Roll No.

x……®……ΔEÚ

SS—40—PHY.

No. of Questions — 30
No. of Printed Pages — 11

=SS… ®……v™… ®…EÚ {…Æ˙“I……, 2013
SENIOR SECONDARY EXAMINATION, 2013

¶……Ë i…EÚ ¥…Y……x…
PHYSICS
∫…®…™… :

3

{…⁄h……»EÚ

1
P…h]‰ı
4
: 56

{…Æ˙“I……Ãl…™…… E‰Ú ±…B ∫……®……x™… x…nÊ˘∂… :
GENERAL INSTRUCTIONS TO THE EXAMINEES :
1.
{…Æ˙“I……l…‘ ∫…¥…«|…l…®… +{…x…‰ |…∂x… {…j… {…Æ˙ x……®……ΔEÚ + x…¥……™…«i…:

±…J…Â*

Candidate must write first his / her Roll No. on the question
paper compulsorily.
2.

∫…¶…“ |…∂x… EÚÆ˙x…‰ + x…¥……™…« ΩÈ˛*
All the questions are compulsory.

3.

|…i™…‰EÚ |…∂x… EÚ… =k…Æ˙ n˘“ M…<« =k…Æ˙-{…÷Œ∫i…EÚ… ®…Â Ω˛“ ±…J…Â*
Write the answer to each question in the given answer-book
only.

4.

V…x… |…∂x…… ®… +…xi… Æ˙EÚ J…hb˜ ΩÈ˛, =x… ∫…¶…“ E‰Ú =k…Æ˙ BEÚ ∫……l… Ω˛“ ±…J…Â*
For questions having more than one part, the answers to those
parts are to be written together in continuity.

5.

|…∂x… {…j… E‰Ú Ω˛xn˘“ ¥… +ΔO…‰V…“ ∞¸{……xi…Æ˙ ®… EÚ∫…“ |…EÚ…Æ˙ EÚ“ j…÷ ]ı / +xi…Æ˙ /
¥…Æ˙…‰v……¶……∫… Ω˛…‰x…‰ {…Æ˙ Ω˛xn˘“ ¶……π…… E‰Ú |…∂x… EÚ…‰ ∫…Ω˛“ ®……x…Â*
If there is any error / difference / contradiction in Hindi &
English versions of the question paper, the question of Hindi
version should be treated valid.

SS—40—Phy.

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6.

7.

|…∂x… ∫…ΔJ™……

+ΔEÚ |…i™…‰EÚ |…∂x…

1 – 13

1

14 – 24

2

25 – 27

3

28 – 30

4

Q. Nos.

Marks per question

1 – 13

1

14 – 24

2

25 – 27

3

28 – 30

4

|…∂x… ∫…ΔJ™…… 21 i…l…… 27 ∫…‰ 30 ®… +…xi… Æ˙EÚ ¥…EÚ±{… ΩÈ˛*
There are internal choices in Q. Nos. 21 and 27 to 30.

8.

{…Æ˙“I…… ®… EËÚ±…E÷Ú±…‰]ıÆ˙ E‰Ú ={…™……‰M… EÚ“ +x…÷®… i… x…Ω˛” Ω˲*
Use of calculator is not allowed in the examination.

1.

¥…t÷i… I…‰j… Ɖ˙J……+… E‰Ú EÚ…‰<« n˘…‰ M…÷h… ±… J…B*
Write any two properties of electric field lines.

2.

1

∫…®… ¥…¶…¥… {…fiπ`ˆ EÚ…‰ {… Æ˙¶…… π…i… EÚ“ V…B*
Define equipotential surface.

3.

1

B¥…Δ Y = 48 × 10−8 Ω -m E‰Ú S……±…EÚ…Â EÚ“ ±…®§……<« +…v…“ EÚÆ˙x…‰ {…Æ˙ X ¥…
±…B ∫…ΔM…i… ®……x… ±… J…B*

X = 4Ω

Y

E‰Ú

Write the corresponding values of X and Y for which the lengths of
conductors X = 4Ω and Y = 48 × 10 −8 Ω -m are reduced to half.
4.

n˘B M…™…‰ S…j…… ®… §…xn÷ P {…Æ˙ =i{…z… S…÷®§…EÚ“™… I…‰j… EÚ“ n˘∂…… ⊗ ¥… ☼ E‰Ú ∞¸{… ®… ±… J…B*

S…j… A
SS—40—Phy.

S…j… B
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In given diagrams write the direction of magnetic field produced at
1
point P in form of ⊗ and ☼.

Fig. A
5.

Fig. B

°ËÚÆ˙…b‰˜ EÚ… ¥…Ët÷i…S…÷®§…EÚ“™… |…‰Æ˙h… EÚ… x…™…®… ±… J…B*
Write Faraday's law of electromagnetic induction.

6.

1

EÚ∫…“ |…i™……¥…i…‘ {… Æ˙{…l… ®… +…Æ˙…‰ {…i… ¥……‰±]ıi…… 220V Ω˲* ™… n˘ R = 8Ω,
i……‰ x…®x… EÚ… ®……x… ±… J…B :
a)
¥……‰±]ıi…… EÚ… ¥…M…« ®……v™… ®…⁄±… ( rms ) ®……x…
b)
{… Æ˙{…l… EÚ“ |… i…§……v……*

X L = X C = 6Ω

Ω˲

In an alternating circuit applied voltage is 220V. If R = 8Ω,
X L = X C = 6Ω then write the values of the following :
1

7.

a)
b)
a)
b)
a)
b)

8.

Root mean square value of voltage
Impedance of circuit.

S…÷®§…EÚi¥… E‰Ú ±…B M……>∫… x…™…®… EÚ…‰ ®…ËC∫…¥…‰±… ∫…®…“EÚÆ˙h… E‰Ú ∞¸{… ®… ±… J…B*
1
μ0ε0

EÚ… ®……x… ±… J…B*

Write Gauss' law for magnetism in the form of Maxwell equation.
1
Write the value of
.
1
μ0ε0

+À§…n÷˘EÚi…… n˘…‰π… EÚ…‰ ∫…Δ∂……‰ v…i… EÚÆ˙x…‰ E‰Ú ±…™…‰ EÚ∫… |…EÚ…Æ˙ E‰Ú ±…Â∫… EÚ… |…™……‰M… EÚÆ˙i…‰ ΩÈ˛ ?
Which type of lens is used to correct astigmatism ?

9.

{…⁄h…« +…xi… Æ˙EÚ {…Æ˙…¥…i…«x… EÚ“ P…]ıx…… EÚ…‰ {… Æ˙¶…… π…i… EÚ“ V…B*

10.

Define the phenomenon of total internal reflection.
EÚ…‰<« i…i¥… A x…®x… n˘…‰ S…Æ˙h… |… GÚ™……+…Â u˘…Æ˙… i…i¥… C ®…Â ¥…P… ]ıi… Ω˛…‰i……

1
1

Ω˲ :

A ⎯⎯→ 2He4 + B
B ⎯⎯→ 2 ( −1e 0 ) + C

i…i¥……Â A, B ¥… C ®…Â ∫…‰ ∫…®…∫l…… x…EÚ ™…÷M®… UÙ…Δ ]ıB*
SS—40—Phy.

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An element A decays into element C by the following two step
processes :
A ⎯⎯→ 2He4 + B
B ⎯⎯→ 2 ( −1e 0 ) + C

Select pair for isobars from elements A, B and C.

1

11.

S…j… :

P

A

B

Y

Y'

0

0

0

1

0

1

1

0

1

0

1

0

1

1

1

0

∫……Æ˙h…“ : Q
S…j… P B¥…Δ ∫……Æ˙h…“ Q ∫…‰ ∫…Δ§…Δ v…i… i……ÃEÚEÚ u˘…Æ˙…Â E‰Ú x……®… ±… J…B*

Figure : P

12.

A

B

Y

Y'

0

0

0

1

0

1

1

0

1

0

1

0

1

1

1

0

Table : Q
Write the names of logic gates related to figure P and table Q.
{…fil¥…“ ∫…i…Ω˛ ∫…‰ |…‰π…h… B¥…Δ + ¶…O……Ω˛“ BÂ]ı“x…… EÚ“ >ƒS……<™……ƒ GÚ®…∂…: hT ¥… hR ΩÈ˛* n˘…‰x……Â

1

BÂ]ı“x……+…Â

E‰Ú §…“S… EÚ“ + v…EÚi…®… o˘Œπ]ıƉ˙J…“™… n⁄˘Æ˙“ (LOS) E‰Ú ±…B ∫…Δ§…Δv… ±… J…B*
Heights of transmitting and receiving antennas from earth surface are
hT and h R respectively. Write the relation for maximum line-of-sight
(LOS) distance between two antennas.
13.

1

®……Ïb÷˜±…x… C™…… Ω˲ ? +…™……®… ®……Ïb÷˜ ±…i… i…ÆΔ˙M… E‰Ú ∫…Δ∫…⁄S…x…Ú E‰Ú ±…B |…n˘k… + ¶…O……Ω˛“ §±……ÏEÚ-+…Ɖ˙J…
®…Â ¶……M… X EÚ… x……®… ±… J…B*

SS—40—Phy.

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What is modulation ? In the given block diagram of a receiver for
detection of amplitude modulated wave, write the name of part X.
1

14.

a)

®…“]ıÆ˙ ∫…‰i…÷ EÚ“ ∫…xi…÷±…x… +¥…∫l…… ®…Â n˘B M…™…‰ {… Æ˙{…l… S…j… ®…Â +Y……i… |… i…Æ˙…‰v… S EÚ… ®……x…
Y……i… EÚ“ V…B*

b)

n˘B M…™…‰ {… Æ˙{…l… ®…Â X ¥… Y E‰Ú ®…v™… {… Æ˙h……®…“ |… i…Æ˙…‰v… EÚ… ®……x… ±… J…B ™… n˘ E÷ΔÚV…“ K
i) J…÷±…“ Ω˛…‰
ii) §…xn˘ Ω˛…‰*

a)

In the given circuit diagram, find the value of unknown
resistance S, in the balancing condition of meter bridge.

SS—40—Phy.

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b)

In the given circuit write the value of resultant resistance in
between X and Y when key K is
i) opened
ii) closed.

1

1

1+2 +2 =2
15.

EÚÆ˙J……‰°Ú EÚ… |…l…®… x…™…®… (∫…Δ v… x…™…®…) ±… J…B* ¥Ω˛“]ı∫]ı…‰x… ∫…‰i…÷ EÚ… {… Æ˙{…l… S…j… §…x……EÚÆ˙
∫…‰i…÷ ®…Â ∂…⁄x™… ¥…I…‰{… E‰Ú ±…B |… i…§…xv… EÚ“ ¥™…÷i{… k… EÚ“ V…B*
Write Kirchhoff's first rule (law of junction). Drawing a circuit diagram
of Wheatstone bridge, derive condition for zero deflection in the bridge.
1
2

16.

1

+2 +1=2
→

b)

n˘E¬ÚEÚ…±… (®…÷HÚ +…EÚ…∂…) ®… EÚ∫…“ §…xn÷ {…Æ˙ ¥…t÷i…-I…‰j… ∫… n˘∂… ( E ) EÚ… {… Æ˙®……h…
→
9·3 V/m Ω˲* <∫… §…xn÷ {…Æ˙ S…÷®§…EÚ“™… I…‰j… ∫… n˘∂… ( B ) EÚ… {… Æ˙®……h… Y……i… EÚ“ V…B*
{…Æ˙…§…ÈM…x…“, +¥…Æ˙HÚ i…l…… X- EÚÆ˙h…… ®… ∫…‰ EÚ∫…EÚ“ i…ÆΔ˙M…nˢP™…« + v…EÚi…®… Ω˛…‰i…“ Ω˲ ?

a)

In free space at a point magnitude of electric field vector ( E ) is 9·3

b)

V/m. Find the magnitude of magnetic field vector ( B ) at the point.
Out of ultraviolet, infrared and X-rays whose wavelength is

a)

→

→

1
2

maximum ?
17.

1

∫…÷®…‰ ±…i… EÚ“ V…B :
Eڅϱ…®… I
μ = tan i p

P

Eڅϱ…®… II
∫x…˱… EÚ… x…™…®…

1
sin ic

Q

•…÷∫]ıÆ˙ EÚ… x…™…®…

C

sin i
μ=
sin r

R

|…W®…

D

⎛ A + Dm
sin ⎜⎜
2
⎝
μ=
A
sin
2

S

{…⁄h…« +…xi… Æ˙EÚ {…Æ˙…¥…i…«x…

A
B

μ=

SS—40—Phy.

⎞
⎟
⎟
⎠

SS–580

1

1

+2 +2 +2 =2

7
Match the following :
Column I
μ = tan i p
A

P

Column II
Snell's law

B

μ=

1
sin ic

Q

Brewster's law

C

μ=

sin i
sin r

R

Prism

D

⎛ A + Dm
sin ⎜⎜
2
⎝
μ=
A
sin
2

S

Total internal reflection

⎞
⎟
⎟
⎠

1

4×2 =2
18.

|…EÚ…∂… ¥…t÷i… |…¶……¥… EÚ“ P…]ıx…… ®…Â x…®x… EÚ…‰ {… Æ˙¶…… π…i… EÚ“ V…B :
a)
i)
EÚ…™…« °Ú±…x…
ii)
x…Æ˙…‰v…“ ¥…¶…¥… (+xi…EÚ ¥…¶…¥…)
b) 3·31 Å i…ÆΔ˙M…nˢP™…« E‰Ú °Ú…‰]ı…Ïx… EÚ“ >V……« EÚ“ M…h…x…… EÚ“ V…B*
Define the following in photoelectric effect phenomenon :
a)
i)
Work function
ii)
Stopping potential (cut-off potential)
b)

Calculate energy of photon of wavelength 3·31 Å.

1
2

1

+2 +1=2

19.

400V

20.

Calculate de Broglie wavelength associated with an electron,
accelerated through a potential difference of 400V.
2
P-N ∫…Δ v… b˜…™……‰b˜ E‰Ú +O… n˘ ∂…EÚ §……™…∫… (+ ¶…x… i…) ®…Â V-I + ¶…±……I… h…EÚ ¥…GÚ |……{i… EÚÆ˙x…‰

¥…¶…¥……xi…Æ˙ ∫…‰ i¥… Æ˙i… <±…‰C]≈ı…Ïx… ∫…‰ ∫…®§…r˘ n‰˘ •……ÏM±…“ i…ÆΔ˙M…nˢP™…« EÚ“ M…h…x…… EÚ“ V…B*

EÚ“ EÚ…™…« ¥… v… EÚ… ¥…h…«x… EÚ“ V…B* |……™……‰ M…EÚ ¥™…¥…∫l…… EÚ… {… Æ˙{…l… S…j… §…x……<B*
Explain the working to obtain V-I characteristic curve in forward
biasing of P-N junction diode. Draw circuit diagram of experimental
1
2

arrangement.
21.

1

+ 12 = 2

§……™……‰-∫……¥…]«ı EÚ… x…™…®… ±… J…B*
BEÚ <±…‰C]≈ı…Ïx… EÚ“ M… i… EÚ… {…l… ±… J…B V…§… EÚ ¥…Ω˛ S…÷®§…EÚ“™… I…‰j… ®… |…¥…‰∂… EÚÆ˙i…… Ω˲, =∫…E‰Ú
a) ±…®§…¥…i…¬
b) θ EÚ…‰h… {…Æ˙*
+l…¥……

SS—40—Phy.

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x…®…x… EÚ…‰h… (+…x… i… EÚ…‰h…) EÚ…‰ {… Æ˙¶…… π…i… EÚ“ V…B* x…®…x… EÚ…‰h… EÚ… ®……x… Y……i… EÚ“ V…B
V…∫…E‰Ú ±…B EÚ∫…“ §…xn÷˘ {…Æ˙ {…fil¥…“ E‰Ú S…÷®§…EÚ“™… I…‰j… E‰Ú I…Ë i…V… P…]ıEÚ B¥…Δ =v¥……«v…Æ˙ P…]ıEÚ
§…Æ˙…§…Æ˙ Ω˛…‰i…‰ ΩÈ˛*
Write Biot-Savart law.
Write the path of motion of an electron when it enters in magnetic field
at
a) perpendicular
b)

1

an angle θ.

1

1+ 2 +2 =2
OR

Define angle of dip. Find the value of dip angle at any point for which
the horizontal component and vertical component of earth's magnetic
1

22.

Ω˛…<b≈˜…‰V…x… {…Æ˙®……h…÷ E‰Ú ±…B §……‰Æ˙ E‰Ú EÚ…‰<« n˘…‰ + ¶…O… Ω˛i…… EÚ…‰ ±… J…B*
Write Bohr's any two postulates for hydrogen atom.

23.

1

1+ 2 +2 =2

field are equal.

Ɖ˙ b˜™……‰BŒC]ı¥… I…™…i…… EÚ… x…™…®… ±… J…B* EÚ∫…“ Ɖ˙ b˜™……‰BŒC]ı¥… i…i¥… EÚ… I…™……ΔEÚ
Ω˲* <∫…EÚ“ +v…«-+…™…÷ EÚ… ®……x… ¥…π…« ®… Y……i… EÚ“ V…B*

2
10 −3

|… i…¥…π…«

Write the law of radioactive decay. Decay constant of a radioactive
substance is 10 −3 per year. Calculate its half-life time in year. 1 + 1 = 2
24.

x…®x… EÚ…‰ {… Æ˙¶…… π…i… EÚ“ V…B :
a)
]≈ı…x∫…b˜¨⁄∫…Æ˙
§…Èb˜ S……Ëc˜…<«*
b)
Define the following :

25.

a)

Transducer

b)

Bandwidth.

1+1=2

B‰Œ®{…™…Æ˙ EÚ… {… Æ˙{…l…“™… x…™…®… ±… J…B* BEÚ ±…®§…‰ ∫…“v…‰ ¥…fik……EÚ…Æ˙ EÚ…]ı ( j…V™…… a) E‰Ú i……Æ˙
®… ∫l……™…“ v……Æ˙… |…¥…… Ω˛i… Ω˛…‰ Æ˙Ω˛“ Ω˲* v……Æ˙… i……Æ˙ ®… ∫…®……x… ∞¸{… ∫…‰ ¥…i… Æ˙i… Ω˲* i……Æ˙ E‰Ú +xn˘Æ˙ I…‰j…
( r < a ) {…Æ˙ S…÷®§…EÚ“™… I…‰j… EÚ“ M…h…x…… EÚ“ V…B*
Write Ampere's circuital law. A long straight wire of a circular crosssection ( radius a ) carrying steady current. Current is uniformly
distributed in the wire. Calculate magnetic field inside the region
( r < a ) in the wire.
1+2=3

SS—40—Phy.

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26.

+¥…i…±… n˘{…«h… u˘…Æ˙… |… i… §…®§… Æ˙S…x…… EÚ… EÚÆ˙h… S…j… §…x……EÚÆ˙ §…®§… EÚ“ n⁄˘Æ˙“
n⁄˘Æ˙“ ( v ) i…l…… °Ú…‰EÚ∫… n⁄˘Æ˙“ ( f ) ®… ∫…Δ§…Δv… ∫l…… {…i… EÚ“ V…B*

( u ),

|… i… §…®§…

Draw a ray diagram for image formation by a concave mirror and
establish a relation between object distance ( u ), image distance ( v )
1
2

and focal length ( f ).
27.

1

+ 22 = 3

n˘π]ıEÚÆ˙h… C™…… Ω˲ ? {…⁄h…« i…ÆΔ˙M… n˘π]ıEÚ…Æ˙“ EÚ“ EÚ…™…« ¥… v… ∫…®…Z……<B* +…¥…∂™…EÚ {… Æ˙{…l… S…j…
§…x……<B*
+l…¥……
|…¥…v…«x… ∫…‰ C™…… i……i{…™…« Ω˲ ? =¶…™… x…π`ˆı =i∫…V…«EÚ
S…j… §…x……<B i…l…… EÚ…™…« ¥… v… ±… J…B*

n-p-n

]≈ı…Δ V…∫]ıÆ˙ |…¥…v…«EÚ EÚ… ∫…Æ˙±… {… Æ˙{…l…

§…Ëhb˜ ∫…r˘…xi… E‰Ú +…v……Æ˙ {…Æ˙ S……±…EÚ, +S……±…EÚ B¥…Δ +r«˘S……±…EÚ…Â EÚ…‰ ¥…¶…‰ n˘i… EÚ“ V…B*
What is rectification ? Explain the working of a fullwave rectifier. Draw
1
2

necessary circuit diagram.

1

+ 2 +2=3

OR
What is meant by amplification ? Draw a simple circuit of n-p-n
common emitter transistor amplifier.
On the basis of band theory, distinguish between conductor, insulator
1
2

and semi-conductor.
28.

1

+2 +2=3

Œ∫l…Æ˙ ¥…Ët÷ i…EÚ“ E‰Ú ±…B M……>∫… x…™…®… EÚ… EÚl…x… ±… J…B* S…j… §…x……EÚÆ˙ BEÚ ∫…®……x… +…¥…‰ ∂…i…
+x…xi… ∫…®…i…±… S……n˘Æ˙ E‰Ú EÚ…Æ˙h… <∫…E‰Ú x…V…n˘“EÚ EÚ∫…“ §…xn÷ {…Æ˙ ¥…t÷i… I…‰j… E‰Ú ±…B ¥™…ΔV…EÚ
¥™…÷i{…z… EÚ“ V…B*
n˘B M…™…‰ S…j… ®…Â, {…fiπ`ˆ ∫…‰ x…M…«i… ¥…t÷i… }±…C∫… EÚ… ®……x… ±… J…B :
•

•

q1 = 2μc
q 2 = −1μc

+l…¥……
SS—40—Phy.

SS–580

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∫…Δv…… Æ˙j… EÚ…‰ {… Æ˙¶…… π…i… EÚ“ V…B*
{… Æ˙{…l… S…j… §…x……EÚÆ˙ ∫…Δv…… Æ˙j……Â E‰Ú ∏…‰h…“ ∫…Δ™……‰V…x… ®…Â i…÷±™… v…… Æ˙i…… EÚ… ∫…Δ§…Δv… |……{i… EÚ“ V…B* n˘B
M…™…‰ {… Æ˙{…l… ®… ¥……‰±]ıi…… V1 EÚ… ®……x… ±… J…B*

Write the statement of Gauss' law for electrostatics.
Draw a diagram and derive an expression for electric field due to a
uniformly charged infinite plane sheet at a point near the sheet.
In the given diagram write the value of electric flux passing from the
surface.
• q = 2μc
1
•

q 2 = −1μc

1

1

1+ 2 +2+2 =4

OR
Define capacitor.
Draw a circuit diagram and obtain a relation for equivalent
capacitance in the series combination of capacitors.
In given circuit diagram write the value of V1 .

1

1

1+ 2 +2+2 =4
29.

|…i™……¥…i…‘ ¥……‰±]ıi…… ª……‰i… E‰Ú ∫……l… ∫…®§…r˘ ∏…‰h…“ LCR {… Æ˙{…l… E‰Ú ±…B °‰ÚV…Æ˙ S…j… J…”S…i…‰ Ω÷˛B
{… Æ˙{…l… EÚ“ |… i…§……v…… EÚ… ¥™…ΔV…EÚ Y……i… EÚÆÂ˙*
+l…¥……
|…i™……¥…i…‘ v……Æ˙… V… x…j… EÚ… S…j… §…x……EÚÆ˙ ¥…h…«x… EÚ“ V…B * |…‰ Æ˙i… ¥…t÷i… ¥……Ω˛EÚ §…±… E‰Ú
i……iI… h…EÚ ®……x… E‰Ú ¥™…ΔV…EÚ EÚ“ ¥™…÷i{… k… EÚ“ V…B*
Draw phasor diagram for a series LCR circuit with alternating voltage
source, determine the expression for the impedance of the circuit.
1+3=4
OR
Draw a diagram of AC generator and describe it. Derive an expression
for instantaneous value of induced emf.
1+3=4

SS—40—Phy.

SS–580

11
30.

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To produce interference fringe pattern, draw a ray diagram of Young's
double slit experiment. Derive an expression of fringe width for bright
interference fringes. If fringe width for bright fringes is 2 mm, write the
fringe width for dark fringes. Whether the centre point of interference
1
2

fringe pattern is bright or dark ? Explain it.

1

+3+ 2 =4

OR
Draw a ray diagram for a concave mirror and prove that focal length of
the mirror is half of its radius of curvature. Write mirror equation for a
concave mirror. When light enters from rare to denser media, what
effect occurs on the values of wavelength and frequency of it ?
1
2

SS—40—Phy.

SS–580

1

+ 22 + 1 = 4

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