Class : XIII (Sterling)
Time : 3 hour Max. Marks : 60
INSTRUCTIONS
1. The question paper contain pages and 3-parts. Part-A contains 6 objective question , Part-B contains 2
questions of "Match theColumn" type and Part-C contains 4 subjective type questions.All questions are
compulsory. Please ensure that the Question Paper you have received contains all the QUESTIONS
and Pages. If you found some mistake like missing questions or pages then contact immediately to
the Invigilator.
PART-A
(i) Q.1 to Q.6 have One or More than one is / are correct alternative(s) and carry 4 marks each.
There is NEGATIVE marking. 1 mark will be deducted for eachwrong answer.
PART-B
(iii) Q.1 to Q.2 are"Match the Column" typewhich mayhave oneor more than onematching options and
carry8 marks foreach question. 2 marks will be awarded for each correct match within a question.
ThereisNONEGATIVEmarking.Markswillbeawardedonlyifallthecorrectalternativesareselected.
PART-C
(iv) Q.1 to Q.4 are "Subjective" questions. There is NO NEGATIVE marking. Marks will be awarded
onlyifall the correct bubbles are filled in yourOMR sheet.
2. Indicate the correctanswer for each question byfillingappropriate bubble(s) inyour answer sheet.
3. Use onlyHB pencil fordarkeningthe bubble(s).
4. Use ofCalculator, LogTable, SlideRule and Mobile is not allowed.
5. Theanswer(s)ofthequestionsmustbemarked byshadingthecirclesagainst thequestionbydarkHBpencil
only.
PART TEST-3
PART-B
For example if Correct
match for (A) is P, Q; for
(B) is P, R; for (C) is P
and for (D) is S then the
correct method for filling
thebubbleis
P Q R S
(A)
(B)
(C)
(D)
PART-C
Ensure that all columns
(4 before decimal and 2
after decimal) are filled.
Answer having blank
column willbe treated as
incorrect. Insert leading
zero(s) if required after
rounding the result to 2
decimalplaces.
e.g. 86 should befilled as
0086.00
.
.
.
.
.
.
.
.
.
.
PART-A
For example if only 'B'
choice is correct then,
the correct method for
fillingthebubbleis
A B C D
Forexampleifonly'B&
D' choices are correct
then, the correct method
forfillingthebubblesis
A B C D
The answer of the
question in any other
manner (such as putting
, cross , or partial
shading etc.) will be
treated as wrong.
PHYSICS

PARTA
Select the correct alternative(s) (one or more than alternative may be correct)
Q.1 Whichofthefollowingaredimensionlessquantities?
(A) 2
CR
L
(B) 2
2
0
B
E



(C) 2
2
B
E
(D)mLi2
Q.2 to Q4: In the cct shown in figure following events are performed.
Event A : switch S1
is closed
Event B : switch S2
is closed
Event C : switch S3
is closed
Event D : switch S4
is closed
Q.2 Current drivenbybatteryimmediatelyafter(A + B + C) event :
(A)
2
1 R
R
E
 (B)
1
R
E
(C) zero (D)infinite
Q.3 Voltage across inductoris zero :
(A)afterlongtimeirrespectiveofanyevents
(B) onlywhen event B takes place irrespective of anyother event
(C) immediate after event (B + C + D)
(D) onlywhen eventAdoes not happen
Q.4 Arock ofmass m is droppedinto a pot ofwater, where it fall with a constant acceleration ofg/2.At the
same time an equal volume of water of mass m/5 accelerates upward with same acceleration to make
room for the rock. The combined mass of water and pot is 2m and entire system rest on a scale. What
is the readingofscale :
(A) mg
5
13
(B)mg (C) mg
3
5
(D) none
Q.5 A tank is filled upto a height h with a liquid and is placed on a
platform ofheighth fromtheground.To getmaximumrange
xm
a small hole is punched at adistance of y from the free
surfaceoftheliquid.Then:
(A) xm
= 2h
(B) xm
= 1.5 h
(C) y = h
(D) y = 0.75 h
Q.6 Surface tension of a soap is T. How much work is needed to blow a soap bubble of Radius R ?
(A) 2R2
T (B) 4R2
T (C) 8R2
T (D) 16R2
T

PART B
Match the column
Q.1 ApointchargeqismovinginacircleofradiusRwithangularfrequency.Matchthefollowingforgiven
data :
Table - 1 Table - 2
(A)Equivalentcurrent (P) Proportional to (q/R)
(B)Equivalentmagneticmoment (Q) Proportional to (q)
(C)Magneticfield at centre (R) Proportional to (qR2
)
(D)Torque actingon charge about centre of circle (S) None
Q.2 Aseries L–C circuit is connected toanAC source of220Vand 50 Hz as shown in figure.If the reading
three idealA.C. voltmeters are V1
,V2
and V3
are 65V, 415V and 204V respectively :
Column - I Column - II
(A)rms valueofcurrentincircuit (P) 1 S.I. unit
(B)The valueofinductance‘L’(approximately) (Q) 0.65 S.I. unit
(C) The value of capacitance (C)(approximately)(R) 10×10–6
S.I. unit
(D) The value of C (for the same L) required to (S) 5×10–6
S.I. unit
produce resonance
PART C
Q.1 Mercuryiscontained in U-tube ofuniform square cross-section
side a = 4mm. ElectrodesAand D are sealed inside as shown in
the fig.An electric current I= 10Apasses
between the electrodes fromAto D and magnetic field B = 5.44
wb/m2
is appliedacrossthehorizontal arm perpendicularintothe
plane of the figure ? Here densityof mercury= 13.6 × 103
kg/m3
,
g = 10 m/s2
, Nelgect surface tension. Calculate the difference (in
mm)inmercurylevel inlimbsofUtube.
Q.2 Thefigureshows acopper rod(PQ) movingwith velocityv parallel to
a longstraight current carryingwire havingcurrent I=100A.Calculate
the current (in mA) in copper rod PQ.
Here v = 5 m/s., a = 1 cm, b = 100 cm and R = 9.2×10–3
.
Q.3 An electron of kinetic energy100 eV collides with stationaryhelium ion (He+
) in its ground state and
excites it to a higher level.After collision He+
ion emits two photons in succession with wavelengths
1080Å and 300Å.
Find the kinetic energy (in e.V.) of electron after collision. Neglect the recoil speed of He+
ions and
hC=12420 eV–Å.
Q.4 A metal disc of radius R =6 cm is mounted on a frictionless axle.
The current canflow throughtheaxleout alongthediscto asliding
contact ofrimofthe disc.Auniform magneticfield B=2Tis parallel
to the axis of the disc. When the current is 3A, the disc rotates with
constant angularvelocity.What is thefrictional force(inNewton)at
therim betweenthestationaryelectrical contact andtherotating rim?

SOLUTION
PART A
Select the correct alternative(s) (one or more than alternative may be correct)
Q.1 [Ans:A,B]
[Sol: CR =  (time const)  = 2
CR
L
=


= 1
R
L
= ,
0
0
1

 = v,  = 0
E0
× 2
2
B
E
= 1 ]
Q.2 [Ans:A]
[Sol: ImmediatelyafterA+ B + C
current through Lis zero & charge on C1
is zero
from KvL i =
2
1 R
R 

]
Q.3 [Ans:A]
[Sol: inductor is ideal, at steady
statecorrentwill beomeconstant ]
Q.4 [Ans:A]
[Sol.
Wwater
+ Wpot
+ Wrock
N = (Wwater
+ Wrock
+ Wpot
)g = Mhal
aCM
here aCM
=
M
a
W
a
W water
sigh
rock
rock 
mg
5
13
N  ]
Q.5 [Ans:A]
[Sol: We know
Rmax
= H at y =
2
H
Here H  h + h = 2h
There fore maximum range will be 2h at y= h,
i : e hole should be at bottom. ]

Q.6 [Ans:C]
[Sol:  W = (2A) T = 2 × 4R2
× T
(A bubblehas two faces)]
PART B
Q.1 [Ans: (A)  Q; (B)  R; (C)  P; (D)  S]
[Sol: i =
dt
dq
=


2
× q
i × q
magnetic moment M = IA = (q)R2
magnetic field at centre B =
R
2
i
0

=
R
2
0

× q


2
B ×
R
q
Ans: (A)  Q; (B)  R; (C)  P; (D)  S]
Q.2
Ans: (A) - Q; (B) - P; (C) - S; (D) - R
PART C
Q.1 [Ans:100mm]
[Sol.AccordingtoFleming’s left handrule theentirebodyof mercuryexperiences magneticforceFm
=BIa.To
balance this forcea difference inthe mercurylevel’s is setup.Let h be thedifferencein level
2
a
)
gh
(
a
B 



m
1
.
0
10
1
10
4
10
10
6
.
13
10
44
.
5
ga
BI
h 3
3









 
= 100 mm.]
Q.2 [Ans:50mA]
[Sol. Motional emf develop across rod PQ

 




b
x
dx
Bv
d dx
v
x
I
2
a
x
0





a
b
n
2
Iv
0




 100
n
2
5
100
10
4 7








V
10
6
.
4 4



induced current inrod A
05
.
0
20
1
10
2
.
9
10
6
.
4
R
i 3
4
ind 





 

mA
50
 ]

Q.3 [Ans. 47.1 e.V.]
[Sol. 1
= 1080Å  1080
12420
hC
E
1
'
1 

 = 11.50 eV
1
= 300 Å 
300
12420
E'
2  = 41.4 eV
9
.
52
E
E '
2
'
1 
 eV
9
.
52
E
E
E
E 1
n
'
2
'
1 


 eV
From emfyconsv. n
'
1
1
1 E
K
E
K 

  )
E
E
(
K
K 1
n
1
'
1 


= 100 – 52.9
V
.
e
1
.
47
K'
1  ]
Q.4 [Ans: 18N]
[Sol. 0




0
B
f 





 



 B
Id
r
f
R f





 




0
f )
k
(
dr
Br
I
)
k̂
(
sin
Rf
)
k
(
2
B
IR
)
k̂
(
Rf
2
r 



Ans.
2
IRB
fr  = 0.18 N]