use the method of dimentions to express the period p of simple penulum in a resisting medium in terms of the length, mass, resistantce forace and gracity where k is a dimentional less constant. P=Klmrg

Q.1 (20 pts.): Use the method of dimensions to express the period P of a simple pendulum in a resisting medium in terms of the length, mass, resistive force and gravity (I, m, R and g respectively), i.e., where K is a dimensionless constant. P = Klamb Regd, where K is a dimensionless constant. Q.2 (15 pts.): Establish the results (2.8) and (2.9) for the integral 1 = coskn dx, where 1 = xsino - cx3 92 COSO. In terms of the following changes of variable; 27 2kercox 0 (20) and (2:7) the above integral may be written in the canonical form (2.8) This is Airy's rainbow integral, first published in his paper entitled "On the Intensity of Ligh In the neighbourhood of a Caustic" (21]. The significance of the parameter m can be noted by eliminating , from Ege (26) and (2.7) to obtain (29)