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Title
Gradient of a function is a constant. State True/False

Gradient of a function is a constant. State True/False.

  1. true
  2. false
discuss
The mathematical perception of the gradient is said to be

The mathematical perception of the gradient is said to be

  1. tangent
  2. chord
  3. slope
  4. arc
discuss
Divergence of gradient of a vector function is equivalent to

Divergence of gradient of a vector function is equivalent to

  1. laplacian operation
  2. curl operation
  3. double gradient operation
  4. null vector
discuss
Curl of gradient of a vector is

Curl of gradient of a vector is

  1. unity
  2. zero
  3. null vector
  4. depends on the constants of the vector
discuss
Find the gradient of the function given by, x2 + y2 + z2 at (1,1,1)

Find the gradient of the function given by, x2 + y2 + z2 at (1,1,1)

  1. i + j + k
  2. 2i + 2j + 2k
  3. 2xi + 2yj + 2zk
  4. D.
discuss
Find the gradient of the function sin x + cos y

Find the gradient of the function sin x + cos y.

  1. cos x i – sin y j
  2. cos x i + sin y j
  3. sin x i – cos y j
  4. sin x i + cos y j
discuss
The gradient can be replaced by which of the following?

The gradient can be replaced by which of the following?

  1. maxwell equation
  2. volume integral
  3. differential equation
  4. surface integral
discuss
The divergence of a vector is a scalar. State True/False

The divergence of a vector is a scalar. State True/False.

  1. true
  2. false
discuss
The divergence concept can be illustrated using Pascal’s law. State True/False

The divergence concept can be illustrated using Pascal’s law. State True/False

  1. true
  2. false
discuss
Compute the divergence of the vector xi + yj + zk

Compute the divergence of the vector xi + yj + zk.

  1. 0
  2. 1
  3. 2
  4. 3
discuss
Find the divergence of the vector yi + zj + xk

Find the divergence of the vector yi + zj + xk.

  1. -1
  2. 0
  3. 1
  4. 3
discuss
Find the divergence of the vector F= xe-x i + y j – xz k

Find the divergence of the vector F= xe-x i + y j – xz k

  1. (1 – x)(1 + e-x)
  2. (x – 1)(1 + e-x)
  3. (1 – x)(1 – e)
  4. (x – 1)(1 –
discuss
Find whether the vector is solenoidal, E = yz i + xz j + xy k

 Find whether the vector is solenoidal, E = yz i + xz j + xy k

  1. yes, solenoidal
  2. no, non-solenoidal
  3. solenoidal with negative divergence
  4. variable divergence
discuss
Find the divergence of the field, P = x2yz i + xz k

Find the divergence of the field, P = x2yz i + xz k

  1. xyz + 2x
  2. 2xyz + x
  3. xyz + 2z
  4. 2xyz + z
discuss
Identify the nature of the field, if the divergence is zero and curl is also zero

Identify the nature of the field, if the divergence is zero and curl is also zero.

  1. solenoidal, irrotational
  2. divergent, rotationa;
  3. solenoidal, irrotational
  4. divergent, rotational
discuss
Curl is defined as the angular velocity at every point of the vector field. State True/False

Curl is defined as the angular velocity at every point of the vector field. State True/False.

  1. true
  2. false
discuss
The curl of curl of a vector is given by,

The curl of curl of a vector is given by,

  1. div(grad v) – (del)2v
  2. grad(div v) – (del)2v
  3. (del)2v – div(grad v)
  4. (del)2v – grad(div v)
discuss
Which of the following theorem use the curl operation?

Which of the following theorem use the curl operation?

  1. green’s theorem
  2. gauss divergence theorem
  3. stoke’s theorem
  4. maxwell equation
discuss
Is the vector is irrotational. E = yz i + xz j + xy k

Is the vector is irrotational. E = yz i + xz j + xy k

  1. yes
  2. no
discuss
The curl of a curl of a vector gives a

The curl of a curl of a vector gives a

  1. scalar
  2. vector
  3. zero value
  4. non zero value
discuss
total MCQs: 608

MCQs

608

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Points

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