The document Superposition of Waves (Part - 1) - Physics, Solution by DC Pandey NEET Notes | EduRev is a part of the NEET Course DC Pandey (Questions & Solutions) of Physics: NEET.

All you need of NEET at this link: NEET

**Introductory Exercise 15.1**

**Ques 1: A string vibrate according to the equation ****where x and y are in centimetres and t is in seconds.(a) What is the speed of the component wave?(b) What is the distance between the adjacent nodes?(c) What is the velocit y of the particle of the string at the posit ion x = 1.5 cm when t = 9/8 s?Sol: **

(b) Distance between adjacent nodes

Now substitute the given values of x and t.

Sol:

(i) Obtain the frequencies of the modes shown in figures (a) and (b). (ii) Write down the transverse displacement y as a function of x and f for each mode. (Take the initial configuration of the wire in each mode to be as shown by the dark lines in the figure).

Now

Similarly f

(a) Which harmonics are these?

(b) What is the length of the string?

(c) What is the wavelength of the fundamental frequency?

Sol:

or

...(i)

Similarly,

or

... (ii)

From Eqs. (i) and (ii) we have,

(b) From Eq. (i)

l = (0.27)n = 0.27 Ã— 8 = 2.16 m**Ques 6: If the frequencies of the second and fifth harmonics of a string differ by 54 Hz. What is the fundamental frequency of the string?Sol:** 5f - 2f=54

3f = 54 f = 18 Hz

Sol:

Solving we get,

M = 0.873 kg**Ques 8: A wire fixed at both ends is 1.0 m long and has a mass of 36 g. One of its oscillation frequencies is 250 Hz and the next higher one is 300 Hz. (a) Which harmonics do these frequencies represent? (b) What is the tension in the wire?Sol:**

So, f

Offer running on EduRev: __Apply code STAYHOME200__ to get INR 200 off on our premium plan EduRev Infinity!

- Important Formulae for Wave Motion
- Doc | 3 pages