Free Printable BSC 1st -Quiz 1

1.

The cartisian system is also called as

a)

circular co-ordinate system

b)

rectangular co-ordinate system

c)

spherical co-ordinate system

d)

space co-ordinate system

2.

The volume of the parallelepiped in Cartesian is

a)

dv = dxdydz

b)

dv= dx dy

c)

dv=dydz

d)

dv=dxdz

3.

The microscopic circulation is captured by the ______________

a)

flux

b)

divergence

c)

curl

d)

boundary curve

4.

Stokes’ theorem is an equality relationship between _____________________________.

a)

double integrals and surface integrals with the curl of vector field involved.

b)

surface integrals and line integrals with the curl of vector field involved.

c)

two-dimensional integrals and three-dimensional integrals of field.

d)

double integrals and line integrals over a plane boundary curve.

5.

Based on Stokes’ theorem, we can use
$\int\int_S^{ }\ curl\ \overrightarrow{F}\cdot\overrightarrow{n}\ dS$ to obtain work done of $\overrightarrow{F}$ that moves along a boundary curve C of a three-dimension surface S.

a)

True, because work done can be find using $\int_C^{ }\ \overrightarrow{F}\cdot d\overrightarrow{r}$ .

b)

False, because work done only can be find using $\int_C^{ }\ \overrightarrow{F}\cdot d\overrightarrow{r}$ .

6.

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

7.

The del operator is called as

a)

a) Gradient

b)

b) Curl

c)

c) Divergence

d)

d) Vector differential operator

8.

A vector is said to be solenoidal when its

a)

a) Divergence is zero

b)

b) Divergence is unity

c)

c) Curl is zero

d)

d) Curl is unity

9.

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

10.

When a vector is irrotational, which condition holds good?

a)

a)Stoke’s theorem gives non-zero value

b)

b) Stoke’s theorem gives zero value

c)

c) Divergence theorem is invalid

d)

d) Divergence theorem is valid

11.

The Cartesian coordinates can be related to cylindrical coordinates and spherical coordinates. State True/False.

a)

True

b)

False

12.

Find the Cartesian coordinates of B(4,25⁰,120⁰)

a)

a) (0.845, 1.462, 3.625)

b)

b) (-0.845, 1.462, 3.625)

c)

c) (-8.45, 2.462, 6.325)

d)

d) (8.45, 2.462, 6.325)

13.

The Gauss divergence theorem converts

a)

a) line to surface integral

b)

b) line to volume integral

c)

c) surface to line integral

d)

d) surface to volume integral

14.

Find the Gauss value for a position vector in Cartesian system from the origin to one unit in three dimensions.

a)

0

b)

3

c)

-3

d)

1

15.

The Stoke’s theorem can be used to find which of the following?

a)

a) Area enclosed by a function in the given region

b)

b) Volume enclosed by a function in the given region

c)

c) Linear distance

d)

d) Curl of the function

16.

The volume integral is three dimensional. State True/False

a)

True

b)

False

17.

Using volume integral, which quantity can be calculated?

a)

a) area of cube

b)

b) area of cuboid

c)

c) volume of cube

d)

d) distance of vector

18.

which is the scalar quantity

a)

force

b)

volume

c)

torque

d)

none of these

19.

which of the following is a vector quantity

a)

Electric potential

b)

Electric charge

c)

Electric field intensity

d)

all of the above

20.

When two vectors are perpendicular, their

a)

a) Dot product is zero

b)

b) Cross product is zero

c)

c) Both are zero

d)

d) Both are not necessarily zero

21.

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

a)

a) Divergence

b)

b) Gradient

c)

c) Curl

d)

d) Laplacian

22.

Divergence theorem is based on

a)

a) Gauss law

b)

b) Stoke’s law

c)

c) Ampere law

d)

d) Lenz law

23.

Line integral is used to calculate

a)

a) Force

b)

b) Area

c)

c) Volume

d)

d) Length

24.

Surface integral is used to compute

a)

a) Surface

b)

b) Area

c)

c) Volume

d)

d) density

BSC 1st -Quiz 1

Total questions: 24

Worksheet time: 23mins

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