 views
The radii of cahrged metallic spheres are 5 cm and 10 cm. both have a charge of 75 `muC`. Both the spheres are connected together with a conducting wi
Correct Answer - `24.6muC,9xx10^(6)C`
2 Answers 1 views