Question
Asked Nov 14, 2019
30 views

In the figure at the right is shown three graphs of the shapes of the same taut elastic string in three different circumstances, labeled A, B, and C. In some of the problems below, the string represents a guitar string, tied down at both ends, while in others, it is part of a very long telephone wire whose ends are not shown. Be careful to note which is which for each problem! The string is light enough that the effects of gravity can be ignored. In each case, the bit of string at the position x = 23 cm is painted blue.

1. Suppose the three graphs all represent the same string, tied down at x = 0 and x = 70 cm, and at the same tension. What can you say about the three frequencies of oscillation?

a. Situation A has the highest frequency.
b. Situation B has the highest frequency.    
c. Situation C has the highest frequency.
d. The three frequencies are all the same.
e. You can’t say anything from the information given.



2. Suppose the three graphs all represent the same string, tied down at x = 0 and x = 70 cm, but their tensions have been adjusted so that all three situations are all oscillating at the same frequency. What can you say about the tensions in the three cases?

a. You can’t adjust the tensions to make the frequencies the same since the wavelengths are different.
b. The tension in string C is the greatest.    
c. The tension is string A is the greatest.
d. All three tensions are the same.
e. You can’t say anything from the information given.



3. Suppose that graph C represents the string, tied down at x = 0 and x = 70 cm, under tension. What can you say about the acceleration of the blue bead in case C at the instant shown?

a. It is upward.
b. It is downward.    
c. It is 0.
d. You can’t say anything from the information given.
A
1
20
50
60
30
centimeters
10
40
70
B
10
20
30
centimeters
40
50
60
70
C
30
10
20
40
50
60
70
centimeters
millimeters
millimeters
millimeters
help_outline

Image Transcriptionclose

A 1 20 50 60 30 centimeters 10 40 70 B 10 20 30 centimeters 40 50 60 70 C 30 10 20 40 50 60 70 centimeters millimeters millimeters millimeters

fullscreen
check_circle

Expert Answer

Step 1

(A) Situation A is a fundamental mode of vibration while situation B and C are second and third harmonic. So the frequency is higher for the situation C. option (B) is correct.

Step 2

(b) if frequency , length and linear density are same for three graphs then the tensions are also directly proportional . so tension in the situation C is greater than other two. As speed is constant frequency is inverse...

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Science

Physics

Wave Motion

Related Physics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: A mechanic pushes a 3.50 ✕ 103-kg car from rest to a speed of v, doing 5,130 J of work in the proces...

A: a)The expression for work is

question_answer

Q: A string is 3 m long and has a mass of 0.001 kg. If we want the fundamental frequency of the string ...

A: Given information:Mass of the string (m) = 0.001 kgFundamental frequency (f) = 175 HzLength of the s...

question_answer

Q: Blood pressure is normally taken on the upper arm at the level of the heart. Suppose, however, that ...

A: Consider x be the height between the calf and the ground and (x + 86.5 cm) is the height of the hear...

question_answer

Q: There is a closed pipe that is 40 cm long. How many audible harmonics are there for this pipe?

A: Given,

question_answer

Q: With a 660 Hz tuning fork you measure a distance of 25 ± 2.00 cm between adjacent nodes. Is the valu...

A: Click to see the answer

question_answer

Q: A 63.0-kg box is pulled by a rope making an angle of  θ = 22.0°  with the horizontal. The tension in...

A: Click to see the answer

question_answer

Q: Consider a spring, with spring constant k, one end of which is attached to a wall. (Figure 1)The spr...

A: The restoring force acting on the spring is

question_answer

Q: 2. A dipole consists of two charges with values of +10-10C, separated by 1 mm a) What is the dipole ...

A: Given:Magnitude of charge, q = 10-10 CDistance between the charge, d = 1 mmMagnetic field, E = 105 V...

question_answer

Q: the two identetical freight cars roll without friction towards each ohter, in oppoite directions, on...

A: According to the conservation of mometnum we know thatmomentum before collision is equal to the mome...