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41. let say you want to tune a guitar string to 98 Hz (fundamental frequency) th

ID: 1793765 • Letter: 4

Question

41. let say you want to tune a guitar string to 98 Hz (fundamental frequency) the string used has mass 3 × 10-3 gm , and length say 0.5 m. find out how much tension you have to apply to the string? (a) 80.7 N (b) 77 N (c) 90.8 N (d) none of them 42. If you let a simple pendulum oscillate from 65 and 2 angle from equilibrium (0-0) calculate the time period the ocratically by the formula T 2/(L/9). and measured the time period both cases experimentally, which case the difference between theoretical and experimental will be less? (a) 65 (b) 2 (Hint: What is the condition for SHM?) 43. A section of broken drainage water pipe 2 m in length makes a howling noise when the wind blows across its open ends. determine the frequencies of the third harmonics of the pipe if it is cylindrical in shape and open at both ends. Take 340 m/s as the speed of sound in air (a) 255 Hz (b) 265 (c) 155 Hz (d) none of them

Explanation / Answer

41) Wavelength = 2 • Length = 1.0 m

       Frequency = f = 98 Hz

         speed = frequency • wavelength = 98 m/s

              mass = m = 3*10^-6 kg

             Linear density = m/L = µ = 3*10^-6/0.5 = 6*10^-6 kg/m

Now Tension = T = v^2* µ = 57.6 mN (Option d)

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