Search Colleges, Courses, Exams, Questions and Articles

Ask a query on 8879100846 Ask Login | Sign Up

 

 

› Ask & Answer › Question

15.14 A wire stretched between two rigid supports vibrates in its fundamental mode with a frequency of 45 Hz. The mass of the wire is 3.5 × 10–2 kg and its linear mass density is 4.0 × 10–2 kg m–1. What is (a) the speed of a transverse wave on the string (b) the tension in the string?

0 2 Views | Posted 5 months ago
Asked by Shiksha User

  • 1 Answer

  • V

    Answered by

    Vishal Baghel | Contributor-Level 10

    5 months ago

    Mass of the wire, m = 3.5 ×10-2 kg

    Linear mass density,  μ=ml = 4 ×10-2 kg/m

    Frequency of vibration,  ν = 45 Hz

    Length of the wire, l = mμ = 3.5×10-24×10-2 = 0.875 m

    The wavelength of the stationary wave λ = 2ln , where n = number of nodes in the wire

    For fundamental node, n = 1,  λ = 2l = 2 ×0.875=1.75m

    (a) The speed of the transverse wave in the string is given as v = νλ = 45 ×1.75 = 78.75 m/s

     

    (b) The tension produced in the string is given by the relation, T = v2μ =  (78.75)2 × 4 ×10-2 = 248.06 N

Similar Questions for you

A set of 16 tuning forks are so arranged that each produce 4 beats with the previous one. If the frequency of last tuning fork is double that of first, the frequency of third tuning fork is
A
alok kumar singh

Kindly go through the solution

 

A pipe open at both ends produces a note of fundamental frequency V1. When the pipe is kept with (1/3)rd of its length in water, it produces a note of frequency V2.The value of V1/ V2 is
A
alok kumar singh

Kindy go through the solution

 

A string of linear density 0.4 kg/m is stretched with force of 1000 N. A transverse wave is set up along it. The speed of the wave is
A
alok kumar singh

Kindly go through the solution

 

A particle is executing S.H.M. its potential energy v/s displacement graph is given by

The value of restoring force constant is :-
A
alok kumar singh

Kindly go through the solution

 

A heavy rope is suspended from rigid support. A wave pulse is set up at the lower end. Then
A
alok kumar singh

The acceleration of wave is g/2. Its speed increases as it moves up. So answer is (2)

Get authentic answers from experts, students and alumni that you won't find anywhere else

Sign Up on Shiksha

On Shiksha, get access to

  • 65k Colleges
  • 1.2k Exams
  • 686k Reviews
  • 1800k Answers

Learn more about...

Share Your College Life Experience

Write a Review

Didn't find the answer you were looking for?

Search from Shiksha's 1 lakh+ Topics

or

Ask Current Students, Alumni & our Experts

Ask Now
Community GuidelinesUser Points System
QuestionsDiscussionsTags
×

This website uses Cookies and related technologies for the site to function correctly and securely, improve & personalise your browsing experience, analyse traffic, and support our marketing efforts and serve the Core Purpose. By continuing to browse the site, you agree to Privacy Policy and Cookie Policy.

Need guidance on career and education? Ask our experts

Characters 0/140

The Answer must contain atleast 20 characters.

Add more details

Characters 0/300

The Answer must contain atleast 20 characters.

Keep it short & simple. Type complete word. Avoid abusive language. Next

Your Question

Edit

Add relevant tags to get quick responses. Cancel Post