WorksheetsMechanics : Unit I
Total questions: 50
Worksheet time: 51mins
Vector is a quantity with:
magnitude and direction
magnitude
direction
none of the above
The physical quantities that follow simple laws of algebra are called ....................... physical quantities
Tensor
vector
scalar
None
The physical quantities having only magnitude but no direction are said to be .................. quantities
Scalar
vector
Tensor
Unit
Vector product is also known as dot product
True
False
The result of a scalar product is a scalar
True
False
Gauss's Divergence Theorem relates
Volume and Line Integrals
Surface and Line Integrals
Voulme and Surface Integrals
Any two integrals
We take gradient of
scalar
vector
both scalar and vector
function
we take divergence of a
scalar
vector
both scalar and vector
function
divergence of a vector means
flow of a vector
net flow of a vector over a surface
net flow of a vector from a volume element
outward flow of a vector
curl of a vector means
vorticity or rotation of a scalar
vorticity or rotation of a vector
rotation of a scalar or vector
rotation of any object
Guss's theorem of vector calculus connects
volume integral with surface integral
surface integral of divergence of a vector with volm integral of a scalar
surface integral of divergence of a vector with volm integral of the same vector
surface integral of divergence of a vector with volm integral of a different vector
Surface integral of curl of a vector is connected with its line integral through
Green's theorem
Stoke's theorem
Guass's theorem
Laplace's theorem
Physical meaning of Guss's law of electrostatics is
Net outward flux through a closed surface is equal to charge enclosed by the volume element
Net inward flux through a closed surface is equal to charge enclosed by the volume element
Net outward flux through a closed surface is equal to charge density enclosed
Net flux through a closed surface is equal to charge density enclosed
Differential form of Guass's law is
div.E=0
div.E=charge density/epsilon-0
div.E=charge/epsilon-0
div.E=charge/epsilon of medium
If a charge q is in an electric field E is
qE
qE2
q2E
q/E
Divergence and Curl of a vector field are ___________
Scalar & Scalar
Scalar & Vector
Vector & Vector
Vector & Scalar
Curl is applied on
scalar field
vector field
both of above
Scalar field is
electric filed
magnetic field
electric potential
Stokes' theorem is
surface integral of curl of vector is line integral of vector
surface integral of curl of vector is close line integral of vector
close surface integral of curl of vector is line integral of vector
surface integral vector is close line integral of of curl of vector
The divergence of curl of a vector is
0
1
The curl of gradient of a vector is
0
1
Divergence of gradient of a vector function is equivalent to
a) Laplacian operation
b) Curl operation
c) Double gradient operation
d) Null vector
When a projectile is falling, it accelerates downward. When a projectile is rising, it accelerates:
downward
upward
equally up and down
there is no acceleration
Projectile motion is defined as the motion of an object that being projected and ____________________________.
moves in space freely under the influence of gravity
moves freely under the influence of constant velocity
moves in space freely under the influence of force
moves freely under the influence of constant acceleration
Which one is the measure of how much matter an object has?
weight
gravity
mass
volume
Where will be the centre of mass of a uniform rod lies ?
At its end
At its middle point
At its centre of its cross sectional area
Depends upon its material
Center of gravity is usually located where
more weight is concentrated
less weight is concentrated
less mass is concentrated
more mass is concentrated
Center of gravity of an object depends on it's
weight
mass
density
shape
Do all objects have a centre of gravity?
No objects have a centre of gravity
Only some objects have a centre of gravity
Only very heavy objects have a centre of gravity
Yes all objects have a centre of gravity
Where is the centre of gravity of a ball?
On the outside edge of the ball
A point not touching the ball
The centre of the ball
On the top of the ball
What stops you from standing up when not leaning forward in your chair?
Gravity being too strong
The centre of gravity is moving too much
The chair putting a force on your body
The centre of gravity isn't able to shift
