Chapter 3 Vector Calculus MCQs 13 min Score: 0 Attempted: 0/13 Subscribe 1. . In Cartesian coordinate system, differential volume (dv) = (A) dy dz ax (B) dx dz ay (C) dx dy az (D) dxdydzShow All Answers 2. . In Cartesian coordinate system, ds along az will be (A) dy dz ax (B) dx dz ay (C) dx dy az (D) dxdydzShow All Answers 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 dzShow All Answers 4. . In Spherical coordinate system, ds along aϕ will be (A) dr r sin θ dϕ (B) 0 (C) dr r dθ aϕ (D) 0Show All Answers 5. . The curl of a vector A is written as (A) ∇ × A (B) ∇V (C) ∇ · A (D) ∇²VShow All Answers 6. . The Laplacian of a scalar V is written as (A) ∇ × A (B) ∇V (C) ∇ · A (D) ∇²VShow All Answers 7. . The Gradient of a scalar V is written as (A) ∇ × A (B) ∇V (C) ∇ · A (D) ∇²VShow All Answers 8. . The Del operator is called as (A) Gradient (B) Curl (C) Divergence (D) Vector differential operatorShow All Answers 9. . The relationship between potential and field strength is given by (A) Gradient (B) Divergence (C) Curl (D) Del operatorShow All Answers 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 unityShow All Answers 11. . The magnetic field intensity is said to be (A) Divergent (B) Curl free (C) Solenoidal (D) RotationalShow All Answers 12. . The Stoke’s theorem uses which of the following operation? (A) Divergence (B) Gradient (C) Laplacian (D) CurlShow All Answers 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 functionShow All Answers
