IIT JAM Exam > IIT JAM Tests > Vector Calculus MSQ - IIT JAM MCQ
Vector Calculus MSQ - IIT JAM MCQ
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10 Questions MCQ Test - Vector Calculus MSQ
Vector Calculus MSQ for IIT JAM 2024 is part of IIT JAM preparation. The Vector Calculus MSQ questions and answers have been prepared
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*Multiple options can be correct
Vector Calculus MSQ - Question 1
Evaluate 
where S is the cylinder x2 + y2 = 1 bounded by the planes z = 0 and z = 1 and r is the distance between a point on the surface and the origin.
where S is the cylinder x2 + y2 = 1 bounded by the planes z = 0 and z = 1 and r is the distance between a point on the surface and the origin.
Detailed Solution for Vector Calculus MSQ - Question 1
*Multiple options can be correct
Vector Calculus MSQ - Question 2
Evaluate the line integral 
where 
and C is the curve in xy–plane consisting curve C1: straight lines from (0, 0) to (1, 0) and curve C2: straight line from (1, 0) to (3, 4)
where and C is the curve in xy–plane consisting curve C1: straight lines from (0, 0) to (1, 0) and curve C2: straight line from (1, 0) to (3, 4)
Detailed Solution for Vector Calculus MSQ - Question 2
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*Multiple options can be correct
Detailed Solution for Vector Calculus MSQ - Question 3
*Multiple options can be correct
Detailed Solution for Vector Calculus MSQ - Question 4
*Multiple options can be correct
Vector Calculus MSQ - Question 5
Evaluate 
where 
where C is the boundary of the triangle with vertices at (0, 0, 0), (1, 0, 0), (1, 1, 0) oriented counter clockwise.
Detailed Solution for Vector Calculus MSQ - Question 5
*Multiple options can be correct
Detailed Solution for Vector Calculus MSQ - Question 6
is said to be conservative iff 
is conservative field, 
is not conservative field*Multiple options can be correct
Vector Calculus MSQ - Question 7
If C is a smooth curve in R3 from path joining (–1, 0, 1) to (1, 1, –1), then the value of 
(3x2y + z)dx + (x3 + 4y3z)dy + (x + y4)dz is :
Detailed Solution for Vector Calculus MSQ - Question 7
where
is conservative
where
*Multiple options can be correct
Vector Calculus MSQ - Question 8
What is the divergence of the vector fieldat the point (1, 2, 3).
Detailed Solution for Vector Calculus MSQ - Question 8
*Multiple options can be correct
Vector Calculus MSQ - Question 9
Which of the following statement(s) is(are) true about function 
Detailed Solution for Vector Calculus MSQ - Question 9
is conservative
is non-conservative field.
is conservative field, 
is non-conservative field*Multiple options can be correct
Vector Calculus MSQ - Question 10
Evaluate 
over the entire surface of the region above xy–plane bounded by the cone z2 = x2 + y2 and the plane z = 4 if 
Detailed Solution for Vector Calculus MSQ - Question 10
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