appropriately chosen, the t- 3) sin(kx + wt) and y2(x,t) sin(kx – wt) and y2(x,t) sin(kx – wt) and y2(x,t) a sin[(kx/2) – (wt /2)] and | sin(kr +wt) and ualr t)

Q: Consider the signal m(t) = 6cos(87t)+2cos(47t) (a) Calculate the average power P, of the signal. (b)…

A:

Q: P7F.6 Confirm that Y, taken from Table 7F.1, is normalized. You will need to integrate YY,41 over…

A:

Q: 9. Show the Complex Fourier Integral Transform (Fourier transform) of the function defined below…

A: We know that the exponential formula of trigonometry of sinA  sinA=[e(iA)-e(-iA)]÷(2i) By using this…

Q: -iwit, The wave function is given by (x, t) = c[3e-i@it&1(x) + 4e-iw2t¢2(x)] where 1(x) and 2(x) are…

A: So we will basically calculate the average of energy by doing normalization. Then the square of the…

Q: Find the Fourier transform of e=jt

A: Given that:f(t)=e-jtTo determine the Fourier transformation of f(t)

Q: Suppose that you have the functional J (a) = S². ƒ {y(a, x), y' (a, x); x}dx where y (a, x) = 3x – a…

A: Given, Jα=∫-π2π2fyα,x,y'α,x;xdxyα,x=3x-αcos2xTherefore,y'α,x=3+αsin2x

Q: Find the Fourier transform of e-a²t² Hint: Use the integral formula Sе-¹² du = √

A:

Q: (a) Write the wave function ų(x)= 4o•e'kx in the form w(x) = a + ib, where a and b are real…

A: a) The wave function is given by ψ(x)=ψ0 eikx        =ψ0( cos kx+i sin kx)        =ψ0 cos kx+iψ0 sin…

Q: - M₁M₂w¹ – 2C(M₁ + M₂)² + 2C²(1 — cos Ka) = 0. (22) We can solve this equation exactly for w², but…

A:

Q: If Hn (x) is the nth order Hermite polynomial, then which of the following integrals is equal to 0?…

A: Given: Hn(x) is nth order Hermite polynomial.

Q: Find the Fourier transform of rect(t/4). (a) sinc(w) (b) sinc(w) (c) sinc(2w) (d) 2 sinc(2w)

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Q: With a 670.00 Hz tuning fork, you measure a distance of  15.00 ± 2 cm between adjacent nodes. If the…

A: in this question  we use simple velocity equation with frequency and wavelength.

Q: After measuring at the (200) Bragg peak, moving to the (111) Bragg peak, what are the Δ2θ and Δω?…

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Q: The light that plants absorb to perform photosynthesis has a wavelength that peaks near 675 nm.…

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Q: 1. At z=0, a circular gaussian beam is given by E = E, Exp- , where E is the electric field.…

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Q: For the spherical harmonics Y11 and Y11-, verify that L2Ylm equals mℏYlm

A: Concept used: Spherical harmonics represent angular momentum and magnetic moment of atom .

Compton effect

The incoming photons' energy must be in the range of an X-ray frequency to generate the Compton effect. The electron does not lose enough energy that reduces the wavelength of scattered photons towards the visible spectrum. As a result, with visible lights, the Compton effect is missing.

Recoil Velocity

The amount of backward thrust or force experienced by a person when he/she shoots a gun in the forward direction is called recoil velocity. This phenomenon always follows the law of conservation of linear momentum.