Q1/ Find Inverse Laplace Transformation function of ? (5M) 6s2+10s+2 F(s)= $3+3s2+2s
Q: Q2 (i) Evaluate ,7 dz, where C is the positively oriented circle lz - 1| 1.
A: Here we have to integrate the complex integral I=∮(z¯)2 dzalong a circle z-1=1, x-12+y2=1 ;this…
Q: why u is equal to infinity?
A: As per rules of image formation, image should occur at focus, then object should be placed at very…
Q: Prove [Â, BĈ] = [Â, BJĈ + B[‚, ĈJ-
A: A→,B→C= A→,B→C→+B→A→,C→ Consider L.H.S A→,…
Q: Find the eigenvalues and the eigenstates of S
A: Solution: The spin-y (Sy) operator is given by, sy=♄20-ii0 The eigenvalue of the above operations…
Q: 2. Solve the following Laplace equation analytically PDE: Uz + Uyy = 0, u = u(x, y), 0 < x < 2, 0<y…
A: Laplace's equations are the fundamental equations satisfying by the potential energy φ due to a…
Q: S5) Evoleae the integral f f.cre f(x,ie)= (ぼこいg) (x2 +)} + *yE, and Co the bondary of the Portion of…
A: F→=(z2-17y)i+(xz+y2)j+y khere we have to evaluate, ∮ F→.dr→r→=x i+y j+zkdr→=dx i+dy j+dz k…
Q: 74. Langragian of a systern is Lai - bx then (b) r= (c) x =q sin(cr +e) (d) x =ce sin(c +es)
A: Given: L=ax˙2-bx2
Q: Evaluate the double integral 3 + 2х + Зу dх dy : y=0 Jx=0 Select one: O 22/3 о 13/3 O 35/2 O 12
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Q: 4) Solve F.dr using Stokes' theorem for yzi✦ zi‡ yk„where S is the cylinder x² + y² = 4 between -3 ≤…
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Q: The A is an operator , and Q is a function . then AQ=aQ is an eigenfunction only if : a- a is an…
A: Solution: Given that, The A is an operator, and Q is a function. then AQ=aQ is an eigenfunction.
Q: Given a particle of mass m in the harmonic oscillator potential starts out in the state mwx2 mw p(x,…
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Q: Determine the maximum and minimum second moments of area with respect to axes through the origin of…
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Q: Sketch the curve with the given polar equation. r= 4 + sin 8 y y
A: Solution: Given data, r = 4 + sin θ
Q: Can we use Eq. 7-7 (W = Fdcos(theta)) for a one-dimensional variable force, F? a. Yes b. No
A: In the given question We have to discuss about the work done for a one dimensional variable force.
Q: Q; Let focce F, =-i+j; F = }; F=-21-43 and Fu= 2i ase acting at OCo,0), A(20), Bl0:2) and CC3, 2)…
A: The torque due to force F1 is, τ→1=F^1×r^OO=-i+j×0i+0j=0 N·m The torque due to force F2 is,…
Q: What is the uncollided flux density 1 m from a 1 µCi point source of 137Cs if the source is…
A: Flux is independent of shape It is same for all arbitrary shape. φ=qε0 ϕbeing the flux and q is the…
Q: If v= (2+i, 3-2i, 4+i) and w = (−1+i, 1−3i, 3-i), use the standard inner product in C³ to determine,…
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Q: 1. We define the raising/lowering operators L, = L, ± iL,, where Lyiz are angular momen- tum…
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Q: If u = x2 +2x-y and v = -2xy-2y, then the vorticity vector is
A: Given: u=x2+2x-yv = -2xy-2y
Q: In Full Adder, A=0, B=1, C=1 O S=0, Co=0 O S=0, Co=1 O S=1, Co=0 O S=1, Co=1
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Q: ), -G. ), a.) Total differentials: U(V,T) dU - C,dT + RydV S(V,T) ds ar + dv H(P,T) S(P,T) dH - C,dT…
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Q: Why did you use cosine times the phase difference in the square root? Sorry just having a hard time…
A: If the two waves have the same frequency and propagate in the same direction, but have different…
Q: 4. Evaluate the surface integral [[ f dS where, = xz and E is the boundary of the region D in R3…
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Q: c) If f(aa) = 12 (sin aa) aa given by f(aa) = cos ka, where P' = potential. + cos aa for 0 ≤ aa ≤ 47…
A: Given that,And, ,
Q: VatuablelEL J choose the answet 31 4) ith (X+yt
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Q: Find interpalanar space of the direction ( 2 2 0 ) for ( FCC) crystal plane its redii…
A: Given data: The atomic radii of FCC crystal, r=1.414 Å. The miller indices of the FCC crystal…
Q: Q#03. Show that the (hkl) plane is perpendicular to the [hkl] direction.
A: (hkl) means a single plane or a set of planes. Planes are denoted by curly brackets. A set of faces…
Q: Find V^2Ø if Suppose that Ø=x^2+xy+y^2
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Q: 3. Give a formula for the tangent of the l = 0 phase shift for scattering by a potential { for all E…
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Q: 1. If we work in spherical coordinates for L? and L, we have: Î? = -h- sin 0 sin 0 00 + sin? e o L;…
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Q: 2- find the matrix of two operators L, and L2 at l = 1 The given : (e",m'|L²|e, m) = l (l + 1)h²…
A: Given, l',m'L2l,m=ll+1h2δl,l'δm,m' So at l=1 l',m'L2l,m=2h2δl,l'δm,m' δl,l'δm,m'=1 for…
Q: Q# 04: Find Laplace transform of the function 2 Sint
A: The function is of the form tn f(t) where, n=2
Q: Find an equation for the plane through the points (-6, 8, –1) and (-1,3,–8) and perpendicular to the…
A: The equation of the perpendicular plane is-4x-3y+8z=0Equation of a plane is given…
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