@HrishabhNayal Since, there are repeated roots: the roots can be $r, r\omega, r\omega^2,r\omega, r\omega^2$ or $r, r\omega, r\omega^2,r,r$ (since the two roots left have to be conjugate to each other)
So we get r=2 using $\displaystyle{\prod \alpha =32}$
Let $f $ be a real-valued differentiable function defined on the real line R such that its derivative $f'$ is zero at exactly two distinct real numbers α and β. Then, (A) α and β are points of local maxima of the function f. (B) α and β are points of local minima of the function f. (C) one must be a point of local maximum and the other must be a point of local minimum of f. (D) given data is insufficient to conclude about either of them being local extrema points.
I thought the answer was C, but some answer key says it's D. Can someone explain why?
The field effects of inner charge is cancelled by inner induced charge to make stable config. and so net potential is due to outer induced charge only!
@Safdar I didn't know that, interesting. You know the cylinder-wedge numeric type Q in paper 2 was from SS Krotov, which is basically a collection of moscow physics olympiad questions.
@Safdar yep it's a rar file. You'll need to unrar it on a computer
Oh yeah ive encountered this when I had a mac. I changed my archive manager to 'the unarchiver' as a result (I think you can get it on mac app store). For a short term fix, use an online unarchiving site
