Question

1. A cord of mass 0.65 kg is stretched between two supports 8.0 m apart. If the tension in the cord is 140 N, how long will it take a pulse to travel from one support to the other?

2. A 50.0 Kg ball hangs from a steel wire 1.00 mm in diameter and 6.00 m long. What would be the speed of a wave in the steel wire?

3. The intensity of an earthquake wave passing through the earth is measured to be 3.0 x 106 J/m2 .s at a distance of 48 km from the source.

(a) What was its intensity when it passed a point only 1.0 Km from the source?

(b) At what rate did energy pass through an area of 2.0 m2 at 1.0 km?

4. If a cord is under a tension of 125 N and has mass per unit length 0.10 kg/m, what power is required to transmit 120 Hz transverse waves of amplitude 2.0 cm?

5. A 524 Hz longitudinal wave in air has a speed of 345 m/s.

(a) What is the wavelength?

(b) How much time is required for the phase to change by 900 at a given point in space?

(c) At a particular instant, what is the phase difference (in degrees) between two points 4.4 cm apart?

6. The velocity of waves on a string is 96 m/s. If the frequency of standing waves is 445 Hz, how far apart are the two adjacent nodes?

7. A guitar string is 90.0 cm long and has a mass of 3.16 g. From the bridge to the support post is 60.0 cm and the string is under a tension of 520 N. What are the frequencies of the fundamental and the first two overtones?

8. A 65 cm guitar string is fixed at both ends. In the frequency range between 1.0 and 2.0 KHz, the string is found to resonate only at frequencies 1.2, 1.5 and 1.8 kHz. What is the speed of travelling waves on this string?

9. A particular violin string plays at a frequency of 294 Hz. If the tension is increased 15%, what will the new frequency be?

10. The amplitude, angular frequency, and wave number of a transverse traveling wave are 4.00 m, 12.0 rad/s, and 4.00 rad/m, respectively. At what speed does it transfer energy from place to place?

11. Find the speed of the wave-function y(x,t) = 2/(x -3t^2) + 1

12. A microphone is placed at a distance of 3.40 m on the perpendicular bisector of a line joining two speakers that are separated by 3.00 m. By what distance should the microphone be moved parallel to the speakers so that the next maximum is heard? The frequency of sound produced by the speakers is 455 Hz.

Answer #1

Please upload remaining questions separately for the answers. Thank You:)

A cord of mass 0.65 kg is stretched between two supports 8.0 m
apart. If the tension in the cord is 140N, how long will it take a
pulse to travel from one support to the other?

Two identical guitar strings are stretched with the same tension
between supports that are not the same distance apart. The
fundamental frequency of the higher-pitched string is 360Hz, and
the speed of transverse waves in both wires is 150 m/s. How much
longer is the lower-pitched string if the beat frequency is
4Hz?

A guitar string with a linear density of 2.0 g/m is
stretched between supports that are 60 cm apart. The string is
observed to form a standing wave with three antinodes when driven
at a frequency of 420 Hz. What are (a) the frequency of the fifth
harmonic of this string and (b) the tension in the string?

A particular guitar string has a mass of 3.0 grams and a length
of 0.75 m. when it is stretched, it produces a transverse wave of
frequency 1200 Hz and wavelength 2/3 of the length of the string.
(i) What is the speed of the transverse wave on the string? (ii)
What is the tension of the string?

A guitar string of length 72.8 cm (which might be out of tune)
has been plucked and is producing a note of frequency 334 Hz. (a)
What is the speed of transverse traveling waves on this guitar
string? Give your answer in m/s. HINT: The note you hear is
produced by the vibrational mode of the string which has the
fundamental (lowest possible) frequency. Draw a picture of the
string vibrating in that mode and determine the wavelength of the...

Two small speakers are separated by a distance of 4 cm, as
shown. The speakers are driven in phase with a sine wave signal of
frequency 10 kHz. A small microphone is placed a distance 1.1 m
away from the speakers on the axis running through the middle of
the two speakers, and the microphone is then moved perpendicular to
the axis. Where does the microphone record the first minimum of the
interference pattern from the speakers as measured from...

A stretched string is 1.91 m long and has a mass of 20.9 g. When
the string oscillates at 440 Hz , which is the frequency of the
standard A pitch, transverse waves with a wavelength of 16.7 cm
travel along the string. Calculate the tension ? in the string.

A nylon guitar string has a linear density of 9.3 g/m and is
under a tension of 151 N. The fixed supports are distance D = 98 cm
apart. The string is oscillating in the standing wave pattern shown
in the following figure. Calculate the frequency of the traveling
waves for this standing wave.

A block of mass m attached to a spring with spring constant k
oscillates horizontally on a friction less table. Its velocity is
20 cm/s when x = -5 cm. Taking m = 100 gm, and spring constant =
2.5 N/m,
a) Find out the equations of position, velocity, and
acceleration of the ball. Find also the total energy of the block
when its velocity was 20 cm/s.
b) Oscillating particles generate waves. What will be the
equation of a...

With what tension must a rope with length 2.70 m and mass 0.170
kg be stretched for transverse waves of frequency 43.0 Hz to have a
wavelength of 0.810 m ?

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