Volume Integral MCQ

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

• Compute the charge enclosed by a cube of 2m each edge centered at the origin and with the edges parallel to the axes. Given D = 10y3/3 j.
  ক

  20

  খ

  70/3

  গ

  80/3

  ঘ

  30
• Using volume integral, which quantity can be calculated?
  ক

  area of cube

  খ

  area of cuboid

  গ

  volume of cube

  ঘ

  distance of vector
• Compute the Gauss law for D = 10ρ3/4 i, in cylindrical coordinates with ρ = 4m, z = 0 and z = 5, hence find charge using volume integral.
  ক

  6100 π

  খ

  6200 π

  গ

  6300 π

  ঘ

  6400 π
• Compute divergence theorem for D = 5r2/4 i in spherical coordinates between r = 1 and r = 2 in volume integral.
  ক

  80 π

  খ

  5 π

  গ

  75 π

  ঘ

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

  600

  খ

  588.9

  গ

  577.8

  ঘ

  599.7
• Find the charged enclosed by a sphere of charge density ρ and radius a.
  ক

  ρ (4πa2)

  খ

  ρ(4πa3/3)

  গ

  ρ(2πa2)

  ঘ

  ρ(2πa3/3)
• The volume integral is three dimensional. State True/False
  ক

  True

  খ

  False
• The triple integral is used to compute volume. State True/False
  ক

  True

  খ

  False
• The divergence theorem converts
  ক

  Line to surface integral

  খ

  Surface to volume integral

  গ

  Volume to line integral

  ঘ

  Surface to line integral