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
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
Description : Applications of Green’s theorem are meant to be in a) One dimensional b) Two dimensional c) Three dimensional d) Four dimensional
Last Answer : b) Two dimensional
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
Description : Find the value of Green’s theorem for F = x 2 and G = y 2 is a) 0 b) 1 c) 2 d) 3
Last Answer : a) 0
Description : Mathematically, the functions in Green’s theorem will be a) Continuous derivatives b) Discrete derivatives c) Continuous partial derivatives d) Discrete partial derivatives
Last Answer : c) Continuous partial derivatives
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
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
Description : Divergence theorem computes to zero for a solenoidal function. State True/False. a) True b) False
Last Answer : a) True
Description : From the formula F = qE, can prove that work done is a product of force and displacement. State True/False a) True b) False
Description : If two functions A and B are discrete, their Green’s value for a region of circle of radius a in the positive quadrant is a) ∞ b) -∞ c) 0 d) Does not exist
Last Answer : d) Does not exist
Description : Calculate the Green’s value for the functions F = y 2 and G = x 2 for the region x = 1 and y = 2 from origin. a) 0 b) 2 c) -2 d) 1
Last Answer : c) -2
Description : Find the value of Stoke’s theorem for A = x i + y j + z k. The state of the function will be a) Solenoidal b) Divergent c) Rotational d) Curl free
Last Answer : d) Curl free
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
Description : In a dipole, the Gauss theorem value will be a) 1 b) 0 c) -1 d) 2
Last Answer : b) 0
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
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
Description : Divergence theorem is based on a) Gauss law b) Stoke’s law c) Ampere law d) Lenz law
Last Answer : a) Gauss law
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
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
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
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
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
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
Description : Gauss theorem uses which of the following operations? a) Gradient b) Curl c) Divergence d) Laplacian
Last Answer : c) Divergence
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
Description : The Stoke’s theorem uses which of the following operation? a) Divergence b) Gradient c) Curl d) Laplacian
Last Answer : c) Curl
Description : Find the value of Stoke’s theorem for y i + z j + x k. a) i + j b) j + k c) i + j + k d) –i – j – k
Last Answer : d) –i – j – k
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
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
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
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
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
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
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
Description : Which of the Pythagorean Theorem is valid in Electromagnetics? a) |dot product| + |dot product| = 1 2 2 c) |dot product| + |cross product| = 1 b) |cross product| – |cross product| = 1 d) |dot product| + |cross product| = 0
Last Answer : c) |dot product| + |cross product| = 1
Description : The skin depth is calculated from the amplitude of the wave. State true/false a) True b) False
Description : In P polarisation, the electric field lies in the same plane as the interface. State True/False. a) True b) False
Description : In S polarisation, the electric field lies in the plane perpendicular to that of the interface. State True/False a) True b) False
Description : The Snell law is applicable for perpendicular polarisation and the Brewster law is applicable for parallel polarisation. State True/False. a) True b) False
Description : The angle of incidence is equal to the angle of reflection for perfect reflection. State True/False. a) True b) False
Description : The critical angle is defined as the angle of incidence at which the total internal reflection starts to occur. State True/False. a) True b) False
Description : An elliptically polarised wave transmitted at the Brewster angle will be received as an elliptically polarised wave. State True/False a) True b) False
Last Answer : b) False
Description : A circularly polarised wave transmitted at the Brewster angle will be received as linearly polarised wave. State True/False a) True b) False
Description : The core refractive index should be lesser than the cladding refractive index for a coaxial cable. State True/False a) True b) False
Description : The refractive index of air is unity. State True/False. a) True b) False
Description : The electric and magnetic field components in the electromagnetic wave propagation are in phase. State True/False. a) True b) False
Description : The attenuation in a good dielectric will be non- zero. State True/False. a) True b) False
Description : In free space, the ratio of frequency to the velocity of light gives the phase constant. State True/False. a) True b) False