1. . In Cartesian coordinate system, differential volume (dv) =
(A) dy dz ax
(B) dx dz ay
(C) dx dy az
(D) dxdydz
2. . In Cartesian coordinate system, ds along az will be
(A) dy dz ax
(B) dx dz ay
(C) dx dy az
(D) dxdydz
3. . In Cylindrical coordinate system, differential volume (dv) =
(A) ρ dϕ dz aρ
(B) dρ dz aϕ
(C) ρ dϕ dρ az
(D) ρ dρ dϕ dz
4. . In Spherical coordinate system, ds along aϕ will be
(A) dr r sin θ dϕ
(B) 0
(C) dr r dθ aϕ
(D) 0
5. . The curl of a vector A is written as
(A) ∇ × A
(B) ∇V
(C) ∇ · A
(D) ∇²V
6. . The Laplacian of a scalar V is written as
(A) ∇ × A
(B) ∇V
(C) ∇ · A
(D) ∇²V
7. . The Gradient of a scalar V is written as
(A) ∇ × A
(B) ∇V
(C) ∇ · A
(D) ∇²V
8. . The Del operator is called as
(A) Gradient
(B) Curl
(C) Divergence
(D) Vector differential operator
9. . The relationship between potential and field strength is given by
(A) Gradient
(B) Divergence
(C) Curl
(D) Del operator
10. . A vector is said to be solenoidal when its
(A) Divergence is zero
(B) Divergence is unity
(C) Curl is zero
(D) Curl is unity
11. . The magnetic field intensity is said to be
(A) Divergent
(B) Curl free
(C) Solenoidal
(D) Rotational
12. . The Stoke’s theorem uses which of the following operation?
(A) Divergence
(B) Gradient
(C) Laplacian
(D) Curl
13. . 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