2. 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 l, total mass be m and the acceleration due to gravity be g. After initial phase (say a mintue or so), the (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: rope has (BLANK-1)_ wave, which is (BLANK-4) (BLANK-5). (A) BLANK-1: travelling, oscillating, stationary,regular (B) BLANK-2dransverse, longitudinal, regular, irregular (C) BLANK-3:ransverse, longitudinal regular, irregular (D) BLANK-4:equal to, half, double, independent from (E) BLANK-5: qrt (g/T, sqrt ( mg ), sqrt ( m gl ), sqrt ( 1/ g )
2. 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 l, total mass be m and the acceleration due to gravity be g. After initial phase (say a mintue or so), the (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: rope has (BLANK-1)_ wave, which is (BLANK-4) (BLANK-5). (A) BLANK-1: travelling, oscillating, stationary,regular (B) BLANK-2dransverse, longitudinal, regular, irregular (C) BLANK-3:ransverse, longitudinal regular, irregular (D) BLANK-4:equal to, half, double, independent from (E) BLANK-5: qrt (g/T, sqrt ( mg ), sqrt ( m gl ), sqrt ( 1/ g )
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