Surface Integral MCQ

Test your knowledge with important Surface Integral MCQ and their applications. These MCQs are beneficial for competitive exams too. Explore 30 + more Surface Integral MCQs at Bissoy

• If D = 2xy i + 3yz j + 4xz k, how much flux passes through x = 3 plane for which -1<y<2 and 0<z<4?
  ক

  12

  খ

  24

  গ

  36

  ঘ

  48
• Find the value of divergence theorem for the field D = 2xy i + x2 j for the rectangular parallelepiped given by x = 0 and 1, y = 0 and 2, z = 0 and 3.
  ক

  10

  খ

  12

  গ

  14

  ঘ

  16
• The ultimate result of the divergence theorem evaluates which one of the following?
  ক

  Field intensity

  খ

  Field density

  গ

  Potential

  ঘ

  Charge and flux
• Find the value of divergence theorem for A = xy2 i + y3 j + y2z k for a cuboid given by 0<x<1, 0<y<1 and 0<z<1.
  ক

  1

  খ

  4/3

  গ

  5/3

  ঘ

  2
• Compute divergence theorem for D= 5r2/4 i in spherical coordinates between r=1 and r=2.
  ক

  80π

  খ

  5π

  গ

  75π

  ঘ

  85π
• Compute the Gauss law for D= 10ρ3/4 i, in cylindrical coordinates with ρ= 4m, z=0 and z=5.
  ক

  6100 π

  খ

  6200 π

  গ

  6300 π

  ঘ

  6400 π
• Evaluate Gauss law for D = 5r2/4 i in spherical coordinates with r = 4m and θ = π/2.
  ক

  600

  খ

  599.8

  গ

  588.9

  ঘ

  577.8
• Coulomb’s law can be derived from Gauss law. State True/ False
  ক

  True

  খ

  False
• Surface integral is used to compute
  ক

  Surface

  খ

  Area

  গ

  Volume

  ঘ

  density
• Gauss law for electric field uses surface integral. State True/False
  ক

  True

  খ

  False