Showing posts with label WAVES. Show all posts

HOW TO STUDY PROGRESSIVE TRAVELLING WAVES TOPIC ?

Wave Equation concept is used in

#Optics

# Alternating Current

# Sound

# SHM

chapters

___________________

ANIMATIONS:

https://www.animations.physics.unsw.edu.au/jw/travelling_sine_wave.htm#sine

https://www.acs.psu.edu/drussell/demos.html

https://phet.colorado.edu/sims/html/wave-on-a-string/latest/wave-on-a-string_all.html

FULL PLAYLIST :

https://www.youtube.com/playlist?list=PL1PT16gwuU0OJlwS_Qxl1iJH1DfBkbaSf

CONCEPT LECTURES

eqn derivation https://youtu.be/1YEL7bkAuEI

part 1 https://youtu.be/Afm5iUI0ilM

part 2 https://youtu.be/tbXCuMAHw0A

Find A, v, Lambda

https://youtu.be/o8UNR7ZRHz4

https://youtu.be/CiRjRG_WTJs

https://youtu.be/8NOexqYramQ

https://youtu.be/KhA7Nfnk7vg

https://youtu.be/4qlLmBe-3ZM

Find Phase Difference

https://youtu.be/0tiawa8ZPNA

https://youtu.be/Yxg4x0uFJWg

https://isequaltoklassesnavneet.blogspot.com/search/label/WAVES

BEATS (SOUND) NUMERICALS DERIVATION CONCEPT \ MAHARASHTRA BOARD CLASS 12 PHYSICS SOLUTION

A set of 8 tuning forks is arranged in a series of increasing order of frequencies. Each fork gives 4 beats per second with the next one and the frequency of last fork is twice that of the first. Calculate the frequencies of the first and the last fork.
[Ans: 28 Hz, 56 Hz]

A sonometer wire is stretched by tension of 40 N. It vibrates in unison with a tuning fork of frequency 384 Hz. How many numbers of beats get produced in two seconds if the tension in the wire is decreased by 1.24 N?
[Ans: 12 beats]

NCERT CLASS 11 PHYSICS CHAPTER 15 SOLUTIONS

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-'. What is (a) the speed of a transverse wave on the string, and (b) the tension in the string?

15.15 A metre-long tube open at one end, with a movable piston at the other end, shows resonance with a fixed frequency source (a tuning fork of frequency 340 Hz) when the tube length is 25.5 cm or 79.3 cm. Estimate the speed of sound in air at the temperature of the experiment. The edge effects may be neglected.

15.16 A steel rod 100 cm long is clamped at its middle. The fundamental frequency of longitudinal vibrations of the rod are given to be 2.53 kHz. What is the speed of sound in steel?

15.17 A pipe 20 cm long is closed at one end. Which harmonic mode of the pipe is resonantly excited by a 430 Hz source ? Will the same source be in resonance with the pipe if both ends are open? (speed of sound in air is 340 m s-').

SUPERPOSITION OF WAVES CHAPTER 6 SOLUTIONS | MAHARASHTRA BOARD | PHYSICS CLASS 12

14. Two wires of the same material and same cross section are stretched on a sonometer. One wire is loaded with 1.5 kg and another is loaded with 6 kg. The vibrating length of first wire is 60 cm and its fundamental frequency of vibration is the same as that of the second wire. Calculate vibrating length of the other wire.
[Ans: 1.2 m]

15. A pipe closed at one end can produce overtones at frequencies 640 Hz, 896 Hz and 1152 Hz. Calculate the fundamental frequency.
[Ans: 128 Hz]

16. A standing wave is produced in a tube open at both ends. The fundamental frequency is 300 Hz. What is the length of tube? (speed of the sound = 340 m s'). [Ans: 0.57 m]

17. Find the fundamental, first overtone and second overtone frequencies of a pipe, open at both the ends, of length 25 cm if the speed of sound in air is 330 m/s. [Ans: 660 Hz, 1320 Hz, 1980 Hz]

18. A pipe open at both the ends has a fundamental frequency of 600 Hz. The first overtone of a pipe closed at one end has the same frequency as the first overtone of the open pipe. How long are the two pipes? [Ans : 27.5 an, 20.625 cm]

19. A string 1m long is fixed at one end. The other end is moved up and down with frequency 15 Hz. Due to this, a stationary wave with four complete loops, gets produced on the string. Find the speed of the progressive wave which produces the stationary wave.[Hint: Remember that the moving end is an antinode.] [Ans: 6.67 m

20. A violin string vibrates with fundamental frequency of 440Hz. What are the frequencies of first and second overtones? [Ans: 880 Hz, 1320 Hz]

21. A set of 8 tuning forks is arranged in a series of increasing order of frequencies. Each fork gives 4 beats per second with the next one and the frequency of last fork is twice that of the first. Calculate the frequencies of the first and the last fork. [Ans: 28 Hz, 56 Hz]

22. A sonometer wire is stretched by tension of 40 N. It vibrates in unison with a tuning fork of frequency 384 Hz. How many numbers of beats get produced in two seconds if the tension in the wire is decreased by 1.24 N? [Ans: 12 beats]

23. A sonometer wire of length 0.5 m is stretched by a weight of 5 kg. The fundamental frequency of vibration is 100 Hz. Calculate linear density of wire. [Ans: 4.9.10' kg/m]

24. The string of a guitar is 80 cm long and has a fundamental frequency of 112 Hz. If a guitarist wishes to produce a frequency of 160 Hz, where should the person press the string? [Ans : 56 cm]

Amplitude and Intensity of Resultant Wave Calculations due to Superposition of 2 Waves | Theory & Numericals

Amplitude and Intensity of Resultant Wave Calculations due to Superposition of 2 Waves

Theory and Numericals

Problems For Practice 1. The phase difference between two light waves reaching a point is is π / 2 What is the resultant amplitude if the individual amplitudes are 3 mm and 4 mm ? 2. Two light waves superposing at the midpoint of the screen are coming from coherent sources of light of phase difference 3 π radian. Their amplitudes are 1 cm each. What will be the resultant amplitude at the given point ? 3. Two coherent monochromatic light beams of intensities I and 41 are superposed. What will be the maximum and minimum possible intensities ? [IIT]

superposition of waves good videos youtube

https://www.youtube.com/watch?v=-k2TuJfNQ9s

https://www.youtube.com/watch?v=hnZ1FKVWN4k

https://www.youtube.com/watch?v=5raMmc7BeEY

https://www.youtube.com/watch?v=NazBRcMDOOo&

https://www.youtube.com/watch?v=Iuv6hY6zsd0

https://www.youtube.com/watch?v=qUiB_zd9M0k

NCERT CLASS 11 WAVES EXEMPLAR SOLUTIONS DOWNLOAD PDF

Waves Chapter Class 11 Physics pdf

Waves Exemplar Class 11 Physics pdf

A transverse harmonic wave on a string is described by y (x,t) =

3.0 sin (36t + 0.018x + π/4)

where x and y are in cm and t is in s. The positive direction of x is

from left to right.

(a) The wave is travelling from right to left.

(b) The speed of the wave is 20m/s.

(d) The least distance between two successive crests in the wave

is 2.5 cm.

15:11

15:35 In the given progressive wave

y = 5 sin (100πt – 0.4πx )

where y and x are in m, t is in s. What is the

(a) amplitude

(b) wave length

(d) wave velocity

(e) particle velocity amplitude

For the harmonic travelling wave y = 2 cos 2π (10t–0.0080x + 3.5)

where x and y are in cm and t is second. What is the phase

difference between the oscillatory motion at two points separated

by a distance of

(a) 4 m

(b) 0.5 m

(d)3λ/4

(at a given instant of time)

(e) What is the phase difference between the oscillation of a

particle located at x = 100cm, at t = T s and t = 5 s

15:10 For the travelling harmonic wave

y(x, t) = 2.0 cos 2π (10t – 0.0080 x + 0.35)

where x and y are in cm and t in s. Calculate the phase difference between oscillatory

motion of two points separated by a distance of

(a) 4 m,

(b) 0.5 m,

(d) 3λ/4

15:10

MAHARASHTRA BOARD CLASS 12 PHYSICS CHAPTER 6 SUPERPOSITION OF WAVES SOLUTIONS

A wave of frequency 500 Hz is travelling with a speed of 350 m/s. (a) What is the phase difference between two displacements at a certain point at times 1.0 ms apart? (b) what will be the smallest distance between two points which are 45° out of phase at an instant of time? [Ans : t, 8.75 cm ]

v) The amplitude of a wave is represented by y = 0.2 sin 4ir [. —x i in SI units. 0.08 0.8 Find (a) wavelength, (b) frequency and (c) amplitude of the wave.

A wave is represented by an equation y = A sin (Bx + Ct). Given that the constants A, B and C are positive, can you tell in which direction the wave is moving?

Which of the following equations represents a wave travelling along the y-axis? (A) x = A sin (ky — cot) (B) y = A sin (kx — cot) (C) y = A sin (ky) cos(cot) (D) y = A cos (ky)sin(cot)

Derivation of equation of travelling (progressive) wave | y(x,t) = A sin(kx - ωt + φ)

In this video we derive equation of a Travelling (Progressive) Wave.

This step by step derivation will help all Class 11 physics students especially the meaning of Wave Number k and the meaning of Initial Wave conditions - initial phase angle.

00:00 A line running towards right

12:40 Meaning of y=A sinkx

17:50 Wave number meaning

26:12 y=A sin k (x-vt)

28:32 y=A sin (kx-wt)

31:50 Initial Conditions

35:33 Solved Numericals

Spread Love ♥♥♥♥ - Like / Comment / Share! I hope you find this is useful. As it's a live lecture, you may like to increase speed to 1.25X or 1.5X. Thanks for watching. Live long and prosper

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