GATE AE concept:divergence PYQs & Answers

Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.

Questions 1–3 of 3. Imported answers require independent review unless marked reviewed.

Topic practice 3 questionsPage 1 of 1

is a vector field where

are the base vectors of a cartesian coordinate system.

Using the Gauss divergence theorem, the value of the outward flux of the vector field over the surface of a sphere of unit radius centered at the origin is ______ (rounded off to one decimal place).

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Consider the velocity field

. The field

Your answerChoose one option.

divergence-free and curl-free

curl-free but not divergence-free

divergence-free but not curl-free

neither divergence-free nor curl-free

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Consider a vector field given by

. This vector field is

Your answerChoose one option.

divergence-free and curl-free.

curl-free but not divergence-free.

divergence-free but not curl-free.

neither divergence-free nor curl-free.

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GATE AE concept:divergence PYQs

How to practice concept:divergence

Question 48

Question 3

Question 3