KCET 2024 Question Paper Physics

Entrance Exam
2024

QUESTION
PAPER

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admission. 1--
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,

. ... ..
·. __. ll '·•;~ .-." ·... ·,

1. An equiconvex lens of radius of cur vature 14 cm is made up of two different materials. Left
half and right half of vertical portion is made- ~; of material of refractive index l :.2_and 1·2
respectively as shown in the figure. If a point object is placed at a distance of 40 cm,
calculate the i~age distance. ·- - ·-~--==

1:5
1·2

(A) 25 cm (B) 50 cm (C) 35 cm ·;~ 40cm
'Cf .
2. A galaxy is moving away from the Earth so that a spectral line at 600 nm is observed at
~ ,,- 60i nm.'-Then the speed of the galaxy with, respect to the Earth is

@ 500kms-l (B) 50kms-1

(C) 200 km s-1 (D) 20 kms- 1

3. Three polaroid sheets are co-axially placed as indicated in the diagram. Pass axes of the
polaroids 2 and 3 make 30° and 90° with pass axis of polaroid sheet 1. If I 0 ·is the intensity
of the incident impolarised light entering sheet 1, the intensity of the emergent light .
. • I

through sheet 3 is
!PA1 30°/ PA2
900 ,,,,.PA3
I
I I
/

·1 I
3 Io ·
__ 3 I0
~zero (C) (D)
8 16

Space for Rough Work / t..idU'.) ~l°'l-t-~ ~~
(;)

P A-2 (2)

4. In Young's double slit experiment, an electron beam is used to produce irterference fringes
of wi~th f31- Now the electron beam is ~ _placed by a ~~;!1 of (oto;s 'with the same
expenmenta_l _set-up _a~d same speed. The fringe width obtained is ~ . The correct relation
between ·e1 and f3 2 is
2
~ f31 = f32 (B) No fringes are formed
(C) f31 < f32 ~ f31 > f32
5. Light of energy E falls normally on a metal of work function E . The kinetic energies (K) of
. . . 3
the photo electrons are

(B) K=E
3

(D) O~K~ E
3

6. The photoelectric work function for photo metal is 2 ·4 eV. Among the four wavelengths, ·the
. ,,,,_..
wavelength of light for which photo-emission does not take place is
-
(A) 200 nm ~ (B) 300 nm ~ 700 nm (D) 400 nm

7. In alpha particle scattering experiment, if vis the initial velocity of·the particle, then the
distance of closest approach is d. If the velocity is doubled, then the distance of -closest
approach bec01:r~.es

(A) 4d (B) · 2d v(C} d
2

8. The ratio of area of first excited state to ground state of orbit of hydrogen atom is
. ~--------- . ~

(A) 1: 16 . ):
~ 1:4
(C) 4:1 ~ - 1~: 1

9. The ratio o f ~ of Al 27 nucleus· to its surface area is: (Given~= 1·2 x 10-15 m)

(A) 2·1 x 10-15 m (B) 1·3 x 10-15 m
(C) 0·22 x 10-15 m ,tffif,. 1 ·2 X 10-15 m

~ ___,) ... .

Space for Rouah Work / ~d~ :gc.,~:g ~~
,; , C;)

P A-2 (4 )

10. Consider the nuclear fission reaction
1 11 + 235U ➔ 144B 89Kr 1
O 92 56 a + 36 + 3 on ·

Assuming all the kinetic energy is carried away by the fast neutrons only and total binding
. 235 144 89 . .-.e::.......
- •
energies of U, Ba and Kr to be 1800 MeV 1200 MeV and 780 MeV respectively,
--
- ~
92 56 36
'"'---
the average kinetic energy carried by each fast neutron is (in Me
- ----- , _ -----
V)
------ .

(A) 200 . (B) 180 (C) 67 ~ 60
v
~ e:) The natural logarithm of the activity R of a radioactive sample varies with time t as shown.
At t = 0, there are N 0 undecayed nuclei. T h ~ a l to [Take e 2 = 7·5]

f;f I z
ln R

1

- " - - - - - -- - - - ~ t (in 103 s)
10
(A) 7,500 ~ -3,500 Cf!) 7ij,000 (D) 1,50,000

12. Depletion region in an unbiased semiconductor diode is a region consisting of
- -c::::::::::::>
(A) both free electrons and holes
W neither free electrons nor holes ·
(C) only free electrons
(D) only holes

13. The upper level of valence band and lower level of conduction band overlap in the case of

C§Y silicon ~ copper

(C) carbon (D) germanium
Space for Rough Work / t..id~ ~~~~ ~~
1!r cp

p A-2 (6)

. ' .- ._

14. In the diagram shown, the Zener_diodo haR a r everse breakdown voltage of ~z· The current
through the load resistance RL is Iv 'rhe_ current through the Zen!.!. ~Jpde is

l

~s

V0

lz

(A)
Vo -Vz
(B)
Rs

CC)

15. A P:-n junction_diode·is connected to a battery of{§nf 5·7'vJin ~eries with a resistance 5 ~
such that it is forward biased. If the barrier potential of the diode is 0·7 V, neglecting the
diode resistance, th e current in the circuit is

(A) 1·14mA

e lmA
(C) 1A

_rer 1·14 A
,-~V. f ~ -
Lr~ f
\}'~--~

Space for Rough Work / ~d~ ~e.,~( ~~

P A-2 r,

16. A block of certain mass is ·placed on a rough inclined plane. The angle between the plane
and the h orizontal is 30°. Th e coefficient s of st atic a nd kinet ic frictions between t he block
and the inclined plane are 0·6 and 0·5 r espe_c tiyely. Then th e magnitude of the acceleration
of t he block is [Take g = 10 ms-2] --------- ·

(A) 2 ms-2 ~ :z;ero (C) 0· 196 ms-2 (D) 0·67 ms- 2
17. A particle of mass 500 g is at rest. It is free to move along a straight line. The power
delivered to the partlcle varies wifli time -~c~ordi~g to the following graph: _

12
i
-.
...,:i
10
8
+>
m
~
.._,
6
~ 4
· ;...
Q) 2

~
!-
1 2 3 4 5 6
Time t (s) --+-
The rµomentum of the particle at t = 5 s is Cl"

(J~ (A) 2J5 _Ns (B) 5 ✓ 2 Ns - 5 Ns -;fa)
_ (D) 5·5Ns
Dimensional formula for activity of a radioactive substance is
-~
(A) M0LlT-1 (B) MOL-ITO . _~ - MOLOT-1 (D) M-lL0T0
19. An athlete runs _along a circular track of diameter 80 m . ·The distance travelled and the
magnit"l,!de of displacement of the athlete when he covers ~ th of the circle is (in m ) . -.
.___- - - - - - -• . 4 --- --
/@;: 60n, 40 ✓2 . (B) 40n, 60 ✓2
_ ~ 2 0 n~ ~
(D) 80n, 120 . ✓2
20. Among the given pair of vectors, the resulta.11t of two vectors canE_v;) be 3 units. The
vectors are ____, · · - == = - · · · ~
(A) 1 unit and 2 units ~ 2 units and 5 units
(C) 3 units and 6 units (@ 4 units and 8 units

Space for Rough Work / t.ide3:) ~~~~ ~~
~ ~ ~

P A-2

r r~
,.,
,....---.. \

t \__ : )
"<:1. I A ceiling fan is rotating around a fixed axle as shown. T he dj rection of angular velocity is
- along _ _ __

,z
I
I
)- - - ➔Y
/
/
""x

1 -

A A A A
+ j (B) - j (C) +k -k
I
22. A body of mass 1 kg is suspended by a weightless string which passes over a frictionless
pulley of mass 2 kg as shown in the figure. The mass is released from a height of 1 ·6 m from
the ground. With what velocity does it strike the ground ?
-, 0

(A) 16 ms-1

23. What is the value of acceleration due to gravity at a height equal to half the radius of the
--====--
Earth, from its surface?

1
Q 4·4 ms-2 (B) 6·5 ms-2 ~ero (D) 9·8 ms-2

Space for Rough Work / t.id~ :SC)~:S ~~
"C' {;)

----

P A-2 ( 12 )

24. A thick metal wire of density p and length 'L' is hung from a rigid support. The increase in
length of the wire ·due to its own weight is (Y = Young's modulus of the material of the wire)

(A)
pgL 1 2
y (D) - pgL
4Y

25. Water flows through a horizontal pipe of varying cross-section at a rate of 0·314 m 3s- 1. The
-=-.---..-
velocity of water at a point where the radius of the pipe is 10 cm·is . -z

(A) 0· 1 ms-1 (B) 1 ms- 1 ~ 10 ms- 1 (D) 100 ms- 1 ·

26. A solid cube of mass m at a temperature 80 is heated at a constant rate. It becomes liq!:!id at
temperature 8 1 ,and v_a pour at temperat~~-'~L et sL an~-~ be specilic_heats in its solid
and liquid states respectively. If Lr and ½ are latent heats of fusion and vaporisation
respectively, then the minimum heat energy supplied to the cube until it vaporises is
(A) msi(8 1 - 80 ) + ms 2(8 2 - 8 1 )
(B) mLr + ms 2(8 2 - 8 1 ) + mLv

~
(D)
msi(8 1 - 80 ) + mLr + msz(8 2 - 8 1 ) + mLv
msi(8 1 - 80 ) + mLr + ms 2 (8 2 - 80 ) + m½

27. One ~ole of an ideal monoatomic gas is taken round the cyclic process MNOM. The work
done by the gas is
p

3Po - M

P 0·
01
V0 3 v0·
(A) 4·5 P 0V 0 (B) 4 P 0V 0

Space for Rough Work / ~e:~ :8C)~:8 ~~
~ ~

P A-2

28 . ,:?~ ratio of molar specific heats of oxygen is
(~@/~ 1·4 .. (B~ 1·67 (C) 1·33 (D) 1·28

29. For a particle executing simple harmonic motion (SHM), at its mean positio~
(A) velocity is zero and acceleratio~ is maximu~
~
/~
\..velocity is maximum and a~celeration is zero ·
(C) both velocity and acceleration are maximum ~~
(D) both velocity and acceleration are zero . '5 .vv ~ v_%
. /' t/:.,?
30. A motor-cyclist moving towards a · huge cliff with a speed of 18 kmh-1 , blows a horn of
source frequency 325 Hz .. ff the speed of the sound in ~ir is 330 ms-1, the nu~ber of beats
~~~~~ ~

@ 5 (B) 4 Gm>10 (D) 7

31. A body has a charge of - 3·2 µC . The number of excess electrons it has is
(A) 5· 12 X 1025 . (B) ~ 1012 ' . ~ 2 _1013 X (D) 5· 12 X 1013

32. A point charge A of +10 µC and another point charge B of +20 µCare kept 1 m apart in free
➔
space. The electrostatic force on A due to B is F1 and the electrostatic force on B due to A is
. ' .
➔
F 2 . Then ..v · Hlt

33.
--
A uniform electric field E = 3 x 105 NC- 1 is acting along the positive Y-axis. Th~ electric
. .
~ through a rectangle of area 10 cm x 30 c~hose plane is parallel to the Z-X plane is :

(A) 12 x 103 Vm . · / ~ 9 x 103 Vm (C) 15 x 103 Vm (D) 18 x 103 Vm

34. Th~ total electric flux through a closed spherical surface of radius 'r' enclosing an electric
dipole of dipole m nt 2aq is (Given c0 ~ permittivity of free space)

®~ zero (C)
2q
co
(D)

Space for Rough Work / ~d~ ik:,;!l:8 ;!leJ
-6- (.µ

( 16 )

9
35. Und er elect rosta tic cond ition of a char ged con_d ucto
r, whic h amo ng the follo wing state ments
is true ?
The elect ric field on the surfa ce of a char ged cond ucto
(A)

.'\
char ge dens ity.
r is ~ --- , wher e cr is the surface
2
2o
i
The elect ric pote ntial insid e a char ged cond uctor is
alwa ys zero. v'--
, / Any exce ss char ge resid es on, the surfa ce of the. cond
uctor .
The net elect ric field is tang entia l to the surfa ce of the
cond uctor .
36. A cube of side 1 cm cont ains 100 mole
cules each havi ng an indu ced dipo le mom ent of
0·2 x 10- 6 C-m in an exte rnal elect ric field of 4
Nc-1 . The elect ric susc eptib ility of the
mate rial is _ _ _ _ _ C 2 N-1 m-2 .
(A) _ 50 c<zf 5 ·
(C) 0·5 (D) 0·05 .
37. A capa citor of capa citan ce 5 µF is char
ged by a batte ry of emf 10 V. At an insta nt of time,
the pote ntial diffe rence aer'bss the capa citor is 4 V.
and the time · rate of chan ge of pote ntial
diffe rence acros s the capa citor is 0·6 Vs-1 . Then the
time rate at whic h ener gy is store d in
the capa citor at that insta nt is · ·.- ~ - - .... -- - -·- -
/ ~ _1 2µW (B) 3µW
'tcf zero (D) 30µW
➔
38. Eis the elect ric field insid e a cond uctor w:hose
mate rial has cond uctiv ity cr and
➔
resis tivit y p. The_· curr ent dens ity insid e the cond uctor
is j . The corre ct form of Ohm 's law
is ·--
➔ ➔
➔ ➔
(A) E = cr j j = pE
➔ ➔
fE}> E = p j _ _
,_ (D) E . j = p _
➔➔

. _ _
39. In the circu it show n, the end A _is at pote ntial V
O and end B is grou nded . The- ·elec tric
curr ent I indic ated in the circ uifu · · --
;;..;-
·
R 2R

fvi) R R R 2R · 2~ 2R B
A I
R 2R

(A)
· _Q_
v 2V0 3V0 . Vo
(B) (C)
R R R 3R
-

Spac e for Rough Work / z.._d~ i~~ i ~~
ti ~

P A-2 18 )

40. rrhe elect ric curr ent flowing thro ugh a give n cond
ucto r vari es with time as show n in the
grap h below. The num ber of free elect rons whic h flo~ thro ugh a
give n cros s-se c~on of the
cond ucto r in the time inter val 0::;; t::;; 20 s is
..
inm A)
1· I I I I -
I I I
400 --r1 -,- -,- ,-- r--
I I

I I I I

-i--~-~--~--
- - L - .....___._ _.,_.. ...i..._
I I I l
200 - - I1
I I I
_L _ _J _ _ L __
I I I I
I J I I I
...__ -+-- +--+ --+- -- - t(s) .
· 5 10 15 20 25 ·
.(((!!!}) 3· 125 X 1019 (B) 1·6 x 1019
~ 2 5 x l 0 18 (D) 1·625 x 1018

41. The I - V grap h for a cond ucto r at two diffe rent
temp eratu res 100° C and 400° C is as show n
in the figur e. The temp eratu re coefficient of resis
tanc e of the cond ucto r is abou t (in per
I degr ee Cels ius)

t

0

/~ 3x1 0-3 ~ -6x1 0-3
\~
(C) 9 x 10-3 (D) 12 X 10-3

42. An elect ric bulb of 60 W, 120 V is to be conn ecte
~ ------
be conn ecte d in serie s with the bulb , so that the
d to 220 V sour ce. Wha t resis tanc e shou ld
____.
bulb glows prop erly ?
(A) 50 Q (B) 100 Q (D) 288 Q

Spac e for Rough Wor k / t.-d ~ ~e.,~~ ~~
u Ci)

P A-2 ( 20)

-
In an experiment to determine the temperature coefficient of resistance of a conductor, a
coil of wire X is immersed in a liquid. It is heated by an external agent. A meter bridge set
up is used to determine resistance of the coil X at different temperature s. The balancing
points measured at temperature s t = 0°C and t = 100°C are 50 cm and 60 cm respectively .
1 2
If the standard resistance taken out is S = 4 Q in ooth trials, the temperature coefficient of
the coil is

S=4Q

6
~ --- l----~

(A) 0·005°c- 1 (D)
44. A moving electron produces
(A) only efectric field
@> both electric and magnetic field
(Q} only, magnetic field
(D) neither electric nor magnetic field
45. A ~oil having 9 turns carrying a current produces magnetic field B at the centre. Now the
1
coil is rewounded into 3 turns carrying same curre1:1t. Then the ma"""gnetic field at the centre

~
/1 v::J -f·
B
(B) 9 B1 (C)

46. A particle of specific charge ~ = n C kg- 1 is projected from the origin towards positive
m
. . ➔ I\
x-axis with the velocity 10 ms-1 in a uniforin inagnetic field B = - 2k T. The velocity -;/ of
particle after time t = _!__ s will be (in ms-1 )
12
I\ I\ ~
5(i + ✓
---
3j)
I\ I\
5( ✓3i +j)
I\ I\
(A) 5(i +j) (B) (C) 5(J3i -j) 1~
47.
-
The magnetic field at the centre of a circular coil of r~dius R carrying current I is 64 times
~ ~
t he magnetic ffeld at a distance x on its axis from the centre of the coil. Then the value of x
is

(A) (B) R✓3 (C)
R
4

Space for Rough Work / wd~ ~~~~ ~~
'O' ~

P A-2 ( 22)

l

Ma gn etic hysterisis is exhibited by _ _ _ _ _ _ magnetic matcria]s.
~ only para (B) only dia
~ ' , only ferro _JPY };>0th para and ferro

f",_ ',....'
49. Magnetic susceptibility of Mg at 300 K is 1·2
x 10- 5 . What is it s susceptibilit y at 2 00 K?
(A) 18 x 10- 5 CB) 180 x 10- 5 - · 1-s x 10- 5 @· CD> o·-1s x io-
5
.
\ ,-50~ A uniform magnetic field of strength B = 2 mT exists vertically downwards . These magnetic
1-' I
I.
\__j field lines pass through a closed surface as shown in the figure. The close_d surface consists
- of a hemisphere 8 1 , a right circular cone 8 and a circular surface 8 3 . The magnetic flux
2
L~ through 8 1 and 8 2 are respectively
l. .
J

fi} <P. =- 20 µWb, <1> =+ 20 µWb
81 82 (B) <1> 8 = + 20 µWb, <1> 8 = - 20 µ Wb
1- . 2
(C) <1> = - 40 µWb, <1> = + 40 µWb (D) <1> 81 = + 4QµWb ; <1> = - 40 µWb
81 82 82
51. In the figure, a conducting ring of certain resistance is falling towards a current carrying
straight long conductor. The nng and conductor are in the same plane. Then the

B

I
(A) induced electric current is zero
induced electric current is anticlockwis e
t/ induced electric current is clockwise
( ) ring will come to rest

Space for Rough Work / ~d~ ~~~~ ~~
. v q:>

P A-2 ( 24)

-
52 · An induced current of 2 A flows through a co~l. The resist ance of the coil is 10 .Q. What is
t h e change in 111.agnetic flux associated with the coil in 1 ms ?
(A) 0·2 x 10-2 Wb ~ 2 x 10- 2 Wb
(C) 22 x 10- 2 Wb (D) 0·22 x 10-2 Wb

53. A square loop of side length 'a' is moving away from an infinitely long current carrying
conductor at a constant speed 'v' as shown. Let 'x' be the tnstantan eous distance between
the long conductor and side AB. The mutual inductanc e (M) of .the square loop - ·long
conductor pair changes with time (t) according to which ofthe'follo wing graphs?

I I
I I

::11
I I

I I
I I
I I
I I
I 1

M
(B)

(D)
~ .t
~

Space for Rough Work / wd~ ~~~~ ~~
'ti Q:)

P A-2 ( 26)

. ,· . .... • . . .. . .

54 · Which of t he following combinations should be selected'for better tuning of an LCR circuit
,. ··-, used for communication?

(A) R = 20 Q, L = 1·5 H, C = 35 µF (B) R = 25 Q, L = 2·5 H, C = 45 µF
(C) R=25Q,L=1·5H,C=45µF ~ R = 15 Q, L =3·5 H, C =30 µF

55. In an LCR series circuit the value of only capacitance C is varied. The resulting variation
of resonance frequenc~ 3:s a fup.ction of £Ean b~ repr,;ented as ----= --==
,<
(fo fo

CA) Ac <Bl ~c
(D)

J\
~ -~r ~. The figure shows variation of R, XL and Xe with frequency 'f in a series LCR circuit. Then
1

for what freque:Q,cy point is the circuit capacitive?

Xe

R

A B C D f
(A ) B (B) · D (D) C

Space for Rough Work/ ~d~ ~~~~-6- ~~
(j)

P A-2 ( 28)

57. Electromagnetic waves are incident normally on a perfectly reflecting surface having
surface area A. If r is the intensity of the incident electromagnetic r adiation and c is the
speed of light in vacuum, the force exerted by the electromagnetic wave on the reflecting
surface is
21A TA IA I
CB) (C) (D)
C C 2c 2Ac

58. The final image formed by an astronomical telescope is

(A) real, erect and diminished (B) virtual, inverted and diminished

A .real, inverted and magnified . ~ virtµal, inverted and magnified

59. · If the angle of minimum deviation is equal to angle of a prism for an equilateral prism,
then the speed of light inside the prism is _ _ _ __

~ 3x 10 ms- 1
8
(B)

~ J3 x 108 ms-1 (D) J3 x 108 ms-1
2

60. A luminous point object O is placed at a distance 2R from the spherical boundary
separating two transparent media of refractive indices n 1 and n 2 as shown, where R is the
radius of curvature of the spherical surface. If n 1 = ! , n 2 = ~ and R = 10 cm, the [email protected]
- - . 3 2
obtained at a distance from P equal to

0
... ---------p

, ~

~ _ ) lo cm in the rarer medium (B) 30 cm in the denser medium
(C) 18 cm in the rarer medium (D) 18 cm in the denser medium

Space for Rough Work/ t.-d~ :g~~:g ~~
'O' (;)

'I,

P A-2 ('30")

2P0419K24 (DAY-2 FffiST SESSION)
SU BJECT CODE
' /

TIME QUESTION BOOKLH

VERSION CODE SERIAL NUMBER

p 10.30 am to 11.50 am
A-2 :7 t r-q_ Bl---1
Total Maximum Time for Maximum Total No. of
Duration Answering Marks Questions
Mention your CET Number
•
80 Minutes 70 Minutes 60 60 \ \ (> 0 0 l. g
DOs:
1. , This question booklet is issued to you by the room invigilator after 10.30 am.
2. Check whether the CET Number has been entered and shaded in the respective circles on the OMR answer sheet.
3. The version code of this question booklet should be entered on the OMR answer sheet and the respective circles should also be
shaded completely.
4. The Version ~ode and Serial Number of this question booklet should also be entered on the Nominal Roll without any mistakes.
5. Compulsorily i;ign at the bottom portion of the OMR answer sheet in the space provided.

DONTs:
1. THE TIMING AND MARKS PRINTED ON THE OMR ANSWER SHEET SHOULD NOT BE DAMAGED/ MUTILATED/ SPOILED.
2. The 3 rd Bell rings at 10.40 am, till then;

• Do not remove the seal present on the ~ght hand side of this question booklet. ·
• Do not look inside this question booklet or start answering on the OMR answer sheet.

~ORTANT INSTRUCTIONS TO CANDIDATES
l . In case o.f usage of SIGNS AND SYMBOLS in the questions, the regular textbook connotation should be considered unless stated
otherwise. ·
2. This question booklet contains 60 questions, each question will have one statement and four different options/responses & out of
which you have to choose one correct answer.
3. Aft.er the 3 rd Bell rings at 10.40 am, remove the paper seal of this question booklet and che~k that this booklet does not have any
unprinted or torn or missing pages or items etc., if so, get it replaced by a complete test booklet. Read each item and start answering
on the OMR answer sheet.
4. Completely darken,/ shade the relevant circle with a blue or black ink ballpoint pen against the question number on the OMR
answer sheet.
;rj8clrt>ci~ _~~ ~;j,)rlw WRO~G METHODS
~®©@ @ ® © @'
CORRECT METHOD
@ee@
@e@@ @@ ©· @ @~©@
5. Please note th~t even _a minute unintended~ dot on the OMR answer sheet will also be recognized and recorded by the scanner.
Therefore, avoid multiple markings of any kind on the OMR answer sheet. ·
6. Use the space provided on each page of the question booklet for Rough Work. Do not use ~e OMR answer sheet for the same.

7. Last Bell will ring at 11.50 am, stop writing on the OMR answer sheet.
8. Hand over the OMR answer sheet to the room invigilator as it is.
9. After separating the top sheet (Office copy), the invigilator will return the bottom sheet replica (Candidate's copy) to you.

NOTE : In case of any discrepancy in the English and. Kannada Versions, the English version will be tak
. enas fima.
1

P A-2 ( 32)

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