a. What are the three longest wavelengths for standing waves

expeditiupc 2021-12-15 Answered
a. What are the three longest wavelengths for standing waves on a 240-cm-long string that is fixed at both ends?
b. If the frequency of the second-largest wavelength is 50.0 Hz, what is the frequency of the third-longest wave length?
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Heather Fulton
Answered 2021-12-16 Author has 31 answers
Step 1
a) The three longest wavelengths for standing waves will therefore correspond to m 1, 2, and 3. Thus
λ1=2(2.40m)1=4.80m
λ2=2(2.40m)2=2.40m
λ3=2(2.40m)3=1.60m
Step 2
b) Because the wave speed on the string is unchanget from one m value to the other,
f2λ2=f3λ3f3=f2λ2λ3=(50.0Hz)(2.40m)1.60=75.0Hz

We have step-by-step solutions for your answer!

xandir307dc
Answered 2021-12-17 Author has 35 answers
Step 1
a) Knowing the formula for the wavelength of a standing wave with fixed nodes at the ends,
λm=2Lm
we can easily get
λ1=2×2401=480m
λ2=2×2402=240cm
λ3=2×2403=160cm
b) We know that the frequency of an m-mode number standing wave is
fm=mf1
Therefore, we have
f3f2=32f3=3f22=75Hz

We have step-by-step solutions for your answer!

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

You might be interested in

asked 2020-11-01
As part of your work out, you lie on your back and push with your feet against a platform attached to two stiff springs arranged side by side so that they are parallel to each other. when u push the platform, you compress the springs. You do 80.0G of work when u compress the springs 0.200m from their uncompressed length.
a) What magnitude of force must u apply to hold the platform in this position?
b) How much additional work must you do to move the platform 0.200m farther, and what maximum force must you apply?
asked 2021-02-12
The mechanics at lincoln automotive are reboring a 6-in deepcylinder to fit a new piston. The machine they are usingincreases the cylinder's radius one-thousandth of an inch every 3min. How rapidly is the cylinder volume increasing when thebore(diameter) is 3.800 in
asked 2021-03-06
A 30.0 kg block is resting on a flat horizontal table. On topof this block is resting a 15.0 kg block, to which a horizontal spring is attached. The spring constant of the spring is 325 N/m. The coefficient of kinetic friction between the lower block and the table is 0.600, and the coefficient of static friction between the two blocks is 0.900. A horizontal force is applied to the lower block. This force is increasing in such a way as to keep the blocks moving at a constant speed. At the point where the upper block begins to slip on the lower block,determine (a) the amount by which the spring is compressed and (b) the magnitude of the force F.
asked 2020-12-01
The boom weighs 2600N. The boom is attached with a frictionless pivot at its lower end. It is not uniform; the distance of its center of gravity from the pivot is 35% of its length. a) Find the tension in the guy wire and the horizontal and vertical components of the force exerted on the boom at its lower end. b) Does the line of action of the force exerted on the boom a tits lower end lie along the boom?
asked 2021-11-24
Are the bonds in each of the following substances ionic, nonpolar covalent, or polar covalent? Arrange the substances with polar covalent bonds in order of increasing bond polarity:
(a) KCl,
(b) P4,
(c) BF3,
(d) SO2,
(e) Br2,
(f) NO2
asked 2021-11-11
To focus a camera on objects at different distances, the converging lens is moved toward or away from the film, so a sharp image always falls on the film. A camera with a telephoto lens (f = 200.0 mm) is to be focused on an object located first at a distance of 3.5 m and then at 50.0 m. Over what distance must the lens be movable?
asked 2021-12-28

Study the binomial distribution table. Notice that the probability of success on a single trial p ranges from 0.01 to 0.95. Some binomial distribution tables stop at 0.50 because of the symmetry in the table. Let's look for that symmetry. Consider the section of the table for which n=5. Look at the numbers in the columns headed by p=0.30 and p=0.70. Do you detect any similarities? Consider the following probabilities for a binomial experiment with five trials.
(a) Compare P(3 successes), where p=0.30, with P(2 esses), where p=0.70.
P(3 successes), where p=0.30, is larger. P(3 successes), where p=0.30, is smaller. They are the same.
(b) Compare P(3 or more successes), where p=0.30, with P(2 or fewer successes), where p=0.70.
P(3 or more successes), where p=0.30, is larger.P(3 or more successes), where p=0.30, is smaller. They are the same.
(c) Find the value of P(4 successes), where p=0.30. (Round your answer to three decimal places.) P(4 successes)=
For what value of r is P(r successes) the same using p=0.70?
r=

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question