
Understanding Divergence in Vector Fields

Interactive Video
•
Mathematics, Physics, Science
•
10th - 12th Grade
•
Hard

Mia Campbell
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the components of the vector field V of XY?
x^2 and y^2
x * y and y^2 - x^2
x + y and y - x
x^2 - y^2 and x * y
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the formula for computing the divergence of a vector field?
Sum of the components
Difference of the components
Partial derivative of the first component with respect to x plus partial derivative of the second component with respect to y
Product of the components
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When computing the divergence, what is the partial derivative of the first component with respect to x?
y^2
x
x^2
y
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the divergence depend on in the given vector field?
Neither X nor Y values
Y value
X value
Both X and Y values
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the divergence when Y equals zero?
Positive
Negative
Zero
Undefined
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the fluid flow when Y is positive?
Fluid converges
Fluid diverges
Fluid remains static
Fluid oscillates
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the expected divergence when Y is negative?
Undefined
Positive
Negative
Zero
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