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 : 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 : 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 : 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 : 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 : Calculate the charge density for the current density given 20sin x i + ycos z j at the origin. a) 20t b) 21t c) 19t d) -20t
Last Answer : b) 21t
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 Shoelace formula is a shortcut for the Green’s theorem. State True/False. a) True b) False
Last Answer : a) True
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 : 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 : Find the area of a right angled triangle with sides of 90 degree unit and the functions described by L = cos y and M = sin x. a) 0 b) 45 c) 90 d) 180
Last Answer : d) 180
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
Description : Given the vector potential is 16 – 12sin y j. Find the field intensity at the origin. a) 28 b) 16 c) 12 d) 4
Last Answer : c) 12
Description : Find the divergence of the vector F= xe -x i + y j – xz k a) (1 – x)(1 + e -x ) b) (x – 1)(1 + e -x ) c) (1 – x)(1 – e) d) (x – 1)(1 – e)
Last Answer : a) (1 – x)(1 + e -x )
Description : Calculate the phase constant of a dielectric with frequency 6 x 10 6 in air. a) 2 b) 0.2 c) 0.02 d) 0.002
Last Answer : c) 0.02
Description : Calculate the velocity of a wave with frequency 2 x10 9 rad/s and phase constant of 4 x 10 8 units. a) 0.5 b) 5 c) 0.2 d) 2
Last Answer : b) 5
Description : Calculate the reluctance of a material with length 2π x 10 -4 in air with area 0.5. a) 1 b) 10 c) 100 d) 1000
Last Answer : d) 1000
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
Description : Find the Laplace equation value of the following potential field V = x 2 – y 2 + z 2 a) 0 b) 2 c) 4 d) 6
Last Answer : b) 2
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 : 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 : A point charge 2nC is located at origin. What is the potential at (1,0,0)? a) 12 b) 14 c) 16 d) 18
Last Answer : d) 18
Description : Calculate the velocity of wave propagation in a conductor with frequency 5 x 10 8 rad/s and phase constant of 3 x 10 8 units. a) 3/5 b) 15 c) 5/3 d) 8
Description : Calculate the Larmer angular frequency for a magnetic flux density of 12.34 x 10 -10 . a) 108.36 b) 810.63 c) 368.81 d) 183.36
Last Answer : a) 108.36
Description : Calculate the skin depth of a conductor, having a conductivity of 200 units. The wave frequency is 10 GHz in air. a) 355.8 b) 3.558 c) 35.58 d) 0.3558
Last Answer : a) 355.8
Description : Calculate the transmission coefficient of a wave with a reflection coefficient of 0.6 a) 0.6 b) 1 c) 0 d) 0.4
Last Answer : d) 0.4
Description : Calculate the ratio of sine of incident angle to the sine of reflected angle when the refractive indices of medium 1 and 2 are given as 2.33 and 1.66 respectively. a) 0.71 b) 1.4 c) 2 d) 3.99
Last Answer : a) 0.71
Description : Calculate the phase constant of a conductor with attenuation constant given by 0.04 units. a) 0.02 b) 0.08 c) 0.0016 d) 0.04
Last Answer : d) 0.04
Description : Calculate the wavelength of the wave with phase constant of 3.14 units. a) 1 b) 2 c) 0.5 d) 4
Description : Calculate the skin depth of a material with attenuation constant of 2 units. a) 2 b) 1 c) 0.5 d) 4
Last Answer : c) 0.5
Description : Calculate the phase constant of a wave with frequency 12 rad/s and velocity 3×10 8 m/s(in 10 -8 order) a) 0.5 b) 72 c) 4 d) 3
Last Answer : c) 4
Description : Calculate the conduction density of a material with resistivity of 0.02 units and electric intensity of 12 units. a) 300 b) 600 c) 50 d) 120
Last Answer : b) 600
Description : Calculate the emf of a material having flux density 5sin t in an area of 0.5 units. a) 2.5 sin t b) -2.5 cos t c) -5 sin t d) 5 cos t
Last Answer : d) 5 cos t
Description : Calculate the reluctance of the material with a mmf of 3.5 units and flux of 7units. a) 32.5 b) 10.5 c) 0.5 d) 2
Last Answer : b) 10.5
Description : Calculate the magnetization of a material with susceptibility of 50 and field intensity of 0.25 units. a) 12.5 b) 25 c) 75 d) 37.5
Last Answer : a) 12.5
Description : Calculate the flux density due to a circular conductor of radius 100nm and current 5A in air. a) 10 b) 100 c) 0.1 d) 1
Last Answer : a) 10
Description : Calculate the magnetic moment when a field of B= 51 units is subjected to a torque of 20 units. a) 0.39 b) 4.2 c) 2.55 d) 3.21
Last Answer : a) 0.39
Description : Calculate the emf when a coil of 100 turns is subjected to a flux rate of 0.3 tesla/sec. a) 3 b) 30 c) -30 d) -300
Last Answer : c) -30
Description : Calculate the electric field intensity of a line charge of length 2m and potential 24V. a) 24 b) 12 c) 0.083 d) 12.67
Description : Calculate the capacitance of two parallel plates of area 2 units separated by a distance of 0.2m in air(in picofarad) a) 8.84 b) 88.4 c) 884.1 d) 0.884
Last Answer : b) 88.4
Description : Calculate the polarisation vector of the material which has 100 dipoles per unit volume in a volume of 2 units. a) 200 b) 50 c) 400 d) 0.02
Last Answer : a) 200
Description : Calculate the displacement current density when the electric flux density is 20sin 0.5t. a) 10sin 0.5t b) 10cos 0.5t c) 20sin 2t d) 20cos 2t
Last Answer : b) 10cos 0.5t
Description : Calculate the convection current when electron density of 200 units is travelling at a speed of 12m/s. a) 16.67 b) 2400 c) 2880 d) 0.0
Last Answer : b) 2400
Description : The bound charge density and free charge density are 12 and 6 units respectively. Calculate the susceptibility. a) 1 b) 0 c) 2 d) 72
Last Answer : c) 2
Description : Calculate the dipole moment of a dipole with equal charges 2C and -2C separated by a distance of 2cm. a) 0.02 b) 0.04 c) 0.06 d) 0.08
Last Answer : b) 0.04
Description : Given E = 40xyi + 20x 2 j + 2k. Calculate the potential between two points (1,-1,0) and (2,1,3). a) 105 b) 106 c) 107 d) 108
Last Answer : b) 106