sum of fifth powers


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Power of a Lens
Power of a Lens - Whenever a ray of light passes through a lens (except when it passes through the optical center) it bends. The bending of light rays towards the principal axis is called convergence and bending of light rays away from the principal axis is called divergence. The degree o..
Source of Electricity
dry cells Electrons in different metals can have different energies. If two of these metals are placed in a conducting liquid (electrolyte) a difference in electrical potential is set up between them. A pair of different metals arranged in this way is an electrochemical cell. It converts chemical energy to e..
Special cases
Case (i) when m 1 = m 2 , i.e., when both the colliding bodies are of the same mass. The velocity of body A after collision, is equal to the velocity of body B before the collision. From equation (v), The velocity of body B after collision, is equal to the velocity of body A b..
At the position C
When the body is at position C, its height above the ground may be regarded as zero. Therefore, potential energy of the body = 0. If v c is the velocity with which the body touches the ground, then v c 2 - 0 = 2gh v c 2 = 2gh Total energy of the body = mgh F..
Electricity Summary
>When the resistances are connected in parallel the reciprocal of the equivalent resistance is equal to the sum of the reciprocals of the individual resistances. The amount of heat generated in a conductor of resistance 'R', when current 'I' flows through it in a given time 't', is given ..
Thin Lenses Placed in Contact
.e., for an object O placed at a distance u from it, the image I must be formed at a distance v. Such a lens is called an equivalent lens and its focal length is called the equivalent focal length. Writing the lens equation in this case, we get Comparing equations (iii) and (iv) we get He..
Conclusion
The rate of a reaction is measured in terms of change in concentration of a reactant or a product with time. Rate of a reaction is measured by following the concentration changes either by chemical analysis or by observing some other property such as color and optical rotation. The rate of a reacti..
Summary
Electric potential is the condition that determines the flow of charge. Electrical potential at a point in an electric field is defined as the amount of work done in bringing a unit of positive charge from infinity to that point. Electrical potential is a scalar quantity. The potential diff..
CALCULUS
Limits- operations on functions Continuity of a function Intermediate value, extreme value theorem Derivatives, differentiability Derivatives of functions Chain rule Rolle's theorem, mean value theorem, and L'Hopital's rule Maxima, minima, inflection points, intervals Newton's method (app..
Summary (Contd…)
magnifying power of astronomical telescope Where u and v are distances of object and image from optical centre of objective lens, f e is focal length of eye lens. An astronomical telescope is used for observing heavenly bodies like stars and planets etc. The objective lens forms a real, inverted and smaller image of distant object..
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