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Suppose you create a pulse by moving the free end of a taut string up and down once with your hand beginning at t = 0. The string is attached at its other end to a distant wall. The pulse reaches the wall at time t. Which of the following actions, taken by itself, decreases the time interval required for the pulse to reach the wall? More than one choice may be correct. (a) moving your hand more quickly, but still only up and down once by the same amount (b) moving your hand more slowly, but still only up and down once by the same amount (c) moving your hand a greater distance up and down in the same amount of time (d) moving your hand a lesser distance up and down in the same amount of time (e) using a heavier string of the same length and under the same tension (f) using a lighter string of the same length and under the same tension (g) using a string of the same linear mass density but under decreased tension (h) using a string of the same linear mass density but under increased tension
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Chapter 13 Solutions
Principles of Physics: A Calculus-Based Text
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- If the distribution of mass on a string is uniform, which of the following statements is correct for a transverse pulse traveling down a horizontal string?a.The tension is variable at each point of the string.b.Linear mass density is a function of position on the string.c.None is correct.d.The transverse velocity of the particles is constant.e.The acceleration of the pulse is zero. Explain Whyarrow_forwardTwo identical sinusoidal waves with wavelengths of 1.5 m travel in the same direction at a speed of 20 m/s. If the two waves originate from the same starting point, but with time delay ∆t between them, and with resultant amplitude A_resultant = √3 A then ∆t will be equal to: 0.00625 sec 0.0125 sec 0.025 sec 0.01 sec 0.005 secarrow_forwardIn a first harmonic standing wave with fixed ends, the speed of sound in air is 340 m s–1, the length of the string is 1.60m and the speed of the wave on the string is 240 m s–1. Calculate the wavelength of the sound in air when the string is oscillating at its fundamental frequency.arrow_forward
- A string of length L, mass per unit length m, and tension T is vibrating at its fundamental frequency. (a) If the length of the string is doubled, with all other factors held constant, what is the effect on the fundamental frequency? It becomes four times larger.It becomes two times larger. It becomes √2 times larger.It is unchanged.It becomes 1/√2 times as large.It becomes one-half as large.It becomes one-fourth as large. (b) If the mass per unit length is doubled, with all other factors held constant, what is the effect on the fundamental frequency? It becomes four times larger.It becomes two times larger. It becomes √2 times larger.It is unchanged.It becomes 1/√2 times as large.It becomes one-half as large.It becomes one-fourth as large. (c) If the tension is doubled, with all other factors held constant, what is the effect on the fundamental frequency? It becomes four times larger.It becomes two times larger. It becomes √2 times larger.It is unchanged.It becomes 1/√2 times…arrow_forwardConsider the wave function y(x, t) = (3.00 cm)sin(0.4 m−1 x + 2.00 s−1 t + π/10) .What are the period, wavelength, speed, and initial phase shift of the wave modeled by the wave function?arrow_forwardA copper wire has a radius of 200 μm and a length of 5.0 m. The wire is placed under a tension of 3000 N and the wire stretches by a small amount. The wire is plucked and a pulse travels down the wire. What is the propagation speed of the pulse? (Assume the temperature does not change:(ρ = 8.96 g/cm3, Y = 1.1 × 1011 N/m.)arrow_forward
- A standing wave on a stretched string with a tension force F_T and of length L = 2 m has the following equation: y(x,t) = 0.1 sin(2πx) cos(100πt). How many loops would appear on the string if the velocity is reduced by a factor of 3 while the frequency is held constant?arrow_forwardA series of pulses, each of amplitude 0.150 m, are sent down a string that is attached to a post at one end. The pulses are reflected at the post and travel back along the string without loss of amplitude. When two waves are present on the same string, the net displacement of a particular element of the string is the sum of the displacements of the individual waves at that point. What is the net displacement of an element at a point on the string where two pulses are crossing (a) if the string is rigidly attached to the post and (b) if the end at which reflection occurs is free to slide up and down?arrow_forwardBy what factor would you have to multiply the tension in a stretched string so as to double the wave speed? Assume the string does not stretch. (a) a factor of 8 (b) a factor of 4 (c) a factor of 2 (d) a factor of 0.5 (e) You could not change the speed by a predictable factor by changing the tension.arrow_forward
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