Free Printable internal assessment

1.

Which of the following is a scalar quantity?

a)

a) Acceleration

b)

b) Electric Field

c)

c) Work

d)

d) Displacement

2.

Which of the following is a vector?

a)

a) Surface Tension

b)

b) Moment of Inertia

c)

c) Pressure

d)

d) None of the above

3.

Which of the following conditions are sufficient and essential for a quantity to be a vector?

a)

a) Magnitude, direction, and addition, subtraction and multiplication by vector laws

b)

b) Magnitude, direction and combination of vectors by ordinary rules of algebra

c)

c) Magnitude and addition, subtraction, multiplication by ordinary rules of algebra

d)

d) Magnitude and direction

4.

which one of the following is correct?

a)

a) $\left(A\times B\right)=\left(B\times A\right)$

b)

b) $\left(A\times B\right)=-\left(B\times A\right)$

c)

c) $\left(A\times B\right)=\left(B\cdot A\right)$

d)

d) None

5.

A vector field with a vanishing curl is called as __________

a)

a) Irrotational

b)

b) Solenoidal

c)

c) Rotational

d)

d) Cycloidal

6.

A vector field which has a vanishing divergence is called as ____________

a)

a) Irrotational field

b)

b) Solenoidal field

c)

c) Rotational field

d)

d) Hemispheroidal field

7.

Divergence and Curl of a vector field are ___________

a)

a) Scalar & Scalar

b)

b) Scalar & Vector

c)

c) Vector & Vector

d)

d) Vector & Scalar

8.

Divergence theorem is applicable for

a)

a) static field only

b)

b) time varying fields only

c)

c) both static and time varying field

d)

d) electric fields only

9.

Gauss Divergence theorem transforms

a)

a) the surface integral into volume integral

b)

b) the volume integral into surface integral

c)

c) the surface integral into line integral

d)

d) None of these

10.

Stoke’s theorem transforms

a)

the surface integral into volume integral

b)

the volume integral into surface integral

c)

the surface integral into line integral

d)

None of these

11.

Green's theorem is used to

a)

transform the line integral in xy - plane to a surface integral on the same xy - plane.

b)

transform double integrals into triple integral in a region

c)

transform surface integral into line integral.

d)

None of these

12.

The value of curl f if f is conservative vector field

a)

1

b)

0

c)

2

d)

none of the above

13.

If $\phi$ is a scalar valued function then $\nabla\phi$ is _______

a)

scalar Valued Function

b)

Vector valued function

14.

The maximum value of the directional derivative takes place in the direction of ∇Φ and its magnitude is

a)

$\left|\nabla\Phi\right|$

b)

$\left|\nabla^2\Phi\right|$

c)

$\left|\sqrt{\nabla\Phi}\right|$

d)

$\nabla\Phi$

15.

curl grad $\phi$ =

a)

1

b)

0

c)

-1

d)

infinity

16.

Calculate the magnitude of gradient of a scalar function $\phi\left(x,y.z\right)=2x^2+5y+z$ at point (1,1.1)

a)

8

b)

10

c)

9

d)

none of these

17.

The Directional derivative of $\phi=xyz$ at a point (1, 1, 1) in the direction of i is

a)

1

b)

0

c)

-1

d)

infinity

18.

Three points (2, -1, 3), (3, – 5, 1) and (-1, 11, 9) are

a)

Non-collinear

b)

Non-coplanar

c)

Collinear

d)

None of these

19.

A particle moves from a point (3, -4, -2) meter to another point (5, -6, 2) meter under the influence of a force $f=-3i+4j+4k$ . calculate work done by force.

a)

2

b)

8

c)

12

d)

20

20.

If $\overrightarrow{\ r\ }$ is the position vector $\nabla.\overrightarrow{\ r\ \ }\ =$ , or div $\overrightarrow{\ r\ }$ =

a)

3

b)

1

c)

2

d)

$\overrightarrow{\ r\ }$

21.

$\nabla\cdot\left(\nabla\times\overrightarrow{F}\right)$ What will this operation result in?

a)

Scalar function

b)

Vector function

c)

zero

d)

$\overrightarrow{\ F\ }$

22.

4. The dot product of two vectors is a scalar. The cross product of two vectors is a vector. State True/False.

a)

True

b)

False

23.

7.The Stoke’s theorem uses which of the following operation?

a)

a) Divergence

b)

b) Gradient

c)

c) Curl

d)

d) Laplacian

24.

A field has zero divergence and it has curls. The field is said to be

a)

a) Divergent, rotational

b)

b) Solenoidal, rotational

c)

c) Solenoidal, irrotational

d)

d) Divergent, irrotational

25.

$\nabla.\overrightarrow{\ r\ \ }\ =x\ \overline{i}\ +y\ \overline{i}\ +z\ \overline{k}$ , or div $\overrightarrow{\ r\ }$ =

a)

3

b)

1

c)

2

d)

$\overrightarrow{\ r\ }$

26.

curl of a vector means

a)

vorticity or rotation of a scalar

b)

vorticity or rotation of a vector

c)

rotation of a scalar or vector

d)

rotation of any object

27.

Surface integral of curl of a vector is connected with its line integral through

a)

Green's theorem

b)

Stoke's theorem

c)

Guass's theorem

d)

Laplace's theorem

28.

The maximum rate of change of a scalar field F in space is given by

a)

The magnitude of the gradient of the field F

b)

The magnitude of the divergence of the field F

c)

The magnitude of the curl of the field F

d)

none

internal assessment

Total questions: 28

Worksheet time: 36mins

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