1.
TI
ME
-
90
mi
nu
tes
Ge
ne
ral
Ins
tru
cti
on
-:
......,,-
._,,~..
.,
CL
AS
s-x
i
th
M.
M.
:
50
.
(
1)
The
que
stio
n
pap
er
con
tain
s
thre
e
sec
tion
s.
Att
emp
t
all
the
que
stio
ns
of
eac
h
sec
tion
car
efu
y.
(2)
Sec
tion
A
has
16
que
stio
ns,
Sec
tion
B
has
6
que
stio
ns
and
Sec
tion
C
has
thre
e
que
stio
ns.
(3)
All
que
stio
ns
carr
y
equ
al
mar
ks
and
the
re
is
No
Neg
ativ
e
mar
kin
g.
SE
CT
IO
N
(A)
QI
.
[
ML
2
T
3
]
is
the
dim
ens
ion
al
rep
res
ent
atio
n
of
(a)
Int
ens
ity
(c)
To
rqu
e
Q2
.
On
e
Par
sec
equ
als
(a)
2.3
6
lig
ht
yea
r
·
(
c
)2.
63
lig
hty
ear
,
(b)
Pow
er
(
d)
Mo
me
nt
of
mo
me
ntu
m
,
.
(b)
3
.26
lig
ht
yea
r
(d)
3.6
2
lig
ht
yea
r
Q3
.
If
for
ce,
vel
oci
ty
and
acc
ele
rati
on
i.e
F,
V
and
A
are
tak
en
as
the
fun
dam
ent
al
uni
ts;
the
n
[FV
A-
1
J
.
rep
res
ent
s
_
.
_
•
(a)
Fo
rce
(c)
ene
rgy
Q4
.
N
kg·
1
is
the
unit
of
(a)
Ve
loc
ity
(
c.)
acc
ele
rat
ion
(b)
pow
er
_
{
(d)
im
pul
se
V
:..-
(b)
for
ce
;
(
d)
im
pul
se
QS
.
Th
e
uni
t
of
ang
ula
r
acc
ele
rat
ion
in
the
SI
sys
tem
is
(a)
N
kg"
1
~,
i
~
(b)
ms
-
2
1
,-
(c)
rad
s-
2
/
(d)
Nm
kg-
1
C=-
,?-.
>
Q6
.
An
ob
jec
t
is
pro
jec
ted
upw
ard
s
wit
h
a
vel
oci
ty,e
f
l
00
ms·
1
•
It
wil
l
stri
ke
the
gro
und
in
app
rox
ima
(a)
10
s
(c)
15
s
.
~.;
-
(b)
20
s
(d)
25
s
Q7
.
If
P
=
2i
+
3j
-
k
and
Q=
4i
+
6j
-
2k,
then
the
ang
le
betw
een
P
and
Q
will
be
J,
:J~
.
r,
½,
(a)
0°
(b)
45°
I
(c)
.60
°
(d)
90°
1~
f

2.
J'
Cl
~~
,(
.
.
~-~
Q8.
The
magnitu
de
of
the
resultant
of
two
forces
1s
equal
.
.
~
.
to
that
f
.
two
forces
1s
O
either
of
the
forces.
The
angle
between
(a)
60°
I
/{
(b)
90°
f
~
'
(c)
120°
(d)
135°
Q9.
Let
0
and
~
be
the
two
angles
of
projectio
n
for
Which
the
horizonta
l
range
is
R.
Then
(0+~)
is
equal
to
(a)
0°
<
(c)
90°
i
(b)
60°
(d)
180°
QlO.
A
cricket
ball
is
hit
at
45°
to
the
horizonta
l,
imparting
it
a
kinetic
energy
K.
Then
kinetic
energy
at
the
highest
point
is
·
(a)
K
(c)
K/-./2
(b)
K/2
/{d)
zero
Qll.
The
path
of
one
projectile
as
seen
from
another
projectile
is
a/an
(a)
Straight
line
(c)
ellipse
~
(b)
parabola
(d)
circle
Q12.
A
bullet
of
mass
200
g
is
fired
with
a
velocity
30
rris·
1
from
a
gun
of
mass
100
kg.
The
recoil
velocity
of
the
gun
1s
(a)
5
ms·
1
(b)
10
ms·
1
;-
(c)
0.06
ms·
1
(
d)
none
of
these
Ql3.
A
raindrop
of
mass
0.1
g
is
falling
with
a
constant
speed
of
10
cm
s·
1
•
What
is
the
magnitud
e.of
the
net
_
force
acting
on
the
drop?
(given:
g=
10
ms·
2
)
.,
~
o
(a)
Zero
~
(
C)
1
X
I
0-
5
N
(b)
1
X
10·
3
N
.
:
f
(d)
1
X
10-
4
N
Ql
4.
A
particle
moves
in
a
circle
of
radius
30
cm
with
a
constant
speed
of
6
ms·
1
•
Its
accelerati
on
is
4-
..
(a)
Zero
·
(b)
20
ms·
2
()
c,
;:;.
}{
~:,
;ft
:::
J
'f."
)
(c)
10.8
ms·
2
Q15.
The
ratio
of
the
S.l
.
unit
to
the
C.G.S.
unit
of
'force
is
,,,
(a)
10s
(c)
10
7
Q
16.
The
rate
of
change
of
momentu
m
is
called
(a)
Force
(
c)
angular
momentu
m
•
.(d)
120
ms·
2
(b)
10-
5
(d)
10·
1
o/5),
Jo
,.
(b)
moment
of
force
(
d)
none
of
these
~
I
,
~
----
v?~
~
:b
'
(j"
,;_..
~
fa

3.
1~ each question, a state ~TION (B) .
g1venjust belo . . _
ment ofAssertion (A . .
wit. Of the statements m k,....,) Is given and a correspondmg statement of R
(a) If both A d R ' ar the correct answer as: eason (R) is
(b) If both A an are true and R is the . .
(c) If . and Rare true but R . correct explanat10n ofA.
(d) If:is true but Ris false. is not the correct explanation of A.
oth A and R are false. .
Ql7. Assertion (A) An .
· error in the m
• o
e
. . easurement ofradius ofthe sphere.is 0.3 ¼. The permissible
rror m its s rf:
.
u ace area is 0.6 %.
Reason (R) T
·
( /
· he Pennissible .
error 1s calculated by the formula
Ql8. Assertion (A) B . AAI.A. = 4Ar/r
. oth hght year and
year are ·t f .
Reason (R) B . um s o time.
· oth hght year and
A~
Q19. Assertion (A) year have dimensional formula [ MoLoT ]. rJ. /
· A body c h .
an ave acceleration .f.t . .
Reason (R) A b . even i i s velocity is zero at a given instant oftime.
. ody is momentarily at . . .
Q20 A .
rest when it.reverses its direction of m f C.. "
. ssert1on (A) A b d .
o 10n. :/
. o y moving on a circular path may or may not have ace l .
Reaso (R) .
e eration.
n · In uniform circular f h · · ~
centripetal acceleration. mo ion, t e tangential acceleration acceleration dominates '7
Q21.
Assertion (A). It is easier to pull a heavy obiect than to push i·t on 1 1
J
a eve gound.
Reason (R). The magnitude of frictional force depends on the natur f th f0 ;>
contact.
e O e two surfaces m
Q22. Assertion (A). Newton's first law is the real law ofmotion.
Reason (R). The first law and the second law are contained in the third law. d)
SECTION {C)
CASE SllUDY
I
Read the passage given below and answer the following questions:
C. J
Newton built on the foundations so well laid by Galileo. His further studies led to the formulation of
three fundamental laws known after his name as Newton's laws of motion.
When an object is thrown from a certain height, the gravitational pull of the earth helps it to develop
acceleration. The acceleration increases as the object advances towards the earth. According to
Newton's second law of motion, the acceleration developed by a body is directly proportional to the
force. When the object hits the ground, the impact force comes into action. This is the reason why a
brittle object thrown from a tall building suffers more deformity than the situation where the same object
is thrown from a comparatively shorter building.

4.
Q23.
What
causes
the
motion
of
a
body
which
is
initially
in
the
state
of
rest?
_
/
;/
(a)
Force
(c)
Speed
~
(b)
Displacement
(
d)
Velocity
...
,
...........
"
'
Q24.
A
body
of
mass
2
_
Kg
is
moving
with
an
acceleration
of
SO
cm
s-
2
•
Calculate
the
force
acting
on
it.
,//~
(a)
1
N
(c)3N
(b)2
N
.
~
(d)
100
N
~
Q25.
A
Force
F
=
1
Oi
-
6j
+
8k
N
produces
an
acceleration
of
1
ms-
2
in
a
body
of
~ass
m.
Calculate
m.
(a)_
12.12
kg
Jc)
14.14
kg
(b)
12.14
kg
(
d)
none
of
these