unction D çâp in spherical polar coordinates is

Q: Q1) Given points in cylindrical system,: M(2, n, 0), N(1,0, 2),P(3, t/2,1), find: (a) RMN; (b) rM|;…

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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: 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: Replace the polar equation r= - 4 sec 0 with an equivalent Cartesian equation. Then identify the…

A: PUT    X =r cosθ             y = r sin θ            x2 + y2 = r2

Q: A vector field is defined by:  F (x,y,z) = -xi - yj + zk  Select the option that gives F expressed…

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Q: (a) Find the curl of the following vector: A = r cos 0 f-(sin e cos e@ (spherical) 2ô (spherical)…

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Q: Express the vector field W=(x^2-y^2)i +xzk in spherical coordinates at P(4,30degrees,120degrees).

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Q: Ex. (18): Find the volume of the region common to the intersecting cylinders x? + y? = a² and x? +…

A: Given Data : The equation of the first cylinder is x2+y2=a2 The equation of the second cylinder is…

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: whats the mass of a hydrogen proton?

A: To give : Mass of hydrogen proton

Q: Use the following constants if necessary. Coulomb constant, k=8.987×10^9N-m2/C2. Vacuum…

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Q: Compute the flux of = a bounded below by the plane from the z-axis. + y + zk through the curved…

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Q: A speaker emits a sound with power 0.2 mW. At what distance is the intensity level of the sound 12.0…

A: Dear student, as you have asked multiple questions, we will provide the solution to the first…

Q: Determine the first and second derivative of the given position vector and plot the velocity and…

A: Solution : Let us take the first derivative of the given position vector. r→=cost…

Q: Two vectors A= 17 - 2j and B = 2î + 3j. Find the approximate angle between the vectors (-3A) and…

A: Given:- vector,  A=i∧ -2j∧                              B=2i∧+3j∧Mutliply  by -3  in vector  A then…

Q: The uniform vector field A = ay can also be expressed as?

A: If it is an MCQ, options would have aided in providing accurate answer.

Q: (d) You now know the sum of the two masses, and their ratio as well: two equations for two…

A: Given,

Q: A box with weight of magnitude FG =2.00 N is lowered by a rope down a smooth plane that i inclined…

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Q: Determining Planar miller indices.

A: Determining the Miller indices: Step 1: The Plane intersects with the X-axis at 14 The Plane…

Q: Steps 9: The white charge producer is removed without letting it touch with anything. The following…

A: Potential is related with the current by the following formula, V=iR where i is the current and R is…

Q: Two points in the xy plane have Cartesian coordinates (2.00, –4.00) m and (-3.00, 3.00) m. Determine…

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Q: What is the mass of the air?

A: We know the universal gas equation, PV=nRT........................................(1) where,…

Q: The spherical coordinates of a point (x, y, z) are unique. O True O False

A: True, the spherical coordinates are unique

Q: 2.2 Exploratory Study of Resistance In this part of the experiment, you will investigate the…

A: SOlution: as the values of current and voltage vs the length of the conductor is given

Q: In cylindrical coordinates, P = Peyt(1, 90°, 1) and Q = Qeyl(0,0°, 1). (a) Determine the length of…

A: Given:Coordinates of P: P=Pcyl1,90°,1Coordinates of Q: Q=Qcyl0,0°,1 To obtain:The length of the line…

Q: example of a space where there is not always a geodesic (i.e. a shortest path) between two points.

A: A metric space is said to be a geodesic space if every pair of points can be joined by a path of the…

Q: Using spherical polar coordinates, find Vf for (a) f = r4 (b) f = r2 +1 (c) f = r2 sin 20 cos o

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Q: sics val ane Part A What is the magnitude of the magnetic flux through one turn of the coil before…

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Q: Steps 10, 11: The white charge producer is inserted into the pail again but this time we let it…

A: Here we consider two states: Before and after Before: When there is no charge producer The charge on…

Q: Consider the differential volume element Y10Q1 [r,r+ dr] [0,0+ d0] [o,6+ do] shown in the Cartesian…

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Q: Vector A = in spherical coordinate system at P(12, 12, 8).   What is the magnitude of vector A in…

A: To determine the magnitude of vector A in the "rho" direction in cylindrical coordinate system at P,…

Q: P2 92) In spherical Coor dinates. E 2r ar v/m.Rind The Potential alny Point,using The re ferences…

A: A spherical coordinate system has three parameters r,θ,ϕ. The line element for this particular…

Q: Would this not be positive since CCW?

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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: An electron is in motion at 4.0 × 10⁰ m/s horizontally when it enters a region of space between two…

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Q: Problem 2: Suppose the massless rod in the discussion of the nonlinear pendulum is a string of…

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Q: (b) Calculate Curl and divergence of given vector field x³y2 F = (3x + 2z?)î + ;- (z – 7x)k -j – (z…

A: F→=3x+2z2i^+x3y2zj^-z-7xk^ Curl:∇×F→∇×F→=i^j^k^∂∂x∂∂y∂∂z3x+2z2x3y2z-z+7x…

Q: Radius of gyration of disc about and passing through its centre and perpendicular to its plane is 2…

A: To find-Radius of gyration  about diameter=?Given-Radius of gyration about the centre (Ko)=2 cm

Q: Find the flux of F=−zi+yj−xk out of a sphere of radius 4 centered at the origin. Hint: Your answer…

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Q: directed

A: The forces can be represented as,

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.