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# Vector Calculus MSQ

## 10 Questions MCQ Test Topic wise Tests for IIT JAM Physics | Vector Calculus MSQ

Description
This mock test of Vector Calculus MSQ for IIT JAM helps you for every IIT JAM entrance exam. This contains 10 Multiple Choice Questions for IIT JAM Vector Calculus MSQ (mcq) to study with solutions a complete question bank. The solved questions answers in this Vector Calculus MSQ quiz give you a good mix of easy questions and tough questions. IIT JAM students definitely take this Vector Calculus MSQ exercise for a better result in the exam. You can find other Vector Calculus MSQ extra questions, long questions & short questions for IIT JAM on EduRev as well by searching above.
*Multiple options can be correct
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.

Solution:

S be the surface of cylinder  The correct answers are: 4.934, *Multiple options can be correct
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)

Solution: y = 2x – 2
along C1 : y = 0  ⇒ dy = 0 On C1y = 0, dy = 0 On C2: y = 2x–2, dy = 2dx The correct answers are: *Multiple options can be correct
QUESTION: 3

### Which of the following statements is(are) true.

Solution:

The correct answers are: *Multiple options can be correct
QUESTION: 4

Which of the following statements is(are) true

Solution:

The correct answers are: Divergence of vector function gives scalar function *Multiple options can be correct
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.

Solution:  normal to S       The correct answers are:  *Multiple options can be correct
QUESTION: 6

Which of the following statements is(are) true Solution:

A field is said to be conservative iff  The correct answers are: is conservative field, is not conservative field

*Multiple options can be correct
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 :

Solution:

We can check where So, is conservative where The correct answers are: I = 2, I is independent from the path joining (–1, 0, 1) to (1, 1, –1)

*Multiple options can be correct
QUESTION: 8

What is the divergence of the vector field at the point (1, 2, 3).

Solution:  *Multiple options can be correct
QUESTION: 9

Which of the following statement(s) is(are) true about function  Solution:

F is conservative if   So, is conservative So, is non-conservative field.

The correct answers are: is conservative field, is non-conservative field

*Multiple options can be correct
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 Solution:

S = x2 + y2 – z2 = const      The correct answers are: 