I made a formula that gives the equation of the reflected ray if the incident ray is parallel to the PA and it's height and radius of curvature of concave mirror are given
I was trying to prove that during reflection from a concave mirror, all rays parallel to the principal axis will meet the principal axis at a point (focus) that is equidistant from the centre of curvature and the pole.
I thought of proving this using coordinate geometry (and some trigonometry). I...
Now, this question looks simple, it did to me too, at first, but I got stuck at a point and can't get out.
This is how I did it, take a look :
$$\dfrac{a^{n+1}+b^{n+1}}{a^n+b^n}=\dfrac{a+b}{2}$$
By cross multiplication, we get :
$$2a^{n+1}+2b^{n+1}=(a+b)(a^n+b^n) = a^{n+1}+b^{n+1}+ab^n+a^nb$$
...
I am currently doing calculus for Physics and electric field and potential from 12th, acids and bases revision from 10th in Chem and trigonometric equations, class 11 in Maths
Well, do you know the definition of voltage? The work done by an external agent in bringing a unit charge from infinity to that point without any acceleration, right?