Consider two waves that are superposing f1(x) = Asin(kx) f2(x) = Asin(kx+π/4) What is the wavelength of the resultant wave? What is the amplitude of the resultant wave?

Q: ,5T 9T Consider a wave described by the wave function y (x,t) = 0.50m sin (m-1x + s-1 t +), find the…

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Q: Consider a wave described by the wave function y (x,t) = 0.85m sin (- -m 2 s-1 t + -), find the…

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Q: Two pulses on a string approach each other at speeds of 1 m/s. What is the shape of the string at t…

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Q: A wave is described by the given wave function , 8 TI o-1+ y(x,t) = 0.65m sin 5 3 The frequency of…

A: The given equation is : y(x,t)=0.65 m sin6π5m-1 x-8π3s-1+ϕ ...(1)   The general equation of wave is…

Q: On the provided wave plot, draw a wave that has half the amplitude and double the wavelength of the…

A: In the given figure, amplitude of the wave is 1 cm and wavelength which is the crest to crest…

Q: For the wave y=10 sin⁡(4t/3) the frequency is 4/3 (True or  False)

A: Given: A wave , y=10 sin(4t3)

Q: 6T Consider a wave described by the wave function y (X,0=0.65m sin ( m 5. ), find the wavelength of…

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Q: Two waves travelling in the same direction are given by: y1 = 0.2 %3D sin(3tx-20t+p) and y2 = 0.2…

A: Given-y1=0.2sin(3πx-20t+ϕ)y2=0.2sin(3πx-20t)y=y1+y2=0.2sin(3πx-20t+ϕ)+0.2sin(3πx-20t)=0.2sin(3πx-20t…

Q: The diagram below shows a wave does 1 complete cycle in 20 seconds. What is the frequency of this…

A: Frequency is the number of cycles per second. F = N/T or 1/Time period The unit of F is hertz (Hz).

Q: A wave is described by the given wave function ,y(x,t) = 0.65m sin 6 T m'x- 8 TT + The frequency of…

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Q: Consider two wave functions y(x, t) = 0.30 cm sin (3 m−1 x − 4 s−1 (t)) and y(x, t) = 0.30 cm sin (3…

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Q: Calculate the velocity of a wave that has a frequency of 60 Hz and a wavelength of 2.0 m/s. O 30 m/s…

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Q: Consider a wave described by the wave function 5 Tt 9Tt TT s-1t+ -1 y (x,t)=0.50m sin (- 3 S. 4 10…

A: Finding the velocity of wave from equation:

Q: Show that f(x, y) =(Aekx + Be−kx) (Ce2ky + De−2ky) is a solution of the wave equation…

A: f(x, y) =(Aekx + Be−kx) (Ce2ky + De−2ky) is a solution of the wave equation ∂2f/∂y2-4∂2f/∂x2=0 or…

Q: y=-7.89 , x=0 and t=0 A=48.2cm Wavelength = 46.7 cm Wave speed =14.7 m/s Determine Angular…

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Q: Question 2 2 Show that y = Ymax Ymax cos(xt) is a solution to wave velocity being related to the…

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Q: Consider a wave described by the wave function 6 TT 8 T TO -1 m 5 -), find the wavelength of wave? y…

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Q: Two similar waves, each with intensity of 2.00 W/m², interfere constructively. Calculate the…

A: Given: The intensity of the first wave is I1=2.00 W/m2 The intensity of the second wave is I2=2.00…

Q: The intensity of a spherical waves decreases as the wave moves away from the source. If the…

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Q: If the ratio of intensities of two waves is 1: 36, estimate the ratio of their amplitudes

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Q: Consider two waves meet in space, y1 = 2 cos(0.05nx - 200nt), and y2 = 2 cos (0.05nx + 200nt).…

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Q: Why is the equation of a wave moving in the positive x-axis of the form f(x - vt) and not f(x + vt)?

A: Let the function be,

Q: Two point sources in a ripple tank vibrate in phase at a frequency of 12 Hz to produce waves of…

A: Answer:- (d) 3.6 cm  Given  Frequency (f) = 12 Hz  Wavelength (λ) = 0.024 m  = 0.024 × 100 = 2.4 cm…

Q: We now consider two sound waves with different frequencies which have to the same amplitude. The…

A: Let  interference of y1 & y2  occour at point p

Q: 5TT 9T -1t+ find the frequency of wave? -1 Consider a wave described by the wave function y…

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Q: Show that the two waves with wave functions given by E1 = 6.00 sin (100πt) and E2 = 8.00 sin (100πt…

A: The resultant wave function is,

Q: The length (L) of the string above is 30 m. What is the wavelength? 90 m 30 m You Answered 0.03333 m…

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Q: 5T Consider a wave described by the wave function y (x,t) =0.50m sin 9T s1t+), find t 4 -1 TO…

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Q: Two progressive waves of amplitudes 2.4cm and 3cm moving through a medium form a single wave whose…

A: Progressive waves are the waves that travel along the same direction continuously. Standing waves…

Q: A wave described by the equation y(x,t)=0.08sin(x – 3nt) is emitted from a nearby source. Calculate…

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Q: Consider a string fixed at both ends. The longest wavelength for standing waves on the string is O…

A: Let the length of string here be L

Q: Consider a wave described by the wave function y (x,f)=D0.85m sin (- -1 m. 5T st+), find the -1 4…

A: Required : Frequency of the wave.

Q: Two waves are described by the wave functions: y(x,t)=10sin(2x-10t) and y(x,t)= 10cos(2x-10t)…

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Q: A set of water waves travels at 20. 0 m/s , and 4.0 waves pass you in 2.0 s. What is the wavelength…

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Q: Waves moving on a lake have a speed of 2.0 m/s and a distance of 1.5 m between adjacent crests. Each…

A: Given, Velocity of waves, v=2.0 m/s, distance between crests, d=1.5 m, height of crests, h= 0.30 m,…

Q: A wave is described by the given wave function , 5 TT -1x - y(x,t) = 0.5m sin | 3 4 10 The frequency…

A: Given wave function : We will compare it with the equation- y(x, t) = A sin (kx - wt +phi)  Here A…

Q: Find the number of nodes and anti-nodes for the given standing waves formed on a stretched string.…

A: The node is positioned where particles of the medium vibrate with zero amplitude. The antinode is…

Q: 5) For the graph below, x is in millimeters and y is in V/m. Find the wave number k in rad/m. Graph…

A: The given graph is the sine- graph of the wave. The wavelength of the wave is calculated as the…

Q: Consider a wave described by the wave function y (x,t)=D0.65m sin 6T m x+ -1 8TC St+), find the…

A: standard emwave equation is given by y(x,t)=A0sin(kx+ωt+ϕ)where A0 is Amplitude of wavek is wave…

Q: Find the ratio of energy of wave A to energy of wave B if the ratio of their frequencies is 1:4.

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Q: The picture shows a transverse wave. 12 cm - Rest Position 6 cm O cm 10 cm 20 cm 30 cm 40 cm What…

A: A high pitch sound corresponds to a high frequency sound wave and a low pitch sound corresponds to…

Q: Bending of waves with obstacles and oscillate in one direction respectively is A. Refraction and…

A: The bending of waves through the obstacles is the basic definition of diffraction and when wave is…

Q: If a wave has a wavelength of 2.50 m, calculate its frequency if it has a velocity of 343 m/s. O…

A: The speed of a wave ,v is given by v= λf, where λis the wavelength of the wave and f is the…

Q: Consider a wave described by the wave function (x,t) = 0.50m sin (m -1 x + 4 t + 10 %3D y 3 , find…

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Q: Find the number of nodes and anti-nodes for the given standing waves formed on a stretched string.…

A: Node are having smaller displacement. Anit nodes are having larger displacements. From the given…

Q: y(x , t) = 5.5cm cos[ 75cm-1x + 4.25s-1t + π/10 ]

A: Given wave equation y = 5.5 cm cos75cm-1 x +4.25 s-1 t + π10

Q: Show that y = ymax cos(xt) is a solution to the wave equation A wave velocity being related to the…

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Interference of sound

Seiche

A seiche is an oscillating standing wave in a body of water. The term seiche pronounced saysh) can be understood by the sloshing of water back and forth in a swimming pool. The same phenomenon happens on a much larger scale in vast bodies of water including bays and lakes. A seizure can happen in any enclosed or semi-enclosed body of water.