The Casimir effect describes the attraction between two unchanged conducting plates placed parallel to each other in vacuum. The astonishing force ( predicted in 1948 by Hendrik Casimir) per unit area of each plate depends on the planck’s constant (h), speed of light (c) and separation between the plates (r).
(a) Using dimensional analysis prove that the formula for the Casimir force per unit area on the plates is given by `F= k (hc)/(r^(4))` where k is a dimensionless constant
(b) If the force acting on `1xx1` cm plates separated by `1 mu m` is 0.013 dyne, calculate the value of constant k.

Answer

(b) `k=6.5 xx 10^(-3)`