A string of length L=0.420m is fixed at both ends. The speed of transverse waves on the string is v=378. m/s. 2. a.) For standing waves on this string what are the frequencies of the 1" through 4th harmonics? b.) For standing waves on this string what are the wavelengths of the 1st through 4 harmonics? c) Sketch the envelope of oscillation for the 4 harmonic only. Mark nodes with the letter "N".
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- Assume that your eye acts as a diffraction limited telescope with a round primary aperture of diameter D = 4.50 mm . Two lights are arranged to be perpendicular to your line 1. 20.0cm (assuming Rayleigh's criterion): of sight with a separation of s = If the lights emit at 1, = 630 nm what is the furthest distance that we will see them as two а. separate lights, d? b. If the lights emit at 1, = 440 nm what is the furthest distance that we will see them as two separate lights, d;?A violin string of length L=31.8 cm and linear mass density µ=0.64gm/is tuned to play an A4 note at 440.0 Hz. This means that the string is in its mode of oscillation fundamental, that is, it will be on that note without placing any fingers on it. From this information, A. Calculate the tension in the string that will keep it in tune. B. If the midpoint of the string is observed to have a maximum transverse motion of 2.59 mm when in the fundamental mode, what is the maximum speed vy máx of the antinode of the string? C. If the string tension is reduced by 6.3% of the tension found in part A, what is the resulting frequency of the note produced? D. When playing the violin, different notes can be produced depending on the position of the fingers of one hand on the string. The usual technique presses the string hard against the fretboard, reducing the length of the string that can vibrate. If we consider this string initially tuned for an A4, and a finger is placed a third of the way down…I need some help with this question
- A fisherman notices that his boat is moving up and down periodically, owing to waves on the surface of the water. It takes 3.0 ss for the boat to travel from its highest point to its lowest, a total distance of 0.61 mm. The fisherman sees that the wave crests are spaced 7.8 mm apart. 1.How fast are the waves traveling? Express your answer in meters per second. 2.What is the amplitude of each wave? Express your answer in meters. 3.If the total vertical distance traveled by the boat were 0.35 mm, but the other data remained the same, how fast are the waves traveling? Express your answer in meters per second. 4.If the total vertical distance traveled by the boat were 0.35 mm, but the other data remained the same, what is the amplitude of each wave? Express your answer in meters.Select the correct statement in the following choices referring to standing waves on a string.Select one:a. The amplitude of the oscillation remains the same when changing the oscillation frequency.b. The frequency of resonance modes is proportional to the square root of the string's tension.c. The frequency of the standing wave is the same for all resonance modes.d. The frequency of resonance modes is proportional to the string's length.A wave on a string propagates at 21m/s. The frequency is 23 Hz. 1) Calculate the wavelenght. (Express your answer in cm and to two significant figures.) 2)Calculate the angular wave number. (Express your answer to two significant figures.)
- A string on a guitar has a linear mass density of 2.1×10^-3 kg/m and a oscillating length of .62m. It is stretched at a tension of 81.8 N. A.) When the guitar string is plucked, at what speed in meters per second does the pulse travel along the string? B.)Since it produces a tone, what is the fundemental frequency in hertz? C.) When it is properly tuned the fundemental frequency is 146.8 hz. Since this guitar might not be properly tuned, what tension should it be stretched in newtons?A string of length L=1.68 m is attached at both ends. The string is parallel to an x-axis and extends from x=0 to x=L. The speed of waves on this string is v= 285.6m/s. For 3. standing waves: a. What is the wavelength of the fundamental mode (n=1 mode), 4 ? b. Whatis the frequency of the fifth harmonic, f;? c. Draw the envelopes of the string displacement wave function for the first three harmonics and label each node with the letter 'N' and antinode with letter 'A'. Please make three separate drawings. d. For the third harmonic, n=3 , what are the three x values where the transverse speed of the string is a maximum, X, Xm2, X3 compared to other xlocations? e. For this string oscillating in the third harmonic (n=3), with a maximum deviation from equilibrium of 2y. = 0.280 cm at points x= xml,X =Xm2,X= X3 , what is the maximum (positive) transverse speed of the string (speed perpendicular to the direction of the string), Max(u,(xmt)) ?The equation for the displacement of a stationary wave on a string is given by y = 2 (sin 5πt)(cos 6πx), where x and y are in meters, and t is in seconds. Determine: a. wave period! b. the amplitude of the point P which lies at a distance of 75 cm from the end of the reflection! c. the distance between two consecutive stomachs!
- Consider the sinusoidal traveling wave shown in the figure (this is a snapshot at a certain instant of time). Assume the wave travels at 1.0 m/s. a) What is the wave's amplitude? b) What is its wavenumber k? c) What is its angular velocity w? d) What is its period T? e) What is its frequency f?2. A very narrow slit of width a = 2.50µm is illuminated with light of wavelength 1 = 540.0 nm and a diffraction pattern is observed on a screen D=1.25 m from the slit. At the screen, how far from the optical axis, y2 , is the second minimum that appears on а. either side of the central maximum? b. At the screen, how far from the optical axis, ymax is the furthest minimum that appears on either side of the central maximum?The elastic limit of the gold forming a piece of wire is equal to 2.0 x 108 Pa. What is the maximum speed at which transverse wave pulses can propagate along this wire without exceeding this stress? (The density of gold is 1.93 x 104 kg/m³) m/s Submit Answer ASK YOUR TEACH F12 delete retu