ty A rope of mass m and length L also has a mass m attached to its lower end. Th

Question

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A rope of mass m and length L also has a mass m attached to its lower end. The upper end is attached to a sky-hook, so the rope and mass hang freely. If a transverse wave starts at the lower end. what is me speed oi the wave when it gets to the top of the rope? (mg/L) (2mg/L) [(mg)/2L] (gL/2) (gL) (2gL) Two loudspeakers, A and B, are separated by a distance of 2.0 m. The speakers emit sound waves at a frequency of 680 Hz. The speed of sound is 343 m/s. Along the line joining the speakers, how far apart are points of destructive interference caused by superposition of the sound waves? 0.25 m 0.30 m 0.46 m 0.87 m 0.98 m If a tuning fork vibrates at 436 Hz and a violin string vibrates at 446 Hz, Mt vill be the length of time between successive maxima in the intensity of sound heard by the ear? 0.01 s 0.1 s 1 s 10 s 100 s (436/446) s

Explanation / Answer

6) v = sqrt(T/u) = sqrt( 2mg/(M/L)) = sqrt( 2gL)

so F)

7) let x be the distance from A

then PLD = (2-x) -x = 2-2x

destructive when 2-2x = (2m+1) lambda/2

first when lambda/2

2-2x = (343/680)/2
x=0.8739

next when 3 lambda/2
2-2x = 3(343/680)/2
x=0.62169

so distance is 0.8739-0.62169=0.25

so A)

8) beat frequency will be 446-436 = 10 Hz

so T = 1/10 = 0.1 s

so B)

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