Vector Calculus MSQ - Physics MCQ

# Vector Calculus MSQ - Physics MCQ

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

Vector Calculus MSQ for Physics 2024 is part of Topic wise Tests for IIT JAM Physics preparation. The Vector Calculus MSQ questions and answers have been prepared according to the Physics exam syllabus.The Vector Calculus MSQ MCQs are made for Physics 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Vector Calculus MSQ below.
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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.

Detailed Solution for Vector Calculus MSQ - Question 1

S be the surface of cylinder

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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)

Detailed Solution for Vector Calculus MSQ - Question 2

y = 2x – 2
along C1 : y = 0  ⇒ dy = 0

On C1y = 0, dy = 0

On C2: y = 2x–2, dy = 2dx

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Vector Calculus MSQ - Question 3

### Which of the following statements is(are) not true?

Detailed Solution for Vector Calculus MSQ - Question 3

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Vector Calculus MSQ - Question 4

Which of the following statements is(are) true

Detailed Solution for Vector Calculus MSQ - Question 4

The correct answers are: Divergence of vector function gives scalar function

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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

normal to S

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Vector Calculus MSQ - Question 6

Which of the following statements is(are) true

Detailed Solution for Vector Calculus MSQ - Question 6

A field  is said to be conservative iff

The correct answers are:  is conservative field,  is not conservative field

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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

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)

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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

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Vector Calculus MSQ - Question 9

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

Detailed Solution for Vector Calculus MSQ - Question 9

F is conservative if

So,  is conservative

So,  is non-conservative field.

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

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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

S = x2 + y2 – z2 = const

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