Solve this integral for when cis a perfect sphere .Hint : E becomes parallel to ds and you can take E out of the integral. P is a coutand f do Ebrlow

Q: 3. Consider problem 1 above. How would the value you found for I change if the radius of the Earth's…

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Q: The flux density within the cylindrical volume bounded by r = 2m z = 0 and z = 5m is given by %3D D…

A: Given values:- The flux density of cylinder,(D)=30e-rar-2zaz  C/m2 ----(1) Permittivity of free…

Q: What is between points a andb when R =

A: Option C)  39.07 ohm

Q: wectors to find a result

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Q: find ΦE on the surface of the sphere with r=50mm knowning that Q=30µC and radius a=15mm

A: Flux due to an enclosed surface ϕE=∮E→.ds→=Qinε0

Q: ABCDE iS Prove that the reultartt pentagon 4. faces Ad, AE, BL ces AB, ad A i SAC 20281 7

A: Given

Q: e fig. shown, compute the ff: 18) the resultant using cosine law (force polygon) R = 0) the angle of…

A: Resultant R2 =(A2+B2 +2AB cosθ)

Q: Given the vector field, G =y Find the following: i. G at Q ii. Scalar component of G at Q in the…

A: To determine: (1) The vector field G at Q for the given vector field   Given vector, G=yax-2xay+4az…

Q: Ex+ Use sufer fosition theoremfind durrent I tov 20A 1502 40A Ix Sind Ixs?

A: Given that:- Electrical circuit is given in the question.

Q: 0.7 and Hg Assume surfaces where u, What horizontal force is needed to just start a %3D

A: To start the motion minimum force required is limiting friction

Q: Find the area of a circle when R is πR2 a. using rings b. using strips ty

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Q: If is a constant vector, find the charge density that give rise to the electric field E = (č · †)ĉ.…

A: Charge density (ρ)=εo |c|2

Q: Let R Sx TŤ and e tails at the same point. Which of the following is NOT true? 90° is the angle…

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Q: Suppose Vf(x, y) = 6y sin(xy)i + 6x sin(xy)j, F = V f(x, y), and C y = 5x? from the point (1, 5) to…

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Q: 1. Let F be a vector in Cartesian coordinate system (x, y, z). Determine the divergence of a curl of…

A: 1

Q: EX. 1 A ring Placed a long + = 9, X=0 Carries a uniform chalge of 5 nc @Find E at P(4, 00).…

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Q: The normal is an imaginary line that is what to the surface

A: A normal is the imaginary line which is always perpendicular to the surface.

Q: Figure 1. Figure I shows a solid sphere, centre ) and radius 2r, which is fixcd on a horizontal…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Determine the Miller indices of plane as shown in the figure below a3-

A: Objective: To determine the miller indices of the shaded plane given figure.

Q: If E = 2 18O (Um) at the surfoce oj a 10-cm conducting sphore centered the totel chorge Q on at the…

A: E = 180 V/m R = 10 cm = 0.1m

Q: Usgent the eg uivalent resjs tance Find between paints foy the bigure Where A and B shown in Cirenit…

A: SOlution:

Q: Given the function y =3xyz2î + 2xy³j-x2yzk Find the curl Vxu a. 3yz'i + 6xy2j - x²yk b. Зyz? + 6ху?-…

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Q: Sandy is a squirrel who lives in a hemisphere under the sea (SG = 1.02). The sea floor is 40m from…

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Q: The Position vector of amoving Point is given as : Rct) = ti +(lnccost) ); find %3D speed, unit…

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Q: plane is 0.11; that betv

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Q: In solid physics. Draw the plane ( 110 ) and the vector ( 110 ) in simple cube. The angle between…

A: Answer We have to draw (110) and the vector (110) in simple cube. The angle between planes are 56

Q: Figure I. Figure I shows a solid sphere, centre O and radius 2r, which is fixod on a horizontal…

A: We are providing answer only to part c and d of this question in the next step , because we are…

Q: Evaluate [[ F · ndS (i.e., find the flux of F across S) where F(x, y, z)=-y, x, z² > and S is the…

A: Given F→ = -yx^ + xy^ + z2k^ x2 + y2 + z2 = 4 as the hemisphere is oriented in the direction of the…

Q: (a) the side opposite 0 (b) the side adjacent to o (c) cos 0

A: (a) The side opposite to θ from figure  is 3.00. (b) The side adjacent to φ from figure is 3.00. (c)…

Q: In a spherical distribution the charge density varies as p(r) = for R <r< R, as shown in the figure.…

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Q: O Find the coefficient of (mu)

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Q: ques about point O, and set this equal to zero. Solve your equation for F,.

A:

Q: Solve it sir

A:

Q: In the graph given below, at the point B, the nature of gradient (dy/dr) is A 4

A: Ans : b) zero

Q: Preve that -ut Cos lwit + ø) + Xeq %3D max bolve the 2nd order differential equatan . + b dx + Ex =…

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Q: If A=rsin(0)a, +rsin(0)a, +rsin(0)a,, determine the flux of A out of the closed surface 1srs2, s0sT,…

A: It is difficult to calculate  the flux through the give surface using integral  int (A.ds) But using…

Q: Compute the components of the centroid of the composite area shown. ẍ = _______ ȳ = _______

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Q: Problem 2 Suppose that v(r) = yz& + (xz+y) ŷ – 2xyî. Check Stokes's theorem for the square surface…

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Q: d b 1. Find the flux for each of the closed surfaces a, b, c and d. ja 46

A: According to the Gauss's theorem, the total electric flux is given by  ϕ =qeclosedεo

Q: If r is going from the origin to the point (x,y,z) and r#0 I prove the following relations: V«($) -…

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Q: i.j%3Dj-i%3D0, prove algebraically that Ả · B = A,B, + A,By.

A: Given values:- A→=Axi^+Ayj^ ------(1) B→=Bxi^+Byj^ ------(2) i^.i^=j^.j^=1 ------(3) i^.j^=j^.i^=0…

Q: . If a vector field A(x,y,z)=xz'ex - 2x°yzey+2yz´ez , calculate the curl 7xA at point M(1,-1,-1).

A: In vector calculus, the curl of a vector field is a quantity that describes the infinitesimal…

Q: Finally use the above to show how to obtain the equation to determin the y-intercept (c) of the…

A: Question :....

Q: A-find the Curl, Divergence and Gradient 1, f(x) = xe* – ye? + xze %3D

A: f(x)= xex -yez +xzey

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Q: Sketch the diagram to illustrate the primitive vectors of a face centred cubic, FCC and state the…

A: The position vectors of all the points or atoms in the lattice are called primitive lattice vectors.…

Stellar evolution

We may see thousands of stars in the dark sky. Our universe consists of billions of stars. Stars may appear tiny to us but they are huge balls of gasses. Sun is a star of average size. Some stars are even a thousand times larger than the sun. The stars do not exist forever they have a certain lifetime. The life span of the sun is about 10 billion years. The star undergoes various changes during its lifetime, this process is called stellar evolution. The structure of the sun-like star is shown below.

Red Shift

It is an astronomical phenomenon. In this phenomenon, increase in wavelength with corresponding decrease in photon energy and frequency of radiation of light. It is the displacement of spectrum of any kind of astronomical object to the longer wavelengths (red) side.