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Chapter 2. Coordinate Systems > MULTIPLE-CHOICE QUESTIONS

MULTIPLE-CHOICE QUESTIONS

  1. In a Cartesian coordinate system, axes x, y and z are at __________ to each other.

    1. 45°

    2. 90°

    3. 120°

    4. 180°

  2. Cartesian coordinates are represented in terms of ___________.

    1. (r, φ, z)

    2. (r, θ, φ)

    3. (x, y, z)

    4. all of these

  3. Cylindrical coordinates are represented in terms of ____________.

    1. (r, φ, z)

    2. (r, θ, φ)

    3. (x, y, z)

    4. all of these

  4. Spherical coordinates are represented in terms of ___________.

    1. (r, φ, z)

    2. (r, θ, φ)

    3. (x, y, z)

    4. all of these

  5. In Cylindrical coordinate systems, unit vector is __________.

    1. directed outwards radially

    2. normal to cylindrical surface at a point

    3. both (a) and (b)

    4. none of these

  6. Unit vector is at ________ to φ = constant plane.

    1. 90°

    2. 180°

    3. 270°

    4. 360°

  7. Cylindrical coordinate 'r' is related to the Cartesian coordinate as __________.

    1. (x, y)

    2. (x + y)

    3. (x2/y2)

    4. (x2 + y2)1/2

  8. Cylindrical coordinate 'z' is related to the Cartesian coordinate as __________.

    1. tan−1(y/x)

    2. z

    3. xy/z

    4. cot z

  9. Dot multiplication is equal to __________.

    1. sin φ

    2. cos φ

    3. −sin φ

    4. −cos φ

  10. In a Spherical coordinate system, φ is ____________.

    1. angle of elevation

    2. azimuthal angle

    3. distant from the origin to the point

    4. all of these

  11. Spherical coordinate system is a _________.

    1. right-handed syste.

    2. left-handed system

    3. both (a)and (b)

    4. none of these

  12. Cross product is equal to _____________.

    1. 1

    2. 0

  13. In a Spherical coordinate system, φ is given as _________.

    1. y/x

    2. x/y

    3. tan−1(y/x)

    4. tan−1(x/y)

  14. In a Spherical coordinate system, r is given as ___________.

    1. (x + y + z)

    2. (x2 + y2 + z2)

    3. (x2 + y2 + z2)1/2

  15. Dot product is equal to ____________.

    1. 1

    2. 0

  16. For transformation from the Cartesian coordinate system to Spherical coordinate system, should be equal to ____________.

    1. cos θ

    2. − cos θ

    3. sin θ

    4. − sin θ

  17. In terms of Spherical coordinate system variables, y of Cartesian coordinate system is given as __________.

    1. r sin θ cos φ

    2. r sin θ sin φ

    3. r cos θ sin φ

    4. r cos θ cos φ

  18. In a Spherical coordinate system, unit vector is perpendicular to the shifted ________ plane.

    1. xy

    2. yz

    3. xz

    4. none of these

  19. In the Cylindrical coordinate system, z ranges between ____________.

    1. 0 and 1

    2. −∞ and 0

    3. 0 and −∞

    4. −∞ and ∞

  20. In the Cylindrical coordinate system, φ ranges from _____________.

    1. 0 to less than π

    2. 0 to less than 2π

    3. 0 to less than 3π

    4. 0 to less than 4π


  

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