Q.1
The area of sphere can be computed from the sphere volume. State True/False.
  • a) True
  • b) False
Q.2
Convert the point (3,4,from Cartesian to spherical coordinates
  • a) (7.07,45⁰,53⁰)
  • b) (0.707,45⁰,53⁰)
  • c) (7.07,54⁰,63⁰)
  • d) (0.707,54⁰,63⁰)
Q.3
Example of spherical system in the following is
  • a) Charge in space
  • b) Charge in box
  • c) Charge in dielectric
  • d) Uncharged system
Q.4
Spherical systems are employed in waveguides. State True/False
  • a) True
  • b) False
Q.5
Choose which of following condition is not required for a waveguide to exist.
  • a) The dimensions should be in accordance with desired frequency
  • b) Cut-off frequency should be minimum 6GHz
  • c) The shape should be spherical
  • d) No specific condition is required for waveguide design
Q.6
Find the spherical coordinates of A(2,3,-1)
  • a) (3.74, 105.5⁰, 56.13⁰)
  • b) (3.74, 105.5⁰, 56.31⁰)
  • c) (3.74, 106.5⁰, 56.13⁰)
  • d) (3.74, 106.5⁰, 56.31⁰)
Q.7
Find the Cartesian coordinates of B(4,25⁰,120⁰)
  • a) (0.845, 1.462, 3.625)
  • b) (-0.845, 1.462, 3.625)
  • c) (-8.45, 2.462, 6.325)
  • d) (8.45, 2.462, 6.325)
Q.8
Given B= (10/r)i+( rcos θ) j+k in spherical coordinates. Find Cartesian points at (-3,4,0)
  • a) -2i + j
  • b) 2i + k
  • c) i + 2j
  • d) –i – 2k
Q.9
The scalar factor of spherical coordinates is
  • a) 1, r, r sin θ
  • b) 1, r, r
  • c) r, r, 1
  • d) r, 1, r
Q.10
Transform the vector (4,-2,-at (1,2,into spherical coordinates.
  • a) 3.197i – 2.393j + 4.472k
  • b) -3.197i + 2.393j – 4.472k
  • c) 3.197i + 2.393j + 4.472k
  • d) -3.197i – 2.393j – 4.472k
0 h : 0 m : 1 s