Consider a rope fixed at both ends under tension so that it

Last updated: 6/14/2023

Consider a rope fixed at both ends under tension so that it is horizontal i e assume the rope is along x axis with gravity acting along z axis Now the right end is continually oscillated at high frequency v say v 100 Hz horizontally and in a direction along the rope amplitude of oscillation is negligible The oscillation travells along the rope and is reflected at the left end Let the total length of rope be 1 total mass be m and the acceleration due to gravity be g After initial phase say a mintue or so the rope has BLANK 1 wave which is BLANK 2 in nature It results from superposition of left travelling and right travelling BLANK 3 waves This resulting wave has a frequency that of oscillation frequency nu Simple dimensional analysis indicates that the frequency of can be of the form BLANK 5 BLANK 4 A BLANK 1 travelling oscillating stationary regular B BLANK 2 transverse longitudinal regular irregular C BLANK 3 transverse longitudinal regular irregular D BLANK 4 equal to half double independent from E BLANK 5 sqrt g 1 sqrt m g sqrt mgl sqrt 1 g Diwali and Id festivities