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.
(A)
(DY
(C
(B)
(C)
duth il:al velocity u paallel to a unitormly
charged lat conducting plate as shown hstrikes
the plate after Iravelling a distance { along the
direction of projcction, tlhe surface charge density
(B)
of conductiy plale is cqual to
Au clectron of mass m is projccted from a distance
2ds,mu²
2/16
2dromu
(A) zero
dramu
A conducting disc of radus R rotates about its aNis
with an angular velocity o.Then the potentual
d1flerence between the centre of the dise and it
cdge is (no magnetic field is present)
cl
dEgmu
mw R
2e
D)Cm oR'
2
ALLEO
R
ASS TEST ENTHUSIAST TES82 TE1SB:
7.
6
of three
Frgure shows a system
shells A. B and C with
tadn a. 2a
and 1
earthed and shell
respectiwely. Shell B s
Space for Rough Work
(C)
acharge 0 Now ifshell is
conncctedto s
shell
shell B, i
then the final chargc on the
(A) A
(C) C
A
(B)
B
(D)
concentnc met
Consder the two large oppositely charged (same
magnitude) non-conducung plales as shown in the
dagran Atwhich of the marked ponts shown n the
diagiam would a positively charged particle Ihave the
rcatest nteraction clcctrical potentialenergy?
D.
8O
(B) B
3Q
(D)D
1S
+ + + + + +
Cis gve
cqual to
7650CJA101029230007
Eng1sn /21042023
3.
An clectton of mass m and charge c is projected as in
fieure with nital velocity u, at an angle - 45
between two charged plates. The mag1tude of the
clectnc field so that the electron Just fails to strike the
upper plate, should be greater than. (neglect gravity)
(C
mñ
ed
mu
4ed
(A) qaE
A point chargc q moves from pont P to point S
along the path PORS in a umlonn clectric ficld E
pointing parallcl to the postive duection of the
aXIS The coordinates of the ponts P, 0, R and
(B) -qaE
S are (, b, 0), (24, 0, 0). (a,-b, 0) atnd (0, 0, 0)
respeetively. The work donc by the ficld in the
above process is given bv the expression
(0. 0. O)sL
ed
(D)Infinite
(D) 3qE va' +b
ALLEN
10.
Pla, b, 0)
R(a, -b, O)
O2,0, 0)
SRG CLASS TEST
ENTHUSIAST_TESB2_TE1SB1
English 21042023
11
A
uniforn rod AB of mass m and length is hunged
at its mid point C The left halfLACiof the rod has
Iincar charge density ),- and the right halt (C3) na
t where è s constant A large non conducting
sheet ot unitorTm surface chareg density o is also
prescnt ncar the rod. Intiallv the rod is kept
pcrpendicular te the sheet The end A of the rod is
intially at adistance d Now he tod is rotated by a
snall anglc in the plane of the papcr and releascd.
The timc period of small angular osc1llations is
(C) T-21
(A d4
(C -16d
rme.
Space for Rough Work
ZmEn
Two particles of churge q, and q. are separated by
distance das shown in figure Charge 4 is situated at
the orign.The net cBeutrne ficld duc to thc particles is
zCro at x d4 WithV - 0at infin1ty, the location of
a pont n tertIS of d on the aus (other than at
infinity) at whch the ciectncal potentual due to the
Iwo particles s zero, is given bv
2m¬o
(D) no pont on thc axis
ssaC JA1o1029230007
7650CJA1i
Page 3/ 16
Topic : Current TillTaught
SECTION - I : (Maximum Marks: 80)
This section contains 20 questions. Each question ha_ 4
options for correct answer. Multiple-Choice Questions
(MCQs) Only one option is correct For cach qucstion,
marks willbe awarded as follows:
+4 1f corrcct answer is sclcctcd.
01f none of the option is selected.
Zero Marks
Negative Marks : -1Ifwrong option is selected.
FullMarks
(C)
Two fixed insulating rings A and B carry charges
with uniform linear charge density +à and -.
respectively, as shown in the adjacent figure. The
planes of the rings are parallel to cach other and
their axes are coinciding. A particle of chargc "q
and mass "m" is released with zero velocity from
centre P of the positively charged ring. The kinetic
energy of the particle when it reaches centre 0 of
the negatively charged ring will be
2.4
PART1:PHYSICS
+.
English / 21042023
R
ALLENO
|SRG CLASS TESTENTHUSIAST_TESB2_TE1SB1
(D) None of these
2.
3.
A charged particle with charce a and mass m Sta
with an initial kinctic cnerey K at the ccntre o 4
uniformly charged spherical region of total charge
Q and radius R. Charges g and Q have oppos
signs. The spherical chargcd region is not free to
move and kinetic cnergy K is iust sufficicnt for the
charge particle to reach boundary of the spherical
charge. How much time does it take the particle to
reach the boundary of the region?
(C)
4
Electric
S.L. unit
(A) 2
(C) 2.5
qQ
Space for Rough Work
4nE,mR?
the
by
given
(Ni*)NC IS present in the x-y plane. A
Small ring of mass M carrying charge +Q. which
can slide Irecly on a smooth non conducting rod, is
projected along the rod from the point (0, )such
that it can reach the other end of the rod. Assuming
here is no gravily in the region. What minimum
(B)
field
(D) Nonc of the above.
(C0)
4nF,mR3
qQ
(B) 3
D)3,5
vector
7650CJA101029230007
Page 1/16
velocity should bc given to the ring (in m/s)? If in
QEol
M
13.
. The gicxtricield iire pattetn for charges +2q& -
sre slown Selcet the most apropriate daran :
(B
D
(B) BothE and V
change
Four churges atc placed on the vertices of a Square
as shown in the tipure Let E be the clectric field
und V, the polental at the centre lf the charges at
the ponts A anl 3 are nterchanged with those at D
and C, 1espectively then
(A) Eremains unchanged but Vclhanges
(C) Eand Vrematn unchanged
ALLEN
(D) E
changes, but Vremains unchanged
SRG CLASS TEsT ENTHUSIAST TESB2 TE1SB1
Page 4/16
14. From the ficld paltern shown in
igure, idenifty .
correct statement rclated tothc
chargcs Q,
15
(A)
Q
(B) - 2
0
iD) There is no relation exist between Q, &0.
(C)
T snall balls, each Ihavng cqual positise charos
Oare suspended by twO msulating strngs of toul
length L from a hook tixed to a stand. If he who
set-up is transtered to a satellite inorbit aroundthe
earth, thc tension in cach string is cqual to
(AIzero
Space for Rough Work
25
kQ'
212
q
(B)
(D)
kQ Ig
L'
kQ
7650CJA101029239007
Engish/21042023
16
W'hen 10 clectrons are removed from
metal sphere, thc charge on sphere beconmes
(B) -16 C
(C) 32 uC
(D) -32uC
Two parlicles havung mass m und m, and chareg
d, and 4, respectively are hung by massless
threads from a pomt a shown Both particles are
m
n cquil1brium and are on same horizontal level
L0, > 0,, then choose the corrcct option.
mg
(A) m>my
B) m, m
(C)m
ALLENe
neulral
1, Cooi
SRG CLASS TEST ENTHUSIAST_TESB2_TE1SB1
English 21042023
(D) m, <
m, if gi >4 and m >m; if qi<9:
19
Wich One of the iollowine palem of electric line
ol lorce can't pussible for the icld produced by a
stalic charge
A
(C)
y-axIsg
In a space unilom electe field E- 0; N/C exis
Acceleralion due to grav1ty Is alkng negulive
Im's) Acharge particle of mass1gI
and charge I0 10C is released from LCSt at orngin.
Fquation of path along whMch t travels.
(A)yN
(Ci y 2N
R
|D)
(CI4:I
Space for Rough Work
Two sphencal cunductors A and B o radin
Imm and 2 mm are separated by a d1stance of 5 cm
and arc untlomuly charged. If the spheres ure
connccted by a conducting wire then n equilibrium
cond1tion, the rato of the magmtude of the clectrie
fields at the surfaces of spliere A and Bis
(B) y -
(D)y 2x
(B) |:4
D) L.2
7650C JA101029230007|
Page 5/16
Topic : Solid State
Full Mauks
thus scetn contans 20 questions Each qucstion has 4
nons tor correct answer Multiple-Choce Questions
(MCQS) Only onc option is correct. For cach duestion,
maks vwill he awarded as tollows:
Zeo Mlarks
Negatike AMarks
(C)
SECTION-I:Maximum Marks: 80)
(A)8
If radius of octahedral vod is & radus of atoms
which show close packng is R then thc radus ot
vod in tenns of adus of atom is -
R
(CI6
AN
+4 If corect answer S selected.
0If nonc of the option is selected
-I| wrong option Is selected
(C)
(B) 2R
R
Number of sccond ncarest ion of Zn in ZnS
structure will lbe
(D)
PART -2 CHEMISTRY
ALLENe
B) 12
(D) 4
(a is cdge lenth of unit cellh
Distance betwcen two farthest tetrahcdal vod un a
fcc unit cell will be
SRG CLASS TEST ENTHUSIAST_TESB2_TE1SB1
Page 8/16
4
Whch of the followingE SOld Is exanple
molccular solid
A) AIN
(C)C,
A eubcal lattiCe system contam two tye
narteles Aand B Particle A is tound on all cormete
of unt cell and particle His found on all face cente
then simplest formula of compound will be
(A AB;
(C) A,B,
Ir.
(C) 3
(B)Na
(D)Si0,
be (hete I, and , arc timc taken to complete
75° and S0% reaction)
- 3 for a rcaction then orde of tcaction will
(B) 6 o"
(B) A;B
|D) AB
(D) 24 10"
Space for Rough Work
Particle A form hexagonal 3-D close pack structure
then calculate number of total vods in l0 mmhgram
sample of A (molar mass of A is 100 gm/mol)
(B) 0
(D) 2
2at2R=a
3xGtxGxi0'3
8xI03
7650CJA101029230007
Engl1sh I 21042023
aked
9
:consists of a simple
Cesun iodide
|Ions With Cs ions in the cub1c holes If the cell
cdñelength is
1732A& radius of Cesium ion
/Á
thenradius of T is (V3 = 173)
(A) 09IA
(B) 067A
(C) 083 A
(D) 0 20 A
IA) 100 pn
End edge length of unit cell for an 10nic compound
00
AB If rad1us of A Is 25 pm & B is 75 pm
pm
(A) othorhomb1c
0. Fot which crystal system/s
442
(B) rhombohcdral
(CI tetragonal
(D) mooclmic
abc & T. is applicable.
(CI CN 6
(D) a-2v2r
ALLENO
cubic latt1ce of
x221
H. Seclect INCORRECT option/s for fcc crystal:
(A)Z-4
(B) PF074
217
8) 200 pm
(D)
5.)3
SRG CLASS TEST ENTHUSIAST TESB2_TE1SB1
Engl1sh /21042023
.
(6.0
1.4il4
400
-pm
24
12
13
A'B shows (ock salt typc
rrangement. Edue
Iength ofunitcell is oA 1f radus of A' is IA then
incorrect option is:
14
ADistance between neurest cations Is 3V2A
(B) Number of nearest calions fron a given catiot)
are 8
(C) Number of cations and anion each are 4 per
uil cel
(D) On remov1ng al the anions a FCC unit cell
made by A 1ons IS ubservcd
Practon of cdge length cUVered by atoms in BCC
slructuC 15 -
(A)
(C)
II solid AB exist n structure similar to NaT lype
where AAoccupy uctahedtal vods
disturbing the luttice made by B.tlien fraction of
body d1agonal length not covercd by atoms is
(B) I
(D) -
Space for Rough Work
(B
8 2A
3a
witliout
7650C JA10102923000
4n2
Page 9
24 4 7 a
17.
J6
I5. a zins blcnde stuiture of compound AB if atoms 8.
slons OC ot the body dtagonal of cubic unit cell
ae rem cd thcn the smplest formula of
CuLpeund wI be (A are present at coners of
Cube)
|A) AB
solid
C)A,, B,
Page 10/16
Whuch of the followmg is correct for RCC unt cell
(C) XY
(B) AB,
Packng fractton ef unit cell S
) N0. of atompresent per unit cellis 4
(CI I no of ncarest ncughibour and ext ncarest
teihbour are X and Y respetNely then X-1 -
(N I radius of atom is |00 pm then maxmum
drameter of atom placed n the vod without
disturbing the structurc Is 140 pm
(V3-7)
D) AB,;
A cubic cIystal1ne solid is fomed by x and y
atoms, In which atos ate prescit at fcc lattice
pont and y atoms atc present at octahedral void If
all the atoms along only one body diagonal arc
removed then calculate formula of the resulting
:4-1
:3
ALLENe
SRG CLAss TEST ENTHUSIAST_TESB2_TE1S81
4
(B) X,Y,
fresultg
(D X,6
J3
19.
29.
3
An tonic solid AB(S) Is Iike rock salt structure t.t
0) Calculate no. of unit of cell
M of AR
present in 2gof AB(s) (N =6 10)
(A) 75 10
(B) 24 0
Same element aton1s te assuncd to be
crystalhzed n simple cubie and FCC lattice. then
ratioof denstties of simple cubic to FCC unit celI
(C) | 4
(D)4 I
A metal crvstall1zes in a body centred cubic lattice
(bec) with the cdge of the unit cell S2A. The
d1stance between the ncxt ncarest ncighbour is
(A) 104 A
(C 52 A
Space for Rough Work
(D) 9.0 A
K
400-
200
SR3
7
V2Xa
7650CJA1010292)0007
English / 21042023
This
section
contains 10 questions
Candidates have to
stempt
any 5 questions out of 110. If more thans
questionsare attempted,then only first 5 attempted
aestionswillbe
evaluated
SECTION- II
The
ansswerto cach question is a
Numerical Value,
Eor cach
qucstio,enter thc correct integer value (In casc
of
non-integervaluc, the
the nearest Integer)
dhe following mark1ng scheme
FullMarks
Answerto cach question will be
evaluated accordingto
ZeroMarks
Negative Marks
1.
3.
Marks: 40)
the ansSwer should
4.
be rounded off lo
+4 1f correct answer is entered
0 Ifthe question is unanswered
-Uf wrong answer is entcred
The structurc of CaO is Sim1lar to NaCI What is
the coord1nat1on number of O
The numnber of atorns in 200 gm of an FCC erystal
with densily d =10 gm cm and cell edge as 200 pm
is cqual to x 10 Findx
Ar crystallizes in fcc arrangement and density of
solid and Iqurd Ar 3.7 and 3 gm/cc respcctively.
Find pcrccntage of cmpty spacc in liquid Ar.
(Write your answer as sum of digt)
If number of nearest neighbours, next ncarest (2nd
nearest) neighbour and next to next nearest (3
ncarest) neighbours are x, y and z respectively for
body ccntered eube unt cell. then calculate value
of
10 NX MH
BRG CLASS TEST ENTHUSIAST TES82_TE1S81
English I21042023
iOxNax(200)3
.
8.
9.
J0.
Number ol crYstal systems having only 2typcs u
Bravats lattices
Nuusber ot
interfacal angles cqual y.
all the three interfacal anrles and all the thrce axes
lenghts cqual =z
Cystal systen1s havng tlcast
Then find -+ z)
For ABC ABC ABC packinp! distance between
rWo Succesve tetrahedral su is Xand distance
between two sucessive octatedral vod is y n an
unit cell. then V2
IT the nital concentration of teactant are doubled.
hall lite bccomes half Then onder ol teaction will
be? ()
Find the (A B)
(A) Nearest neighbour distunce in NaCltype
structur
(B) Ncarest neighhour distance in CsCT type
structue
(Assume cdge lengh in cach case is 100 unit)
given v2 14 and =17
Fill your answer as stom of drgits (exchuding
decimalplaces) till you get the smgle drgit answer.
For an elementry process 2X
molecularity is
Space for Rough Work
Y / W. the
A reaction ts lound tu havc thc ratc constnt X see
How nany tumnes tlhe tule is ncreascd if initual
conccntrat1on of AIs truplcd ?3
7650CJA10o1029230007
Page 11/16
2
Page
12/16
SRG
CLASS
Space
for
Rough
Work
Enghsh21042023
7650CJA10192923o00T
Space
tor
Rough
Work
Englsh
I
21042023
G
CLASS
TEST
ENTHU5IAST
TESB2
TE1SB1
1650CJA
1uto2923000
Page
13/16
iD)
(C)
-,
|
R
(A)
,
|
(B)
0;
cUual
to
13
Iff(x)
l
i
m
thcn
rante
of
(IN
seen()
(C)
8
(DI
hyc
ussllators
tntinuuty
at1
D)
None
of
these
cos
(A)
6
(B)
7
(C02
(D)
L
w)
()
integer
function)
then
the
lcast
valuc
o!
À
I
s
,
,EN)
B)
hse
temus
abie
Sunity
(B)
function
t
o
r
xERWherc
||
denotes
t
h
e
grcatcst
g(0
Then
whuch
of
tlhe
tollow
ny
s
Cotet
lm
I2.rhx)
he
coninuous
i
then
thc
alue
uf
where
f()
fofot
of
Let
flx
be
a
continuous
functon
whosc
rangc
s
12
The
funtn
(C)
D)|
cos
f
o
r
f
(
0
.
I]R.
f()
(
A
)
2
(B)
t
n
2
IS
equal
t
o
,
(x
E
N)
Let
g{x
Im
(2"l
)
l
i
m
en)()
()}
(D)
70
(
C
)
8
im
(A)
-7
(B)
7
Negative
(B)
4
Zero
farks
-I
If
wrong
option
is
selected
0
If
none
of
t
h
e
option
Is
sclected
+4
If
corrcct
answer
Is
sclected
Integer
function)
of
lm
()
Full
Marks
(MCOS)
Only
one
option
marks
will
be
aw
arded
as
folloS
nlions
f
o
r
corrcct
answer
Muliple-Chorce
Ouestions
can
not
be
eqal
t
i5
continious
is
(where
|
represents
grcatest
Lt
p
.
4r
Such
that
p
q-r
Miot
ir
lengh
PA
cttal
to
(
D
)
docs
not
cxIst
f(x)=
sin:
2x
The
value
of
k
for
whtch
5ssn
2x
t
a
n
x
(
C
)
Ara
ot
AP
AM
Langcnt
at
putsitA
then
af
the
peend
ihe
SECTION-I:(Maximum
Marks:
80)
PART-3
MATHEMATICS
CHcte
a
Topic
:
Limit,
Continuity,
Class
XI
Full
Syllabus
ALLE
(
)(2i
-
1)
L
AB
be
a
fet
d:ametet
ot
5
ALLEM
TEST
ENTHUSIAST_
TESB2
TE15B1
Marks
This
secion
contains
20
qucstions,
Each
question
has
4
corrcct
For
cach
qucston.
21,then
t
h
e
value
R
pout
o
t
h
e
APhc
aaac
punt
ot
n
this
let
M
be
toot
crcle
ef
unit
radus
cqua
to
Page
14/16
SRG
CLASS
TEST
ENTHUSIAST_TES82_TE1SB1
Space
for
Rough
Work
English
/
21042023
7650CJA101029230007
Space
f
o
r
Rough
Work
-
3
+3
(
A
)
3
Page
15/16
(
B
)
?
(C)
I3
(D)
5
English
/
21042023
SAG
CLA
SS
TEST
ENTHUSIAST
TESB2_TE1SB1
C)
I
7650CJA101029230007
(
D
)
4
then
(p-q)
IS
equal
to
(wherc
[
denotes
greatest
integer
function)
(A)
6
s
cqual
to
(B)
93
790
sinen'
)
SP'
s
-
where
fx)
Is
discontinuous
is
(arc)
t
h
en
t
h
e
number
of
integral
chord
of
contact
Is
A
then
drawn
from
(
1
,
1
to
Area
of
t
h
e
that
f(x)
1
X=0
:-1sx<0
40
then
circle
is
(x
)
+(
y
-
2)
=
25.
If
SP
cccentricity
.
S
and
S'
ar
e
i
t
s
tociu
and
i
t
s
aux1lary
If
PSP
is
a
focal
chord
of
an
ell1pse
having
2
16
The
function
f
x)
Iet
(N)
be
a
contnuous
function
in
-,
1]
such
20.
is
"(whcIe
l
is
GIF)
t
h
e
hne
3x
-y-3.
If
i
t
s
y-tntercepls
is
'
p
'
,
then
(p
A
line
passes
through
(
2
,
)
and
is
perpendicular
to
(D)
docs
nat
exISt
(C)
30
to
(wherc
[]
represent
grcatcst
integer
function)
(
C
)
-1
8
q015
is
equal
t
o
.
If
t
h
e
chord
passes
(
B
)
2
is
discontinuos
at
x
IS
cquat
to
k,
then
value
of
[k'
|
is
equal
eiani
-
sin'
x
)
i
n
x
(
B
)
I
through
(
5
,
15).
t
h
en
p
(x-10)
+(
y
-
20)'-
729,
40
Is
a
chord
of
minimumn
length
ot
cucle
1.
cot
x
|+(Enx)
(A)
0
Let
f(x)
=
I
i
m
-
Vx
E
(1,3)
7
ts
equal
to
À
I
n
a
then
à
is
cqual
to
Iespectively
)
ereatest
nteger
func,
racttonal
part
function
denotes
signum
function,
aatt
Negat
i
s
e
Mar
k
s
(Wherc
denotes
greatest
integer
function)
(
D
)
x'
y
324
-1
If
wTOng
answer
iS
entered
Ze
o
Marks
Then
valuc
et
h
ci
s
(where
sgax,
[|
.
(C)*+y-225
(
B
)
x'+y'-1
4
4
0
If
thc
question
is
unanswered
The
n
f)
is
cqual
to
axbxC
Fa
l
l
Mar
k
s
+4
If
correct
answer
is
entered
6
(
A
)
x+
y
-
sI
he
fol
l
o
wi
n
g
marki
n
g
scheme
)(
and
B
(42,4v2)
ar
e
given
fixcd
points}
extenally.
is
As
w
e
rto
cach
question
evaluated
2
P
A
-
3PB
l
i
m
he
nearest
Integer)
t
h
e
yreatest
integer
functien)
IS
cqual
to
(where
denotes
x*3x
-
4)
15.
Let
f
he
a
continuous
function
R
t
h
e
locus
ofPobaincd
by
ID)
gx)
IS
discontinuous
wiere
fix)
is
discontmuous
I)IS
CONtnuous
where
gtx)
is
discontuous
B)
f
iS
discontinuous
where
gxLs
discontinuous
(
)
is
continuous
where
g(
Is
continuous
The
lxus
of
centre
of
t
h
e
circle
of
radrus
3
wich
tuc
(C)
2
number
then
q
-pis
cqual
to
(
p
.
a
ae
relat1vely
prme
(D)
3
(B)
I
T
h
e
answcr
af
pon-integer
valuc.
estst
4
t
i
o
ns
wi
l
l
be
eval
u
at
e
d
r
to
cach
qucstion
is
a
then
4L
is
equal
to
Numerical
sg.
funio
rspectvely)
toflew
ng
opion
is
alwavs
carrect
(where.
&
ane
fractional
I
f
L
=
l
i
m
0
Sinx
costf(s))
+1-sin'tx)
negative
ntegrs
thcn
t
h
e
yalue
ofa
rbCs
IS
a
cuitinuous
functiom.
R
and
a.b,c
ae
ALLENe
17.
function
&
f(2012)
-
Le
t
f(x)
=
axh-cie
-
35-a-E
2x)tER
wher
e
e
s
t
i
o
n
s
a
r
e
at
t
e
t
n
pt
e
d.
only
first
5
then
attenpted
t
e
n
p
t
s
a
y
5
5
quest
i
o
ns
o
u
t
10.
e
f(x)
)
is
a
continugus
3.
Let
i)
307
140
value(s)
of
x
n
|
-
3,
5|
1
0
.
trianglc
formed
by
t
h
e
pair
of
tangents
2x
-y
-
7-0
and
i
t
s
accord1ng
to
wi
l
l
be
(where
A
(9v2,9V)
Sucth
that
to
be
t
h
c
answer
should
rounded
off
F
o
r
c
a
c
h
h
guest
i
o
n,
ent
e
r
(In
correct
integer
Value
case
t
h
e
Value.
part
function
&
sIgnum
Let
fis)
=
gN)=
sgntx),
then
whch
of
t
h
e
If
more
thans
of
T
h
s
s
e
c
t
i
o
n
c
o
n
t
a
i
n
s
Candidates
have
to
10
questions
Ca
n
SECTI
O
N
-
I
I
:
40)
Maximum
Marks:

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