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RPET-2014 : Sample Questions
1/5

SAMPLE QUESTIONS

uewus ds iz'u
PHYSICS
HkkSfrd foKku
1
...


3
...


The variation of angular momentum with time
for a rigid body rotating about an axis is as
shown in the figure
...
75 Joule
The Pendulum of a grand-father’s clock swings
10 cm from side to side per second
...
Ball I then moves off at
right angle to its initial direction at a speed of 4
m/s
...
Choose the
correct statement concerning these specific heats:
(1) The ratio Cp / Cv for both gases is equal
(2) The ratio Cp / Cv for helium is more
than for hydrogen
...


fdlh v{k ds lkis{k xfr'khy ,d LFkwy oLrq ds dks
...
M ij
(1) 1 twy
(2) 1 U;wVu
(3) 'kwU;
(4) 0
...


nknkth dh nhokj ?kM+h dk yksyd ,d fljs ls nwljs fljs
rd 10 ls-eh- dh nwjh ,d lSd
...


16
12
8
4

,d xsan I ftldk nzO;eku 1 fd-xzk- gS 5 eh-@lS- ds osx ls
pyrh gqbZ ,d nwljh xsan] xsan II ls Vdjkrh gSA VDdj i`"B
lihZ ,oa izR;kLFk gSA VDdj ds i'pkr~ xsan I viuh izkjfEHkd
0
fn'kk ls 90 dk dsk
...


cy ;qXe gS %

5
6
1
2

xzke v
...


6
...
When light of 6000 angstroms
is used, the bright lines of the interference
pattern will be separated by a distance in mm
equal to :
(1) 3
...
15
(3) 0
...
00

5
...
1
(2) 4
...
90
(4) 9
...


Two locomotives moving with a speed of 36 km/
hr recede from each other, One of the
locomotives whistles with a frequency of 200
Hz
...
Vs ds osx ls pyrs gq,
,d nwljs ls nwj tk jgs gSaA ,d batu 200 gV~t~
dh vko`fÙk ls lhVh ctkrk gSA nwljs batu esa cSBs
izs"kd }kjk lquh lhVh dk rkjRo gksxkA ¼gok esa
/ofu dk osx 340eh-@ls- fyft,½ %
(1) 188
(2) 212
(3) 200
(4) 224

7
...


2 fe-eh- dh nwjh ij nks js[kk fNnz ,d insZ ls 300
ls-eh- nwj j[ks gSaA 6000 ,xLVªke ds izdk'k ds fy;s
O;fDrdj
...

is 2 x 106 volts/m ?
(1) 2
...
6 x 10-7
(3) 5
...
0 x 102

;fn gok dh Hkatu oksYVrk 2 x 106 oksYV@eh- gks
rks 10 ls-eh- O;kl ds ,d pkyd xksys dks vf/kd
ls vf/kd fdruk vkos'k ¼ dqykWe esa½ fn;k tk
ldrk gS \
(1) 2
...
6 x 10-7
(3) 5
...
0 x 102

foHkoekih esa yECkk rFkk ,d leku eksVk izfrjks/kd
rkj blfy;s dke esa fy;k tkrk gS] rkfd
(1) foHkoekih dk mPp izfrjks/k gksA
(2) rkj de xeZ gksA
(3) rkj ij mPp foHkokUrj iSnk gksA
(4) de rFkk ,d leku foHko izo
...
fdlh LFkku ij ikoj ykbu dh oksYVrk 200 oksYV
gSA f'k[kj oksYVrk ¼oksYV esa½ yxHkx gksxh %
8
...


In a potentiometer a long uniformly thick
resistance wire is used to have
(1) high resistance of potentiometer
(2) small heating of the wire
(3) high potential drop along the wire
(4) uniform and small potential gradient

9
...

The peak voltage (in volts) will nearly be :
(1) 440
(2) 220
(3) 310
(4) 345
10
...
216 x 10-7 m) :
(1) 0
...


gkbMªkstu ds
dh rjax nS/;Z
ckj vk;fur
ykbeu Js
...
1 Å
(2) 10 Å
(3) 103 Å
(4) l00 Å

fy;s ykbeu Js
...
216 x 10-7 eh- gSA nl
lksfM;e ijek
...


If Chloroform is left open in air in prsence of sun rays
(1) explosion takes place
(2) poisonous gas phosgene is formed
(3) polymerisation occurs
(4) no reaction takes place

2
...
?
(1) [Ag+]2 [CrO-4]
(2) [Ag+] [CrO-4]
(3) [2Ag+] [CrO-4]
(4) [2Ag+]2 [CrO-4]

3
...


The gastric juice in our stomach contains enough
hydrochloric acid to make the hydrogen ion
concentration about 0
...
The pH of the gastric
Juice is :
(1) 0
...


;fn DyksjksQkeZ /kwi dh mifLFkfr esa ok;q esa [kqyk NksM+
fn;k tk;] rc %
(1) foLQksVu gksxk
(2) fo"kSyh QkWlthu xSl fojfpr gksxhA
(3) cgqyhdj
...


dkSu Ag2 CrO4 ds foys;rk xq
...


gekjs vkek'k; ds tBj jl esa bruk gkbMªksDyksfjd
vEy gksrk gS fd mlls gkbMªkstu vk;u lkanz
...
01
(2) 1
(3) 2
(4) 10
4
...


A metallic carbide on reaction with water gives a
colourless gas which burns readily in air and which
gives a precipitate with ammonical silver nitrate
solution
...


6
...


,d ijek
...


ogh
vf/kd
de
mis{k
...
kq Hkkj vf/kd gSA
(2) og vf/kd fo|qr _
...


8
...


,sflfVd vEy izkIr gksrk gS tcfd
(1) esfFky ,YdksgkWy dk iksVsf'k;e ijesaxusV }kjk
mip;u djk;k tkrk gSA
(2) dsfYl;e ,lhVsV dk dsfYl;e QkesZV dh
mifLFkfr esa vklou fd;k tkrk gSA
(3) ,lhVfYMgkbV dk iksVsf'k;e MkbØksesV o
lY¶;wfjd vEy }kjk mip;u gksrk gSA
(4) XyhljkWy dks lY¶;wfjd vEy ds lkFk xeZ
fd;k tkrk gSA

RPET-2014 : Sample Questions
4/5

9
...
What is the correct IUPAC name for

H
|
CH3 - C – CH = CH = CH2 = C
|
CH3

fuEu vfHkfØ;k }kjk dkSu ls inkFkZ cusaxs %

9
...


O

OH

(1) δ-Methyl-α,β-hexenoic acid
(2) 5-Carboxy-2-methyl pentene
(3) 4-Isopropyl-3-butenoic acid
(4) 5-Methyl-3-hexenoic acid

O

OH

dk uke gS %
(1) δ-Methyl-α,β-hexenoic acid
(2) 5-Carboxy-2-methyl pentene
(3) 4-Isopropyl-3-butenoic acid
(4) 5-Methyl-3-hexenoic acid

____________________________________
The key to the sample questions is as under :
2,1,3,3,4,2,3,3,1,4

MATHEMATICS

xf
...
If f: R→ R be defined by f (x) = 3x -4, f-1(x) is
(1) 1/(3x-4)
(2)
(3)
(4)
2
...


4
...


x 1
−
3 4
x+4
3
3
−4
x

The derivative of sec x is
(1) log (sec x + tan x)
(2) sec x + tan x
(3) scc x tan x
(4) log sec x tan x
The primitive of tan x is
(1) log sec x
(2) log cos x
(3) sec2 x
(4) cot x
For what value of m the roots of 12x2+mx+ 5=0
are in the ratio 3 : 2?
(1) 12/5
(2) 5/12
(3) 5/12 10
(4) 5 10

;fn f: R→ R, f(x) = 3x-4 ls ifjHkkf"kr gS]rks f-1(x)
gksxk
(1) 1/(3x-4)
(2)
(3)
(4)

x 1
−
3 4
x+4
3
3
−4
x

2
...


tan x dk lekdyu gS %
(1) log sec x
(2) log cos x
(3) sec2 x
(4) cot x
;fn 12x2 + mx + 5=0 ds ewy
rks m dk D;k eku gksxk \

4
...


Which one of the following is the value of the
determinant
1

x

5
...


9
...


A bag contains 3 red, 6 white and 7 blue balls
...
is :
(1) 7/120
(2) 7/20
(3) 13/120
(4) 1/120

8
...
B
will be :
(1) 2
(2) 5
(3) 4
(4) 6

10 If the straight line y = mx + c is a tangent to the
circle x2 + y2 = a2 , then c is equal to :
(1) a/m
(2) a 1 − m

 2 0
3 0 
 rFkk B = 
;fn A = 
0 6
 0 2  gks rks





fuEufyf[kr esa ls dkSulk lgh gS \
(1) AB = BA
(2) AB ≠ BA
(3) AB = -BA
(4) AB = A2

(1) AB = BA
(2) AB ≠ BA
(3) AB = -BA
(4) AB = A2
7
...
kd

2

(3) a 1 + m2
(4) am
__________________________________
The key to the sample questions is as under :
3,3, 1,4,2, 1,2,2,3,3

;fn cos α+cosβ+cos γ = 0 rFkk sin α+sinβ+sin γ
=0, gks rks cos 3α + cos3β + cos3γ dk eku gksxk:
(1) cos3 (α+β+γ)
(2) 3cos (α+β+γ)
(3) cos (α+β+γ)
(4) cos (3α+3β+3γ)

,d FkSys esa ls 3 yky] 6 lQsn RkFkk 7 uhyh xsansa
gSA FkSys esa ls 2 xsans fudkyh xbZ gSA muds lQsn
vkSj uhyh gksus dh izkf;drk gS %
(1) 7/120
(2) 7/20
(3) 13/120
(4) 1/120

9
...
B
(1) 2
(2) 5
(3) 4
(4) 6

10

A

→

=2i + 2j – k rFkk B =6i – 3j + 2k gS

rks

eku gksxk :

;fn ljy js[kk y = mx + c o`Ùk x2 + y2 = a2 dh
Li'kZ js[kk gks rks c dk eku gksxk %
(1) a/m
(2) a 1 − m2
(3) a 1 + m2
(4)



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