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

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
by

1 Answer

Answer :

d) surface to volume integral
by

Related questions

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

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

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

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

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

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

Gauss law cannot be expressed in which of the following forms? a) Differential b) Integral c) Point d) Stokes theorem

Description : Gauss law cannot be expressed in which of the following forms? a) Differential b) Integral c) Point d) Stokes theorem

Last Answer : d) Stokes theorem

Compute the Gauss law for D = 10ρ 3 /4 i, in cylindrical coordinates with ρ = 4m, z = 0 and z = 5, hence find charge using volume integral. a) 6100 π b) 6200 π c) 6300 π d) 6400 π View Answe

Description : Compute the Gauss law for D = 10ρ 3 /4 i, in cylindrical coordinates with ρ = 4m, z = 0 and z = 5, hence find charge using volume integral. a) 6100 π b) 6200 π c) 6300 π d) 6400 π View Answe

Last Answer : d) 6400 π

Evaluate Gauss law for D = 5r 2 /4 i in spherical coordinates with r = 4m and θ = π/2 as volume integral. a) 600 b) 588.9 c) 577.8 d) 599.7

Description : Evaluate Gauss law for D = 5r 2 /4 i in spherical coordinates with r = 4m and θ = π/2 as volume integral. a) 600 b) 588.9 c) 577.8 d) 599.7

Last Answer : b) 588.9

Gauss law for electric field uses surface integral. State True/False a) True b) False

Description : Gauss law for electric field uses surface integral. State True/False a) True b) False

Last Answer : a) True

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 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

Description : 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

Last Answer : d) Depends on the function

Poisson equation can be derived from which of the following equations? a) Point form of Gauss law b) Integral form of Gauss law c) Point form of Ampere law d) Integral form of Ampere law

Description : Poisson equation can be derived from which of the following equations? a) Point form of Gauss law b) Integral form of Gauss law c) Point form of Ampere law d) Integral form of Ampere law

Last Answer : a) Point form of Gauss law

The Gauss law employs which theorem for the calculation of charge density? a) Green theorem b) Stokes theorem c) Gauss theorem d) Maxwell equation

Description : The Gauss law employs which theorem for the calculation of charge density? a) Green theorem b) Stokes theorem c) Gauss theorem d) Maxwell equation

Last Answer : c) Gauss theorem

In a dipole, the Gauss theorem value will be a) 1 b) 0 c) -1 d) 2

Description : In a dipole, the Gauss theorem value will be a) 1 b) 0 c) -1 d) 2

Last Answer : b) 0

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 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

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

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

The work-electric field relation is given by a) Volume integral b) Surface integral c) Line integral d) Relation impossible

Description : The work-electric field relation is given by a) Volume integral b) Surface integral c) Line integral d) Relation impossible

Last Answer : c) Line integral

Surface integral is used to compute a) Surface b) Area c) Volume d) density

Description : Surface integral is used to compute a) Surface b) Area c) Volume d) density

Last Answer : b) Area

Line integral is used to calculate a) Force b) Area c) Volume d) Length

Description : Line integral is used to calculate a) Force b) Area c) Volume d) Length

Last Answer : d) Length

Which equation will hold good for a magnetic material? a) Line integral of H is zero b) Surface integral of H is zero c) Line integral of B is zero d) Surface integral of B is zero

Description : Which equation will hold good for a magnetic material? a) Line integral of H is zero b) Surface integral of H is zero c) Line integral of B is zero d) Surface integral of B is zero

Last Answer : d) Surface integral of B is zero

Which of the following correctly states Gauss law? a) Electric flux is equal to charge b) Electric flux per unit volume is equal to charge c) Electric field is equal to charge density d) Electric flux per unit volume is equal to volume charge density

Description : Which of the following correctly states Gauss law? a) Electric flux is equal to charge b) Electric flux per unit volume is equal to charge c) Electric field is equal to charge density d) Electric flux per unit volume is equal to volume charge density

Last Answer : d) Electric flux per unit volume is equal to volume charge density

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

Gauss law can be used to compute which of the following? a) Permittivity b) Permeability c) Radius of Gaussian surface d) Electric potential

Description : Gauss law can be used to compute which of the following? a) Permittivity b) Permeability c) Radius of Gaussian surface d) Electric potential

Last Answer : c) Radius of Gaussian surface

Using volume integral, which quantity can be calculated? a) area of cube b) area of cuboid c) volume of cube d) distance of vector

Description : Using volume integral, which quantity can be calculated? a) area of cube b) area of cuboid c) volume of cube d) distance of vector

Last Answer : c) volume of cube

The volume integral is three dimensional. State True/False a) True b) False

Description : The volume integral is three dimensional. State True/False a) True b) False

Last Answer : a) True

The triple integral is used to compute volume. State True/False a) True b) False

Description : The triple integral is used to compute volume. State True/False a) True b) False

Last Answer : a) True

The gradient can be replaced by which of the following? a) Maxwell equation b) Volume integral c) Differential equatio

Description : The gradient can be replaced by which of the following? a) Maxwell equation b) Volume integral c) Differential equatio

Last Answer : c) Differential equation

The surface integral of which parameter is zero? a) E b) D c) B d) H

Description : The surface integral of which parameter is zero? a) E b) D c) B d) H

Last Answer : c) B

For a solenoidal field, the surface integral of D will be, a) 0 b) 1 c) 2 d) 3

Description : For a solenoidal field, the surface integral of D will be, a) 0 b) 1 c) 2 d) 3

Last Answer : a) 0

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

Which of the following is not an application of Green’s theorem? a) Solving two dimensional flow integrals b) Area surveying c) Volume of plane figures d) Centroid of plane figures

Description : Which of the following is not an application of Green’s theorem? a) Solving two dimensional flow integrals b) Area surveying c) Volume of plane figures d) Centroid of plane figures

Last Answer : c) Volume of plane figures

The Stoke’s theorem can be used to find which of the following? a) Area enclosed by a function in the given region b) Volume enclosed by a function in the given region c) Linear distance d) Curl of the function

Description : The Stoke’s theorem can be used to find which of the following? a) Area enclosed by a function in the given region b) Volume enclosed by a function in the given region c) Linear distance d) Curl of the function

Last Answer : a) Area enclosed by a function in the given region

The line integral of which parameter is zero for static fields? a) E b) H c) D d) B

Description : The line integral of which parameter is zero for static fields? a) E b) H c) D d) B

Last Answer : a) E

The line integral of the electric field intensity is a) Mmf b) Emf c) Electric potential d) Magnetic potential

Description : The line integral of the electric field intensity is a) Mmf b) Emf c) Electric potential d) Magnetic potential

Last Answer : b) Emf

The line integral of the magnetic field intensity is the a) Current density b) Current c) Magnetic flux density d) Magnetic moment

Description : The line integral of the magnetic field intensity is the a) Current density b) Current c) Magnetic flux density d) Magnetic moment

Last Answer : b) Current

The integral form of potential and field relation is given by line integral. State True/False a) True b) False

Description : The integral form of potential and field relation is given by line integral. State True/False a) True b) False

Last Answer : a) True

Which one of the following laws will not contribute to the Maxwell’s equations? a) Gauss law b) Faraday law c) Ampere law d) Curie Weiss law

Description : Which one of the following laws will not contribute to the Maxwell’s equations? a) Gauss law b) Faraday law c) Ampere law d) Curie Weiss law

Last Answer : d) Curie Weiss law