A conducting sphere of radius R is cut into two equal halves which are held pressed together by a stiff spring inside the sphere. (a) Find the change in tension in the spring if the sphere is given a charge Q. (b) Find the change in tension in the spring corresponding to the maximum charge that can be placed on the sphere if dielectric breakdown strength of air surrounding the sphere is ` E_0`.
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A vertical spring-mass system with lower end of spring is fixed, made to undergo small oscillations. If the spring is stretched by `25cm`, energy stor
Correct Answer - `(16)/(10pi^(2)) = 0.16 Kg` `(1)/(2)Kx^(2) = 5` `(1)/(2) k xx ((25)/(100))^(2) = 5` `k = 160` `omega = 10pi = sqrt((K)/(m))` `m = (K)/(100pi^(2))` `m = (160)/(100pi^(2)) =...
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A solid non conducting sphere of radius R and uniform volume charge density `rho` has its centre at origin. Find out electric field intensity in vecto
(i) At `(R//2, 0, 0)` : Distance of point from centre `=sqrt((R//2)^(2)+0^(2)+0^(2))=R//2 lt R`, so point lies inside the sphere, so `vec(E)=(p vec(r))/(3 epsi_(0))=rho/(3 epsi_(0)) [R/2 hat(i)]` (ii) At `(R/sqrt(2),...
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A solid non conducting sphere of radius R and uniform volume density `rho` has centre at origin. Find out electric field intensity in vector form at f
For uniformly charged non-conducting sphere, electric field inside the sphere : `vec(E)=k (Qvec(r))/R^(3)=(rho vec(r))/(3 epsi_(0)) ("for "r lt R)` and electric field outside the sphere `vec(E)_(0) =(KQ)/r^(2). hat(r) =1/(4piepsi_(0)). (rho...
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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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Watert from a tap maintained at a potential of V is alllowed to fall by drops of radius r through a small hole into a hollow conducting sphere of radi
Correct Answer - `(R^(2))/(r^(2))V`
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Correct Answer - 36 kV, 3kV, 6kV
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A glass sphere with `10 cm` radius has a `5 cm` radius spherical hole at its centre. A narraow beam of parallel light is directed into the sphere. Whe
Correct Answer - 5 cm of the left of the surface of sphere
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A convergent lens with a focal length of f = 10 cm is cut into two halves that are then moved apart to a distance of d =0.5 mm (a double lens). Find t
Correct Answer - [0.1 mm]
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A lens of diameter `5.0cm` and focal length `f = 25.0 cm` was cut along the diameter into two identical halves. In the process, the layer of the lens
Correct Answer - `[1.5 xx 10^(-4)m,13]`
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…………….. divides India into nearly two equal halves
A) Tropic of Cancer
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