The divergence theorem for a surface consisting of a sphere is computed in which coordinate system? a) Cartesian b) Cylindrical c) Spherical d) Depends on the function

The divergence theorem for a surface consisting of a sphere is computed in which
coordinate system?
a) Cartesian
b) Cylindrical
c) Spherical
d) Depends on the function
by

1 Answer

Answer :

d) Depends on the function
by

Related questions

Gauss law can be evaluated in which coordinate system? a) Cartesian b) Cylinder c) Spherical d) Depends on the Gaussian surface

Description : Gauss law can be evaluated in which coordinate system? a) Cartesian b) Cylinder c) Spherical d) Depends on the Gaussian surface

Last Answer : d) Depends on the Gaussian surface

A charge located at point p (5,300,2) is said to be in which coordinate system? a) Cartesian system b) Cylindrical system c) Spherical system d) Space system

Description : A charge located at point p (5,300,2) is said to be in which coordinate system? a) Cartesian system b) Cylindrical system c) Spherical system d) Space system

Last Answer : b) Cylindrical system

The cylindrical coordinate system is also referred to as a) Cartesian system b) Circular system c) Spherical system d) Space system

Description : The cylindrical coordinate system is also referred to as a) Cartesian system b) Circular system c) Spherical system d) Space system

Last Answer : b) Circular system

A charge is placed in a square container. The position of the charge with respect to the origin can be found by a) Spherical system b) Circular system c) Cartesian system d) Space coordinate system

Description : A charge is placed in a square container. The position of the charge with respect to the origin can be found by a) Spherical system b) Circular system c) Cartesian system d) Space coordinate system

Last Answer : c) Cartesian system

The Cartesian system is also called as a) Circular coordinate system b) Rectangular coordinate system c) Spherical coordinate system d) Space coordinate system

Description : The Cartesian system is also called as a) Circular coordinate system b) Rectangular coordinate system c) Spherical coordinate system d) Space coordinate system

Last Answer : b) Rectangular coordinate system

The distance vector is obtained in a) Cartesian coordinate system b) Spherical coordinate system c) Circular coordinate system d) Space coordinate system

Description : The distance vector is obtained in a) Cartesian coordinate system b) Spherical coordinate system c) Circular coordinate system d) Space coordinate system

Last Answer : d) Space coordinate system

The Cartesian coordinates can be related to cylindrical coordinates and spherical coordinates. State True/False. a) True b) False

Description : The Cartesian coordinates can be related to cylindrical coordinates and spherical coordinates. State True/False. a) True b) False

Last Answer : a) True

Compute divergence theorem for D = 5r 2 /4 i in spherical coordinates between r = 1 and r = 2 in volume integral. a) 80 π b) 5 π c) 75 π d) 85 π

Description : Compute divergence theorem for D = 5r 2 /4 i in spherical coordinates between r = 1 and r = 2 in volume integral. a) 80 π b) 5 π c) 75 π d) 85 π

Last Answer : c) 75 π

Compute divergence theorem for D= 5r 2 /4 i in spherical coordinates between r=1 and r=2. a) 80π b) 5π c) 75π d) 85π

Description : Compute divergence theorem for D= 5r 2 /4 i in spherical coordinates between r=1 and r=2. a) 80π b) 5π c) 75π d) 85π

Last Answer : c) 75π

From the following which type of work envelope is made in Cartesian coordinate robot. a.Square work envelope b.Spherical work envelope c.Cylindrical work envelope d.Rectangular work envelope

Description : From the following which type of work envelope is made in Cartesian coordinate robot. a.Square work envelope b.Spherical work envelope c.Cylindrical work envelope d.Rectangular work envelope

Last Answer : d.Rectangular work envelope

From the following which type of work envelope is made in Cartesian coordinate robot. (A) Square work envelope (B) Spherical work envelope (C) Cylindrical work envelope (D) Rectangular work envelope

Description : From the following which type of work envelope is made in Cartesian coordinate robot. (A) Square work envelope (B) Spherical work envelope (C) Cylindrical work envelope (D) Rectangular work envelope

Last Answer : D

For a function given by F = 4x i + 7y j +z k, the divergence theorem evaluates to which of the values given, if the surface considered is a cone of radius 1/2π m and height 4π 2 m. a) 1 b) 2 c) 3 d) 4

Description : For a function given by F = 4x i + 7y j +z k, the divergence theorem evaluates to which of the values given, if the surface considered is a cone of radius 1/2π m and height 4π 2 m. a) 1 b) 2 c) 3 d) 4

Last Answer : b) 2

The Gauss divergence theorem converts a) line to surface integral b) line to volume integral c) surface to line integral d) surface to volume integral

Description : The Gauss divergence theorem converts a) line to surface integral b) line to volume integral c) surface to line integral d) surface to volume integral

Last Answer : d) surface to volume integral

Which of the following theorem convert line integral to surface integral? a) Gauss divergence and Stoke’s theorem b) Stoke’s theorem only c) Green’ s theorem only d) Stoke’s and Green’s theorem

Description : Which of the following theorem convert line integral to surface integral? a) Gauss divergence and Stoke’s theorem b) Stoke’s theorem only c) Green’ s theorem only d) Stoke’s and Green’s theorem

Last Answer : d) Stoke’s and Green’s theorem

The divergence theorem converts a) Line to surface integral b) Surface to volume integral c) Volume to line integral d) Surface to line integral

Description : The divergence theorem converts a) Line to surface integral b) Surface to volume integral c) Volume to line integral d) Surface to line integral

Last Answer : b) Surface to volume integral

Divergence theorem computes to zero for a solenoidal function. State True/False. a) True b) False

Description : Divergence theorem computes to zero for a solenoidal function. State True/False. a) True b) False

Last Answer : a) True

Find the divergence theorem value for the function given by (e z , sin x, y 2 ) a) 1 b) 0 c) -1 d) 2

Description : Find the divergence theorem value for the function given by (e z , sin x, y 2 ) a) 1 b) 0 c) -1 d) 2

Last Answer : b) 0

If a function is described by F = (3x + z, y 2 − sin x 2 z, xz + ye x5 ), then the divergence theorem value in the region 0<x<1, 0<y<3 and 0<z<2 will be a) 13 b) 26 c) 39 d) 51

Description : If a function is described by F = (3x + z, y 2 − sin x 2 z, xz + ye x5 ), then the divergence theorem value in the region 0

Last Answer : c) 39

The divergence theorem value for the function x 2 + y 2 + z 2 at a distance of one unit from the origin is a) 0 b) 1 c) 2 d) 3 View A

Description : The divergence theorem value for the function x 2 + y 2 + z 2 at a distance of one unit from the origin is a) 0 b) 1 c) 2 d) 3

Last Answer : d) 3

The area of sphere can be computed from the sphere volume. State True/False. a) True b) False

Description : The area of sphere can be computed from the sphere volume. State True/False. a) True b) False

Last Answer : a) True

Given B= (10/r)i+( rcos θ) j+k in spherical coordinates. Find Cartesian points at (- 3,4,0) a) -2i + j b) 2i + k c) i + 2j d) –i – 2k

Description : Given B= (10/r)i+( rcos θ) j+k in spherical coordinates. Find Cartesian points at (- 3,4,0) a) -2i + j b) 2i + k c) i + 2j d) –i – 2k

Last Answer : a) -2i + j

Convert the point (3,4,5) from Cartesian to spherical coordinates a) (7.07,450,530) b) (0.707,450,530) c) (7.07,540,630) d) (0.707,540,630)

Description : Convert the point (3,4,5) from Cartesian to spherical coordinates a) (7.07,450,530) b) (0.707,450,530) c) (7.07,540,630) d) (0.707,540,630)

Last Answer : a) (7.07,450,530)

The polar form of Cartesian coordinates is a) Circular coordinates b) Spherical coordinates c) Cartesian coordinates d) Space coordinates

Description : The polar form of Cartesian coordinates is a) Circular coordinates b) Spherical coordinates c) Cartesian coordinates d) Space coordinates

Last Answer : a) Circular coordinates

The Ampere law is based on which theorem? a) Green’s theorem b) Gauss divergence theorem c) Stoke’s theorem d) Maxwell theorem

Description : The Ampere law is based on which theorem? a) Green’s theorem b) Gauss divergence theorem c) Stoke’s theorem d) Maxwell theorem

Last Answer : c) Stoke’s theorem

Divergence theorem is based on a) Gauss law b) Stoke’s law c) Ampere law d) Lenz law

Description : Divergence theorem is based on a) Gauss law b) Stoke’s law c) Ampere law d) Lenz law

Last Answer : a) Gauss law

Gauss theorem uses which of the following operations? a) Gradient b) Curl c) Divergence d) Laplacian

Description : Gauss theorem uses which of the following operations? a) Gradient b) Curl c) Divergence d) Laplacian

Last Answer : c) Divergence

The Green’s theorem can be related to which of the following theorems mathematically? a) Gauss divergence theorem b) Stoke’s theorem c) Euler’s theorem d) Leibnitz’s theorem

Description : The Green’s theorem can be related to which of the following theorems mathematically? a) Gauss divergence theorem b) Stoke’s theorem c) Euler’s theorem d) Leibnitz’s theorem

Last Answer : b) Stoke’s theorem

The Stoke’s theorem uses which of the following operation? a) Divergence b) Gradient c) Curl d) Laplacian

Description : The Stoke’s theorem uses which of the following operation? a) Divergence b) Gradient c) Curl d) Laplacian

Last Answer : c) Curl

Find the value of divergence theorem for the field D = 2xy i + x 2 j for the rectangular parallelepiped given by x = 0 and 1, y = 0 and 2, z = 0 and 3. a) 10 b) 12 c) 14 d) 16 View An

Description : Find the value of divergence theorem for the field D = 2xy i + x 2 j for the rectangular parallelepiped given by x = 0 and 1, y = 0 and 2, z = 0 and 3. a) 10 b) 12 c) 14 d) 16

Last Answer : b) 12

Find the value of divergence theorem for the field D = 2xy i + x 2 j for the rectangular parallelepiped given by x = 0 and 1, y = 0 and 2, z = 0 and 3. a) 10 b) 12 c) 14 d) 16

Description : Find the value of divergence theorem for the field D = 2xy i + x 2 j for the rectangular parallelepiped given by x = 0 and 1, y = 0 and 2, z = 0 and 3. a) 10 b) 12 c) 14 d) 16

Last Answer : b) 12

The ultimate result of the divergence theorem evaluates which one of the following? a) Field intensity b) Field density c) Potential d) Charge and flux

Description : The ultimate result of the divergence theorem evaluates which one of the following? a) Field intensity b) Field density c) Potential d) Charge and flux

Last Answer : d) Charge and flux

Find the value of divergence theorem for A = xy 2 i + y 3 j + y 2 z k for a cuboid given by 0<x<1, 0<y<1 and 0<z<1. a) 1 b) 4/3 c) 5/3 d) 2

Description : Find the value of divergence theorem for A = xy 2 i + y 3 j + y 2 z k for a cuboid given by 0

Last Answer : c) 5/3

Which of the following theorem use the curl operation? a) Green’s theorem b) Gauss Divergence theorem c) Stoke’s theorem d) Maxwell equation

Description : Which of the following theorem use the curl operation? a) Green’s theorem b) Gauss Divergence theorem c) Stoke’s theorem d) Maxwell equation

Last Answer : b) Gauss Divergence theorem

When a vector is irrotational, which condition holds good? a) Stoke’s theorem gives non-zero value b) Stoke’s theorem gives zero value c) Divergence theorem is invalid d) Divergence theorem is valid

Description : When a vector is irrotational, which condition holds good? a) Stoke’s theorem gives non-zero value b) Stoke’s theorem gives zero value c) Divergence theorem is invalid d) Divergence theorem is valid

Last Answer : b) Stoke’s theorem gives zero value

Industrial Robots are generally to designed to carry which of the following coordinate system(s). A : Cartesian coordinate systems B : Polar systems. C : Cylindrical systems D : Sperical Sytem

Description : Industrial Robots are generally to designed to carry which of the following coordinate system(s). A : Cartesian coordinate systems B : Polar systems. C : Cylindrical systems D : Sperical Sytem

Last Answer : A : Cartesian coordinate systems

Industrial Robots are generally to designed to carry which of the following coordinate system(s). A : Cartesian coordinate systems B : Polar systems. C : Cylindrical systems D : Sperical Sytem

Description : Industrial Robots are generally to designed to carry which of the following coordinate system(s). A : Cartesian coordinate systems B : Polar systems. C : Cylindrical systems D : Sperical Sytem

Last Answer : A : Cartesian coordinate systems

Industrial Robots are generally designed to carry which of the following coordinate system(s). (A) Cartesian coordinate systems(B) Polar coordinate systems (C) Cylindrical coordinate system (D) All of the above

Description : Industrial Robots are generally designed to carry which of the following coordinate system(s). (A) Cartesian coordinate systems (B) Polar coordinate systems (C) Cylindrical coordinate system (D) All of the above

Last Answer : D

Transform the spherical system B = (10/r)i + (10cos θ)j + k into cylindrical form at (5, π/2, -2) a) 2.467i + j + 1.167k b) 2.467i – j + 1.167k c) 2.467i – j – 1.167k d) 2.467i + j – 1.167k

Description : Transform the spherical system B = (10/r)i + (10cos θ)j + k into cylindrical form at (5, π/2, -2) a) 2.467i + j + 1.167k b) 2.467i – j + 1.167k c) 2.467i – j – 1.167k d) 2.467i + j – 1.167k

Last Answer : a) 2.467i + j + 1.167k

Divergence of gradient of a vector function is equivalent to a) Laplacian operation b) Curl operation c) Double gradient operation d) Null vector

Description : Divergence of gradient of a vector function is equivalent to a) Laplacian operation b) Curl operation c) Double gradient operation d) Null vector

Last Answer : a) Laplacian operation

Find the Gauss value for a position vector in Cartesian system from the origin to one unit in three dimensions. a) 0 b) 3 c) -3 d) 1

Description : Find the Gauss value for a position vector in Cartesian system from the origin to one unit in three dimensions. a) 0 b) 3 c) -3 d) 1

Last Answer : b) 3

The scalar factor of Cartesian system is unity. State True/False. a) True b) False

Description : The scalar factor of Cartesian system is unity. State True/False. a) True b) False

Last Answer : a) True

The Gaussian surface for a point charge will be a) Cube b) Cylinder c) Sphere d) Cuboid

Description : The Gaussian surface for a point charge will be a) Cube b) Cylinder c) Sphere d) Cuboid

Last Answer : c) Sphere

The Gaussian surface for a line charge will be a) Sphere b) Cylinder c) Cube d) Cuboid

Description : The Gaussian surface for a line charge will be a) Sphere b) Cylinder c) Cube d) Cuboid

Last Answer : b) Cylinder

Evaluate the surface integral ∫∫ (3x i + 2y j). dS, where S is the sphere given by x 2 + y 2 + z 2 = 9. a) 120π b) 180π c) 240π d) 300π

Description : Evaluate the surface integral ∫∫ (3x i + 2y j). dS, where S is the sphere given by x 2 + y 2 + z 2 = 9. a) 120π b) 180π c) 240π d) 300π

Last Answer : b) 180π

The correct sequence to find H, when D is given is a) D-E-B-H b) D-B-E-H c) It cannot be computed from the data given d) D-H

Description : The correct sequence to find H, when D is given is a) D-E-B-H b) D-B-E-H c) It cannot be computed from the data given d) D-H

Last Answer : a) D-E-B-H

It cannot be determined from Gauss law, whereas the remaining options can be computed from Gauss law. 10. Gauss law for magnetic fields is given by a) Div(E) = 0 b) Div(B) = 0 c) Div(H) = 0 d) Div(D) = 0

Description : It cannot be determined from Gauss law, whereas the remaining options can be computed from Gauss law. 10. Gauss law for magnetic fields is given by a) Div(E) = 0 b) Div(B) = 0 c) Div(H) = 0 d) Div(D) = 0

Last Answer : b) Div(B) = 0

In the conversion of line integral of H into surface integral, which theorem is used? a) Green theorem b) Gauss theorem c) Stokes theorem d) It cannot be converted

Description : In the conversion of line integral of H into surface integral, which theorem is used? a) Green theorem b) Gauss theorem c) Stokes theore d) It cannot be converted

Last Answer : c) Stokes theorem

Find the Cartesian coordinates of B(4,250,1200) a) (0.845, 1.462, 3.625) b) (-0.845, 1.462, 3.625) c) (-8.45, 2.462, 6.325) d) (8.45, 2.462, 6.325)

Description : Find the Cartesian coordinates of B(4,250,1200) a) (0.845, 1.462, 3.625) b) (-0.845, 1.462, 3.625) c) (-8.45, 2.462, 6.325) d) (8.45, 2.462, 6.325)

Last Answer : b) (-0.845, 1.462, 3.625)

The volume of a parallelepiped in Cartesian is a) dV = dx dy dz b) dV = dx dy c) dV = dy dz d) dV = dx dz

Description : The volume of a parallelepiped in Cartesian is a) dV = dx dy dz b) dV = dx dy c) dV = dy dz d) dV = dx dz

Last Answer : a) dV = dx dy dz

The non existence of the magnetic monopole is due to which operation? a) Gradient b) Divergence c) Curl d) Laplacian

Description : The non existence of the magnetic monopole is due to which operation? a) Gradient b) Divergence c) Curl d) Laplacian

Last Answer : b) Divergence