Question 1 0.77 pts A certain guitar string has a length of 27.17 in, and the frequency of its third harmonic is supposed to be 588 Hz when it's properly tuned. The linear mass density of the string is about 1 g/m. To what tension (in Newtons) does the string need to be tightened so that it's tuned properly? One meter contains about 39.37 inches. Consider three sound waves A, B, and C with the following frequencies and wave speeds: A: 450 Hz,330m/s B: 440Hz,310m/s C: 600Hz, 343 m/s Rank the wavelength of each sound wave from smallest to largest (smallest on the left and largest on the right). O A B,C O AC,B O B,C,A @ B,A,C Question 3 0.77 pts The A string on a guitar, when properly tuned, should vibrate at 110 Hz in its first harmonic (which is the dominant harmonic you hear when you pluck the string). Suppose two identical guitars with identical strings are tuned properly at first. Later, the tension in the A string of one of the guitars is increased slightly so that when the two A strings are now played simultaneously, a 4 Hz beat can be heard. By what percent was the tension increased? 74 Question 4 0.77 pts Jonah is riding on the elevator in the physics and astronomy building and notices that when the elevator is accelerating upward, he feels heavier than when the elevator is standing still, and when the elevator is accelerating downward he feels lighter than when it's standing still. Jonah knows a bit of theoretical physics, and he's able to convince himself that when the elevator has acceleration a in the vertical direction (positive for upward acceleration and negative for downward acceleration), the physics of any system in the elevator will experience gravity as if the acceleration due to gravity is g + a instead of just g. This explains the phenomenon of feeling heavier and lighter for different accelerations of the elevator. Three pendulum clocks, C1, C2, and C3, whose ticking rates are directly proportional to the rate of oscillations of the pendulum they contain, are put into three different elevators. The length of the pendulum in C2 is half the length of the pendulum in C1, and the length of the pendulum in C3 is three times the length of the pendulum in C2. The rate of ticking of each pendulum clock is measured when each elevator is accelerating. The ticking rate of C2 is 1.5 times the ticking rate of C1, and the ticking rate of C3 is one-third of the ticking rate of C1. Rank the elevators in increasing order of acceleration a (smallest to largest from left to right). 01,23 0132 0231 0213 @ 31,2 0321