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 is placed in a uniform electric field of strength `E` directed vertically upwards. With what period will pendulum oscillate if the electrostatic force acting on the sphere is less than the gravitational force ?
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A simple pendulum has a bob of mass m which carries a charge q on it. Length of the pendulum is L. There is a uniform electric field E in the region.
Correct Answer - (i) `T=2pisqrt((L)/(2g))` (ii). `T=2pisqrt((L)/(g))` (iii). `T=2pisqrt((L)/(sqrt(2)g))` (iv). `T=2pisqrt((L)/(g))`
2 Answers 3 views
A Sphere of radius `R_0` carries a volume charge density proportional to the distance (x) from the origin, `rho=alphax` where `alpha` is a positive co
Correct Answer - (a). `pialphaR_(0)^(4)` (b). `(R_(0))/((2)^(1//4))`
2 Answers 1 views
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 simple pendulum of length `l` has a bob of mass `m` , with a charge `q` on it. A vertical sheet of charge , with the vertical . Its time period of o
Correct Answer - (a). `sqrt(4gL)` (b). `sqrt(4.5gL)`
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
An insulated sphere of radius 10 cm has a positive charge of 20 nC and another of radius 5 cm has a positive charge of 15 nC. If the two are connected
Correct Answer - A charge of `3.33muC` will flow from 5-cm sphere to 10-cm sphere, 2100V,
2 Answers 1 views
A small brass having a positive charge of `1.7xx10^(-8)` C is made to touch another sphere of the same radius having a negative charge of `3.0xx10^(-9
Correct Answer - `1.1 xx 10^(-5)N;0.367 xx 10 ^(-5)N`
2 Answers 3 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
Consider three identical metal spheres ` A, B` and `C`. Sphere `A` carries charge ` + 6q`, sphere `B` carries charge `-3q` and sphere `C` carries no c
Correct Answer - `2.25q`
2 Answers 4 views
If the tip of the pendulum of a clock travels 13.2cm in one collection and the length of the pendulum is 6.3 cm, then the angle made by the pendulum i
Correct Answer - `(pi^(c))/(3)`
2 Answers 10 views