Curl MCQ Quiz in मल्याळम - Objective Question with Answer for Curl - സൗജന്യ PDF ഡൗൺലോഡ് ചെയ്യുക
Last updated on Apr 3, 2025
Latest Curl MCQ Objective Questions
Top Curl MCQ Objective Questions
Curl Question 1:
If ϕ(x, y, z) is a scalar homogeneous function of degree 4, then
Answer (Detailed Solution Below)
Curl Question 1 Detailed Solution
Concept:
Explanation:
If ϕ(x,y,z) is scalar homogeneous function og degree 4 and
Then,
Now,
Use,
Since,
=
Given
Now, let λ=1
Curl Question 2:
If
Is irrotational, then find the value of the product of (λ β ω).
Answer (Detailed Solution Below) -21
Curl Question 2 Detailed Solution
Curl Question 3:
Calculate curl of
Answer (Detailed Solution Below)
Curl Question 3 Detailed Solution
Concept:
Curl
Calculation:
= î (2z + 2xY) – ĵ (0 - 0) + k̂ (-2yz-2x2y)
At (1, 1, 1)
⇒ î (2 +2) + 0 ĵ + (-1 -2)k̂
= 4î - 4k̂Curl Question 4:
Vector
Answer (Detailed Solution Below)
Curl Question 4 Detailed Solution
Concept:
(i)
(ii)
(iii)
Explanation:
=
As,
Similarly,
=
=
=
Now,
Now,
=
Similarly,
⇒
Similarly,
⇒
Curl Question 5:
If a continuously differentiable vector function is the gradient of a scalar function, then its curl is
Answer (Detailed Solution Below)
Curl Question 5 Detailed Solution
Concept:
Let ϕ be a function of (x, y, z)
Then grad
curl (grad (ϕ))
curl (grad (ϕ))
curl (grad (ϕ)) = 0
Curl Question 6:
If
Answer (Detailed Solution Below)
Curl Question 6 Detailed Solution
Explanation:
If
so,
Curl Question 7:
Determine the curl (grad ϕ), where ϕ = x3 + y3 + z3 – 3xyz______
Answer (Detailed Solution Below) 0
Curl Question 7 Detailed Solution
Explanation:
Curl grad ϕ = ∇ × ∇ϕ
According to property of Nable operator (∇)
∇ × ∇ϕ = 0
Where, ϕ is a scalar quantity
Thus, curl (grad ϕ) = 0
Curl Question 8:
If
Answer (Detailed Solution Below)
Curl Question 8 Detailed Solution
Let,
Curl Question 9:
curl(grad φ) =
Answer (Detailed Solution Below)
Curl Question 9 Detailed Solution
Explanations:
The curl of the gradient of any scalar function φ is always zero. curl(grad φ) = 0
Curl Question 10:
If the vector F is irrotational, then
Answer (Detailed Solution Below)
Curl Question 10 Detailed Solution
Explanation:
If a vector F is irrotational, then curl of F will be zero i.e.
Curl of a vector