twice the diameter twice the tension and twice the density of string B The overtone of A that will be in unison with fundamental frequency of Bis 1 4th 23rd 3 1st 4 2nd 39 A uniform rope having mass hangs vertically from rigid support A transverse wave pulse is produced at the lower end The frequency of wave pulse varies with x from the lower ends as ww 2 Ja Le T R 2 1 JB 4 Ja 1 40 The first overtone of an open organ pipe has frequency f The second overtone of a closed organ pipe of the same length will have frequency neglect end corrections 5f 2 5f 4 v Jgn J v gn 3f 2 3f 4 41 The equation of stationary wave is y 10 cos TX sin 100 where x is in cm and 10 tis in s The wave is formed on a string of length 40 cm An antinode will be located at from the following options F 2 4 He 2 x 25 cm 3 x 20 cm 4 x 12 5 cm 42 A motor cycle starts from rest and accelerates along straight path with an acceleration of 4 m s away from a stationary electric siren How far the motor cycle must have travelled when the rider hears the frequency of siren at 90 of its value when motor cycle was at rest speed of sound 330 m s 1 136 m 2 156 m 3 76 m 4 196 m To 43 The equation of a travelling wave on 2 string moving in positive x direction is given by y Asin ot kx It is reflected from a rigid boundary at x 0 The equation of rellected wave is y CE 1 Asin of kx 2 Asin cot kx 3 Asin of kx 4 Acos ot kx 44 The velocity time v t graph of a particle executing S H M is shown below The acceleration of the 5 3 particle at t s will be V 5 cm s 3 cm s 1 2 3 5 3 2 5K 3 2 5 0 cm s 2 av v r 4 F v cm s cm s 3 76 6 J 4 Zero 45 Which of the following quantity is always negative in SHM2 Symbols have usual meanings Fr cos 90 O 9 Costo 20 t s vtu 330 330 1 5 tamax 1