### questions

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
###### 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
###### 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
4. null vector
###### 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
###### 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.
###### 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
###### 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
###### 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
###### 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
###### 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
###### 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
###### 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 –
###### 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
###### 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
###### 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
###### 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
###### The curl of curl of a vector is given by,

The curl of curl of a vector is given by,

###### 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
###### 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
###### 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

MCQs

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