Q1.
The temperature of an ideal gas is increased from 27 °C to 927 °C. The root mean square speed of
becomes
(a) twice
(b) half
(c) four times
(d) one fourth
Q2.
its molecules
At a given volume and temperature, the pressure of a gas
(a) varies inversely as its mass
(b) varies inversely as the square of its mass
(c) varies linearly as its mass
(d) is independent of its mass
Q3.
A monatomic ideal gas, initially at temperature T1 is enclosed in a cylinder fitted with a frictionless
piston. The gas
is allowed to expand adiabatically to a temperature T2 by releasing the piston
suddenly. If L1 and L2 are the lengths of the
gas column before and after expansion respectively,
then T1 / T2 is given by
(a) (L1 / L2 )2/3
(b) (L1 / L2)
(c) (L2 / L1 )
(d) (L2 / L1 )2/3
Q4
A cycle tyre bursts suddenly. This represents an
(a) isothermal process
(b) isobaric process
(c) isochoric process
(d) adiabatic process
Q5.
The slope of isothermal and adiabatic curves are related as
(a) isothermal curve slope = adiabatic curve slope
(b) isothermal curve slope = g (adiabatic curve slope)
(c) adiabatic curve slope = g (isothermal curve slope)
(d) adiabatic curve slope = (1/2) (isothermal curve slope)
Q6.
2n
A box contains n molecules of gas. How will the pressure of the gas be affected if the number of
(a) pressure will decrease
(b) pressure will remain unchanged
(c) pressure will be doubled
(d) pressure will become three times
Q7.
The pressures P of an ideal gas and its mean kinetic energy per unit volume are related as
(a) P =
(b) P = E
(c) P =
(d) P =
Q8.
If a gas has f degrees of freedom, the ratio of the specific heats g the gas is
(a)
(b)
(c) 1 +
(d)
molecules is made
Q9.
The temperature of gas is produced by
(a) the potential energy of its molecules
(b) the kinetic energy of its Molecules
(c) the attractive force between its molecules
(d) the repulsive force between its molecules
Q10
A polyatomic gas with f degrees of freedom has a mean energy per molecules given by
(a)
(b)
(c)
(d) None of these
Q11
The number of translational degrees of freedom for a diatomic gas is
(a) 2
(b) 3
(c) 5
(d) 6
Q12
The internal energy U is a unique function of any state because change in U
(a) does not depend upon path
(b) depends upon path
(c) corresponds to an adiabatic process
(d) corresponds to an isothermal process
Q13.
A cube of side 5 cm made of iron, and having a mass of 1500 gm, is heated from 25° C to 400° C.
The specific heat
for iron is 0.12 cal/gm °C and the coefficient of volume expansion is 3.5 x 10–5 /
°C. The change in internal energy of the
cube is (atmospheric pressure = 105 N/m2):
(a) 320 kJ
(b) 282 kJ
(c) 141 kJ
(d) 423 kJ
Q14.
One end of a copper rod of length 1.0 m and area of cross-section 10–3 m2 is immersed in boiling
water and other
end in ice. If the coefficient of thermal conductivity of copper is 92 cal/ms C° and
the latent heat of ice is 8 x 104 cal/kg., then
the amount of ice which melt in one minute is:
(a) 9.2 x 10–3 kg
(b) 8 x 103 kg
(c) 6.9 x 10–3 kg
(d) 5.4 x 10–3 kg
Q15.
A tap supplies water at 10 °C and another tap at 100 °C. How much hot water must be taken so
water at 25°C?
(a) 7.2 kg
(b) 10 kg
(c) 5.6 kg
(d) 14.4 kg
Q16.
that we get 20 kg
The average kinetic energy per mole of hydrogen at a given temperature is:
(a) equal to that of helium
(b) 3/5 times that of helium
(c) 5/3 times that of helium
(d)
times that of helium
Q17.
A closed compartment containing gas is moving with some acceleration in horizontal direction.
gravity. Then the pressure in the compartment is:
(a) same everywhere
(b) lower in the front side
(c) lower in the rear side
(d) lower in the upper side
Neglect effect of
Q18.
The volume of air increases by 5 % in its adiabatic expansion. The percentage decrease in its
(a) 5 %
(b) 6 %
(c) 7 %
(d) 8 %
pressure will be:
Q19.
Two spherical vessels of equal volume are connected by a narrow tube. The apparatus contains an
ideal gas at
one atmosphere and 300 K. Now if one vessel is sphere and 300 K. Now if one vessel
is immersed in a bath of constant
temperature 600 K and the other in a bath of constant temperature
300 K, then the common pressure will be:
(a) 1 atm
(b)
(c)
(d)
atm
atm
atm
Q20
A wall has two layers A and B, each made of different material. Both the layers have same thickness.
The thermal
conductivity of A is twice that of B. Under thermal equilibrium, the temperature
difference across the wall is 36 °C. The
temperature difference across the layer A is:
(a) 24 °C
(b) 18 °C
(c) 12 °C
(d) 6 °C
Q21
Which of the following quantities are always zero in a simple harmonic motion ?
(a)
(b)
(c)
(d) all of these
Q22
Suppose a tunnel is dug along a diameter of the earth. A particle is dropped from a point, a distance
above the tunnel. the motion of the particle is
(a) Simple harmonic
(b) Parabolic
(c) Oscillatory
(d) non − Periodic
Q23
The motion of a particle is given by x = A sin wt + B cos wt. The motion of the particle is
(a) Not simple harmonic
(b) Simple harmonic with amplitude
(c) Simple harmonic with amplitude (A+ B)/2
(d) Simple harmonic with amplitude
Q24
When a sound wave goes from one medium to the quantity that remains unchanged is
(a) Frequency
(b) Amplitude
(c) Wavelength
(d) Speed
Q25
The differential equation of a wave is
(a) d2y/dt2 = v2d2y/dx2
(b) d2y/dx2 = v2d2y/dt2
(c) d2y/dx2 = d2y/dt2
(d) d2y/dx2 = − vd2y/dt2
h directly
Q26
The relation between velocity of sound in a gas (v) and r.m.s. velocity of molecules of gas (Vrms.) is
(a) v = Vrms (g/3)1/2
(b) Vrms = v(2/3)1/2
(c) v = vrms
(d) v = Vr.m.s. (3/g)1/2
Q27
When a wave is reflected from a denser medium, the change in phase is
(a) 0
(b) p
(c) 2 p
(d) 3 p
Q28
A closed pipe has certain frequency. Now its length is halved. Considering the end correction, its
become
(a) Double
(b) More than double
(c) Less than double
(d) Four times
frequency will now
Q29
The fundamental frequency of a closed end organ pipe is n. Its length is doubled and radius is halved.
will become nearly
(a) n/2
(b) n/3
(c) n
(d) 2n
Q30
The equation of a plane progressive wave is y = 0.9 sin 4 p
amplitude becomes
when it is reflected at a rigid
Its frequency
support, its
of its previous value. The equation of the reflected wave is
(a) y = 0.6 sin 4p
(b) y = − 0.6 sin 4p
(c) y = − 0.9 sin 8p
(d) y = − 0.6 sin 8p
Q31
Three transverse waves are represented by
y1 = A cos (kx - wt)
y2 = A cos (kx + wt)
y3 = A cos (ky - wt)
The combination of waves which can produce stationary waves is
(a) y1 and y2
(b) y2 and y3
(c) y1 and y3
(d) yl, y2 and y3
Q32
If two waves of same frequency and same amplitude, on superposition, produce a resultant
amplitude, the wave differ in phase by
(a) p
(b) 2 p/3
(c) Zero
(d) p/3
Q33
A body of mass 5 gram is executing S.H.M. A point O. with an amplitude of 10 cm, its maximum is
velocity will be 50 cm s−1 at a distance (in cm)
(a) 5
(b) 5
disturbance of the same
100 cm/s. Its
(c) 5
(d) 10
Q34
The potential energy of a particle (Ux) executing SHM is given by
(a) Ux =
(b) Ux = K1x + K2x2 + K3x3
(c) Ux = Ae −bx
(d) Ux = a cosntant
Q35
A second's pendulum is placed in a space laboratory orbiting around the earth at a height 3 R from
surface where R is earth's radius. The time period of the pendulum will be
(a) Zero
the earth's
(b) 2
(c) 4 sec
(d) Infinite
Q36
m−2 ?
The threshold intensity of sound is 10−12 W m−2. What is the intensity level of sound whose
intensity is 10−8 W
(a) 40 dB
(b) 8 dB
(c) 12 dB
(d) 20 dB
Q37
Two sinusoidal plane waves of same frequency having intensities I0 and 4 I0. are traveling in the
resultant intensity at a point at which waves meet with a phase difference of zero
radian is
(a) I0
(b) 5 I0
(c) 9 I0
(d) 3 I0
Q38
A child swinging on a swing in sitting position, stands up, then the time period of the swing will
(a) increase
(b) decrease
(c) remains same
(d) increases of the child is long and decreases if the child is short
Q39
The displacement y of a wave traveling x -direction is given by
same direction, the
y =10−4 sin
metres
where x is expressed in metres and t in seconds. The speed of the wave - motion in ms−1 is
(a) 300
(b) 600
(c) 1200
(d) 200
Q40
The displacement of a particle varies according to the relation x = 4 (cos pt + sin pt ). The amplitude
(a) − 4
(b) 4
(c) 4
(d) 8
[ Chemistry ]
Q41.
A gas will approach ideal behavior at
(a) Low temperature and low pressure
(b) Low temperature and high pressure
of the particle is
(c) High temperature and low pressure
(d) High temperature and high pressure
Q42.
Which of the following has maximum root mean square velocity at the same temperature?
(a) SO2
(b) CO2
(c) O2
(d) H2
Q43.
The total kinetic energy of 2 moles of an ideal gas at 127°C is (R = 8.3 JK-1 mol-1)
(a) 9.96 kJ
(b) 19.92 kJ
(c) 3.32 kJ
(d) 39.84 kJ
Q44.
The vapour density of a gas is 11.2. The volume occupied by 11.2 gm of this gas NTP is:
(a) 1 L
(b) 11.2 L
(c) 22.4 L
(d) 20 L
Q45.
The unit of van der Waal's constant ‘a’ is
(a) litre
(b) atmosphere
(c) atmosphere litre2 mole-1
(d) atmosphere (litre)2 (mole)-2
Q46.
The value of gas constant per mole is approximately(a) 1 cal
(b) 2 cal
(c) 3 cal
(d) 4 cal
Q47
Dalton's law of partial pressure is not applicable to
(a) H2 and N2 mixture
(b) H2 and C12 mixture
(c) H2 and CO2 mixture
(d) None
Q48
The total pressure of a mixture of two gases is(a) The sum of partial pressures of each gas
(b) The difference in partial pressures
(c) The product of partial pressures
(d) The ratio of partial pressures.
Q49
While He is allowed to expand through a, small jet under adiabatic condition heating effect is
to the fact that (a) Helium is an inert gas
(b) Helium is a noble gas
(c) Helium is an ideal gas
(d) The inversion temp. of helium is very low
Q50
The increasing order of effusion among the gases, H2 , O2 , NH3 and CO2 is (a) H2 , CO2, NH3 , O2
(b) H2 , NH3 , O2 , CO2
(c) H2, O2, NH3 , CO2
(d) CO2 , O2 , NH3 , H2
Q51
In which of the following pairs the gaseous species diffuse through a porous plug with the same rate
(a) NO, CO
(b) NO, CO2
(c) NH3 , PH3
(d) NO , C2H6
Q52
Solubility of a gas in water (a) Increases with temperature
observed. This is due
of diffusion
(b) Decreases with pressure
(c) Decreases with temperature
(d) None
Q53
Which is not correct in terms of kinetic theory of gases
(a) Gases are made up of small particles called molecules
(b) The molecules are in constant motion
(c) When molecules collide, they lose energy
(d) When the gas is heated, the molecules moves faster
Q54
Which one of the following gases would have the highest R.M.S. velocity at 25°C (a) Oxygen
(b) Carbon dioxide
(c) Sulphur dioxide
(d) Carbon monoxide.
Q55
At S.T.P. the order of mean square velocity of molecules H2, N2 , O2 and HBr is (a) H2 >N2 > O2 >HBr
(b) HBr > O2 > N2 > H2
(c) HBr > H2 > O2 >N2
(d) N2 > O2 > H2 > HBr
Q56
Most probable velocity average velocity and root mean square velocity are related as (a) 1 : 1. 128 : 1.224
(b) 1 : 1.128 : 1.424
(c) 1 : 2.128 : 1.224
(d) 1 : 1.428 : 1.442
Q57
Which of the following gases is adsorbed strongly by charcoal (a) CO
(b) N2
(c) H2
(d) NH3
Q58
V versus T curves at constant pressure P1 and P2 for an ideal gas are shown in the figure Which is
correct -
(a) P1 > P2
(b) P1 < P2
(c) P1 = P2
(d) All
Q59.
correct
Figure shows graphs of pressure versus density for an ideal gas at two temperatures T1 and T2 .
(a) T1 > T2
(b) T1 = T2
(c) T1 < T2
(d) None of the above
Which is
Q60.
I, II, III are three isotherms respectively at T1, T2 and T3. Temperature will be in order
(a) T1 = T2 = T3
(b) T1 < T2 < T3
(c) T1 > T2 > T3
(d) T1 > T2 = T3
Q61
Tilden's reagent is(a) C6H5SO2Cl
(b) NOCI
(c) ClNH2
(d) (C2H5)2Zn
Q62
Which of the following compound gives the smell of mustard oil(a) Alkyl isocyanate
(b) Alkyl isothiocyanate
(c) Alkyl isocyanide
(d) Alkyl isonitrile
Q63
In the reaction CH3NH2
(a) (CH3)3N
(b) (CH3)4N+ Cl(c) (CH3)4N+OH(d) (CH3)2NH
Q64
Suitable explanation for the order of basic character (CH3)3N < (CH3)2NH is(a) Steric hindrance by bulky methyl group
(b) Higher volatility of 30 amine
(c) Decreased capacity for H- bond formation with H2O
(d) Decreased electron - density at N atom
Q65
Ethylamine can be prepared by the all except (a) Curtius reaction
(b) Hofmann reaction
(c) Mendius reaction
(d) Reduction of formaldoxime
Q66.
Match list I with list II and then select the correct answer from the codes given below the lists
List I
List II
(A) Rapid heating of urea
(a) Urethane
(B) Slow and gentle heating of urea
(b) Sodium carbonate
(C) Refluxing of urea with alkanol
(c) Cyanuric acid
(D) Heating of urea with aqueous NaOH solution
(d) Biuret
Codes
(a) Ac, Bd, Cb, Da
(b) Ac, Ba, Cb, Dd
(c) Ac, Bd, Ca, Db
(d) Ac, Bb, Cd, Da
Q67.
Urea reacts with formaldehyde to form a plastic known as
(a) Bakelite
(b) Teflon
(c) Urea – formaldehyde resin
(d) Methyluracil
X
Y Z the final product Z is moist
Q68
The compounds A, B and C in the reaction sequence,
are given by the set (a) Phosphine, PCl3, CH3CONH2
(b) Urea, NH2 - NH2, CH3CONHCONH2
(c) O = CH - NH2 , NH2 - NH2, CH3 - NH - CO - NH2
(d) Urea, N2, acetylurea
Q69
Which reaction sequence would be best to prepare 3 - chloroaniline from benzene (a) Chlorination, nitration, reduction
(b) Nitration, chlorination, reduction
(c) Nitration, reduction, chlorination
(d) Nitration, reduction, acetylation, chlorination, hydrolysis
Q70
C6H6 + A
C6H5CONH2
A in the above reaction is (a) NH2 CONH2
(b) ClCONH2
(c) CH3CONH2
(d) CH2(Cl)CONH2
Q71
The species responsible for nitration and sulphonation by nitric acid, conc. H2SO4 and fuming
(a) NO2 and SO3
(b) NO2+ and SO3
(c) NO+ and SO2
(d) NO2 and SO2
Q72
Nitrobenzene on reduction in acidic medium gives (a) Aniline
(b) Nitrosobenzene
(c) Azobenzene
(d) Phenyl hydroxyl amine
Q73
Match list I with list II and then select the correct answer from the codes given below the lists List I
List II
(A) Nitrobenzene
(a) Used as explosive
(B) Trinitrotoluene
(b) Used as powerful reducing agent
(C) Azobenzene
(c) Used in preparation of dyes
(D) Phenyl hydroxylamine
(d) Used as cheap scent
Codes:
(a) Aa, Bc, Cd, Db
(b) Ab, Bc, Cd, Da
(c) Ad, Ba, Cc, Db
(d) Ad, Ba, Cb, Dc
Q74
Which of the following statements is untrue for pheny1hyroxylamine (a) It reduces Tollen's reagent
(b) It is prepared by reducing nirtrobenzene with zinc dust and aqueous ammonium chloride
(c) It absorbs oxygen from air to form nitrobenzene
(d) It absorbs oxygen from air to form nitrosobenzene
Q75
Nitrobenzene on reduction in alkaline medium gives (a) Aniline
(b) Nitrosobenzene
(c) Hydrazobenzene
(d) Phenylhydroxyl amine
H2SO4 are-
Q76.
The major product (70-80%) of the react between m – dinitrobenzene with NH4HS is
(a)
(b)
(c)
(d)
Q77.
A
f–CHO
A and B respectively are (a) Benzoyl chloride, benzonitrile
(b) Benzyl chloride, benzylnitrile
(c) Benzal chloride, benzonitrile
(d) Benzotrichloride, benzonitrile
B
Q78
Benzaldehyde is heated with a conc. solution of KOH to form (a) C6H5CH2OH
(b) C6H5COOH
(c) C6H5COOK
(d) C6H5COOK + C6H5CH2OH
Q79.
Hydrobenzamide is formed in the reaction (a) C6H5COOH + NH3
(b) C6H5CHO + NH3
(c) HCHO + NH3
(d) CH3COCH3 +NH3
Q80.
HCHO and C6H5CHO can be distinguished by (a) Fehling solution
(b) Tollen's reagent
(c) KMnO4
(d) All of these
[ Mathematics ]
Q81
The maximum number of points into which 4 circles and 4 straight lines intersect is
(A) 26
(B) 50
(C) 56
(D) 72
Q82
The number of products that can be formed with 10 prime numbers taken two or more at a time is
(A) 210
(B) 210 − 1
(C) 210 − 11
(D) 210 − 10
Q83
The number of rectangles in the following figure is
(a) 5 x 5
(b) 5P2 x 5P2
(c) 5C2 x 5C2
(d) None of these
Q84
If n(B) = 2 and the number of mappings from A to B which are onto is 30, then number of elements
(A) 4
(B) 5
(C) 6
(D) None of these
Q85
The number of ways in which 6 red roses and 3 white roses can form a garland so that all the white
together is
(A) 2170
(B) 2165
(C) 2160
(D) 2155
Q86
We are required to form different words the help of the word INTEGER. Let m1 be the number of
and N are never together and m2 be the number of words which begin with I and
(A) 42
(B) 30
(C) 6
end with R, then
in A is
roses come
words in which I
is equal to
(D)
Q87
The number of divisors of 3630, which have a remainder of 1 when divided by 4, is
(A) 12
(B) 6
(C) 4
(D) None of these
Q88
The sum of divisors of 25 . 37 . 53. 72 is
(a) 26 . 38 54 73
(b) 26 . 38 . 54 . 73 − 2 . 3 . 5 . 7
(C) 26 . 38 . 54 . 74 − 1
(D)
Q89
If in a chess tournament each contestant plays once against each of the others and in all 45 games are
then the number of participants is
(A) 9
(B) 10
(C) 15
(D) None of these
Q90
The number of ways of choosing 10 balls from infinite white, red, blue and green balls is
(A) 70
(B) 84
(C) 286
(D) 86
played,
Q91
Number of positive unequal integral solutions of the equation x + y + z = 6 is
(A) 4!
(B) 3!
(C) 5!
(D) 2 x 4!
Q92
20 people are to travel by a double decker bus which can carry 9 in the lower deck and 11 in the
upper deck. In
how many ways can the party be seated if 4 keep themselves in the lower deck and
5 keep in the upper deck ?
(A) (11!)2 x 9!
(B) 11P5 . 6P6
(C)
(11!)2
(D) None of these
Q93
The number of all possible selections of one 10 or more questions from 10 given questions, each
an alternative is
(A) 310
(B) 210 − 1
(C) 310 − 1
(D) 210
question having
Q94
There were two women participating in a chess tournament. Every participant played two games with
the other
participants. The number of games that the men played between themselves proved to
exceed by 66 the number of games
that the men played with the women. The number of participants
is
(A) 6
(B) 11
(C) 13
(D) None of these
Q95
There are 4 parcels and 5 post offices. In how many ways can 4 parcels be got registered?
(A) 20
(B) 45
(C) 54
(D) 54 − 45
Q96
Six X have to be placed in the squares of adjoining figure such that each row contains at least one X.
different ways can this be done ?
In how many
(A) 28
(B) 27
(C) 26
(D) 25
Q97
On a railway there are 10 stations. The number of types of tickets required in order that it may be
a passenger from every station to every other is
possible to book
(A)
(B) 10!2!
(C)
(D)
Q98
How many words can be formed by taking 4 letters at a time out of letters of the word
(A) 2500
(B) 2550
(C) 2454
(D) 3000
MATHEMATICS?
Q99
There are 10 cages for keeping 10 animals in circus in which 4 cages are so small that 5 animals out
enter into them. In how many ways can 10 animals be kept in 10 cages ?
(A) 66400
(B) 86400
(C) 96400
(D) 96000
Q100
A letter lock contains 5 rings each marked with four different letters. The number of all possible
attempts to open the lock is
(A) 625
(B) 1024
(C) 624
(D) 1023
Q101
If
,y,
(a) AP
(b) GP
(c) HP
(d) None of these
be in AP then x,
Q102
If a, b, c be in AP ., b, c, d are in GP ., and c, d, e are in HP , then a, c, e will be in
(a) AP
(b) GP
(c) HP
(d) None of these
Q104
If pth , qth, rth and sth terms of an AP are in GP then q − q, q − r, r − s are in
(a) AP
(b) GP
(c) HP
(d) None of these
Q105
The nth term of the series 4, 14, 30, 52, 80, 114 ………. is
(a) n2 + n + 2
(b) 3n2 + n
(c) 3n2 − 5n + 2
(d) (n + 1)2
Q106
If in the expansion of (1 + x), the coefficients of (2r + 3)th and (r − 1)th terms are equal, then the
(a) 5
(b) 6
(c) 4
(d) 3
Q107
The coefficient of x17 in the expansion of (x − 1) (x − 2) (x − 3) ….. (x − 18) is
(a) 342
(b)
(c) − 171
(d) 684
The middle term in the expansion of
(a) 251
(b) 252
unsuccessful
, z will be in
Q103
Three non − zero real numbers form an AP and the squares of these numbers taken in the same
GP then the number of all possible common ratios of the GP is
(a) 1
(b) 2
(c) 3
(d) None of these
Q108
of 10 can not
is
order form a
value of r is
(c) 250
(d) None of these
Q109
If in the expansion of
(a) r =10
(b) r = 11
(c) r = 12
(d) r = 13
occurs in the rth term, then
Q110
The value of
upto three decimal places is
(a) 9.949
(b) 9.958
(c) 9.948
(d) None of these
Q111
is equal to
(a)
(b)
(c) log (2x +1)
(d) log
Q112
The sum of the series log 4 2 − log 8 2 + log 16 2 − …, is
(a) e2
(b) log e 2 + 1
(c) log e 3 − 2
(d) 1 − log e 2
Q113
2 log x − log (x + 1) − log (x − 1) is equal to
(a)
(b)
(c) −
(d) None of these
Q114
The coefficient of xn , where n is a multiple of , in the expansion of log (1 + x + x2) is
(a) −
(b)
(c)
(d) None of these
Q115
The sum of the series
(a) log e x
is equal to
(b) 2 log e x
(c) − log e (x + 1)
(d) None of these
Q116.
If the system of equations x – ky – z = 0, kx – y – z = 0, x + y – z = 0 has a non-zero solution, then
values of k are:
(a) – 1, 2
(b) 1, 2
(c) 0, 1
(d) – 1, 1
Q117.
If A =
and B =
(a) 1
(b) – 1
(c) 4
(d) no real values
Q118.
If A =
(a) ± 1
(b) ±2
(c) ± 3
(d) ± 5
Q119.
If A =
(a) (– 6, – 11)
(b) (6, 11)
(c) (– 6, 11)
(d) (6, – 11)
Q120.
If P =
(a)
(b)
(c)
(d)
, then value of a for which A2 = B
and | A3 | = 125 then the value of a
and I =
and A =
and A–1 =
is:
is:
, then the value of c and d are:
and Q = PAPT and x = PTQ2005P then x is equal
to:
the possible
Answ ers