Amassless string of length 2l +d is stretched between two fixed points at a tension t. a bead of mass m is attached to the string a distance l from each end of the string (i. e. the two beads are a distance d apart) (a) show that small transverse displacements y1 and y2 of the two beads obey 12 marks] (b) find the normal mode frequencies for this system, and describe physically the corre- 3 marks] sponding motions of the beads.

1. what is the relationship between wavelength and the penetrating power of an electromagnetic wave? a) the penetrating power has no relationship to the wavelength. b) the penetrating power increases as the wavelength increases. c) the penetrating power decreases as the wavelength increases. d) the penetrating power decreases as the wavelength decreases. 2. as ice melts and turns into water, the speed of sound through the material would most likely do what? justify your answer. a) the speed would not change because the material is always water. b) the speed of sound would increase because the density of water is less than that of ice. c) the speed of sound would increase because energy is added to ice in order to make it melt. d) the speed of sound would decrease because sound travels faster through solids than liquids. 3.which of these waves need a medium to travel through? a) sound b) x-rays c) infrared rays d) visible light