A violin string, 0.5 m long, has a fundamental frequency of…

Physics Wave and Sound Mix MCQ (Single Correct)

A violin string, 0.5 m long, has a fundamental frequency of 200 Hz.

At what speed does a transverse pulse travel on this string?

Draw a pulse before and after reflection from one end of the string.

Show a sketch of the string in the next two higher modes of oscillation and give the frequency of each mode.

Text Solution

Verified by Experts

The correct answer is:

CHECK THE SOLUTION.

For a string of length l fastened at both ends, the wavelength λ of the fundamental mode is given by λ /2 = l. Hence

v = λv = 2lv = 2 × 0.5 × 200 = 200 m/s.

Figure shows the shape of a pulse before and after reflection from one end of the string.

The frequencies of the next two higher modes are 400 Hz and 600 Hz. The corresponding shapes of the string are as shown in Fig.

Get practice questions, solutions, and test series in one place.

Share your experience with this question and solution.

Send your comment, doubt, correction, or feedback to admin.

What students say about this solution

No reviews yet. Be the first to write a review.