Spherical Coordinate Systems Quiz

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Questions and Answers

What does the radial distance 'r' represent in spherical coordinates?

  • Distance of the point from the fixed point of origin (correct)
  • Distance of the point from the x-axis
  • Distance of the point from the z-axis
  • Distance of the point from the y-axis

How is the polar angle 'θ' measured in spherical coordinates?

  • Between the x-axis and the y-axis
  • Between the y-axis and the radial line
  • Between the x-axis and the radial line
  • Between the z-axis and the radial line (correct)

What does the azimuthal angle 'φ' measure in spherical coordinates?

  • Angle between the radial line and the y-axis
  • Angle between the radial line and the x-axis
  • Angle between the radial line and the x-y plane (correct)
  • Angle between the radial line and the z-axis

Which plane is orthogonal to the z-axis in the spherical coordinate system?

<p>Reference x-y-plane (B)</p> Signup and view all the answers

What are the three numbers in a spherical coordinate system called?

<p>3-tuple (B)</p> Signup and view all the answers

What is the radial distance 'r' in a spherical coordinate system?

<p>The distance of the point from the fixed point of origin (A)</p> Signup and view all the answers

How is the polar angle 'θ' measured in spherical coordinates?

<p>Between the z-axis and the radial line (B)</p> Signup and view all the answers

What does the azimuthal angle 'φ' measure in spherical coordinates?

<p>The angle between the radial line and the x-y plane (B)</p> Signup and view all the answers

Which plane is orthogonal to the z-axis in the spherical coordinate system?

<p>The x-y plane (B)</p> Signup and view all the answers

What are the three numbers (r, θ, φ) in a spherical coordinate system collectively called?

<p>A 3-tuple (A)</p> Signup and view all the answers

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