CET Mock Test

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CET Mock Test

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1)A string breaks under a maximum tension of 102 newton. If a particle of mass 10 g is whirled by the string of length 1 meter, the maximum frequency of rotation will be *

2 points

0.5 Hz

50 Hz

16 Hz

None

2)A planet has twice the values of mass and radius of earth, acceleration due to gravity on the surface of the planet is

2 points

9.8 meter per sec sq

4.5 meter per sec sq

19.6 meter per sec sq

980 meter per sec sq

Clear selection

3)If a wire of resistance 25 Ω is uniformly stretched until its length becomes three times its original length then its new resistance is *

2 points

100 ohm

225 ohm

2.25 ohm

122.5 ohm

4)The modulus of elasticity is dimensionally equivalent to *

2 points

stress

strain

surface tension

elastic fatigue

5)The displacements of two interfering light waves are given by y_1=3 sinwt and y_2=4 sin⁡〖(wt+π/2 〗). The amplitude of resultant wave is∶ *

2 points

6)The numerical aperture of an objective of a microscope is 0.5 and the wavelength of light used Is 5000 Å. Its limit of resolution will be *

2 points

6.1×〖10〗^7 m

6.1×〖10〗^(-7) m

6.1×〖10〗^(-4) m

6.1×〖10〗^4 m

7)Force between two charges, when placed in free space is 10 N. If they are in a medium of relative permittivity 5, the force between them will be *

2 points

50N

0.5N

10N

8)Water can rise up to a height of 12 cm in a capillary tube. If the tube is lowered to keep only 9 cm above the water level then the water at the upper end of capillary will : *

2 points

Overflow

Form a convex surface

Form a flat surface

Form a concave surface

9)A body has rotational energy by virtue of its motion is 1000 kgm2 has an angular speed of 20 rad/sec in anti clock wise direction. The body has rotational inertial about the axis is : *

2 points

20 kg meter sq

5 kg meter sq

2.5 kg meter sq

2 kg meter sq

10)A magnetic needle is kept in a non uniform magnetic field. It experience *

2 points

A force and torque

A torque but not a force

A force but not a torque

Neither a torque nor a force

11)10. In J. J. Thomson’s experiment, electrons enter the space between the plates with a velocity of 108 m/s & the magnetic field is 3 x 10–3 Wb/m2. If the electron beam passes undeviated, thep.d. between the plates if the distance between them is 0.5 cm *

2 points

1400V

1500 V

1350 V

3000 V

12)Photon of energy 5 eV is incident on a metalsurface. The stopping potential was found to be3.5 V. The work function of metal is *

2 points

1.5 eV

2.5 eV

15 eV

5 eV

13) The volume of a gas at 27°C and 760 mm atmospheric pressure is 500 c.c. What will be the volume of the gas at 27°C and 380 mm of mercury pressure? *

2 points

500cc

600 cc

750 cc

1000 cc

14)Phase difference between two particles of a medium lying between two consecutive nodes is *

2 points

π /2

π /3

zero

15)The range of audible frequency is : *

2 points

Less than 20 Hz

Greater than 20 kHz

Between 20Hz to 20 kHz

Between 50 Hz to 50 kHz

16)The only statement among the following that is tautology is *

2 points

B→[A∩(A→B)]

A ∩(A∪B)

A ∪(A∩B)

[A∩(A→B)]→B

17)In ∆ABC,if A,B,C are in AP,then:a/c(sin2C)+ c/a(sin2a)=…. *

2 points

1/2

(√3)/2

)√3

18)If tan^(-1)⁡x+ tan^(-1)⁡y+tan^(-1)⁡z=π/2 then xy+yz+zx is.....(read as tan inverse) *

2 points

19)If tan⁡α+ cot⁡α=m,then tan4α⁡+ cot⁡4α is ......(4 is power to tan and cot) *

2 points

m^4-4m^2+2

m^4+4m^2-2 c

m^4-4m^2-2

m^4+4m^2+2

20))If the angle between the lines y^2+kxy-x^2.tan2_(A=)0 is 2A,then:k=… *

2 points

-2

21)Lines x^2+4xy+y^2=0 and x-y=4 represents the sides of a triangle which is *

2 points

equilateral

right angled

isosceles

None

22)Angle between vectors a and b where a,b,and c are unit vectors satisfying a+b+√3c =0 is *

2 points

π/6

π/4

π/3

π/2

23)Number of lines in space which are equally inclined to three coordinate axes are *

2 points

24)Equation of plane passing through A(0,-1,3) and perpendicular to the join of A to B (1,3,5) is *

2 points

2x+4y+z=2

x-4y+2z=2

3x+z=0

x+4y+2z=2

25)Value of f(0),if f(x)=(3sinx-sin3x)/x^3 is continuous at x=0,is *

2 points

-4

26)If f(x)=sinπx/5x ,if x≠0 and f(x)=sinπx/5x if x=0 is continuous at x=0,then k=…. *

2 points

5/π

5π

π/5

27)If f(1)=1 and f’(1)=2 then lim┬(x→1)⁡〖(√(f(x) )-1)/(x-1)〗= *

2 points

28)If u=secx +tan x-1,v=secx-tanx+1,then u’v+v’u=

2 points

sec^2 x

-sec^2 x

2sec^2 x

-2sec^2 x

Clear selection

29)If displacement S at time t is S=10t-5t^2 then velocity at time t is *

2 points

-10t

10(1-t)

10(t-1)

10t

30)〖(85)〗^(1/4) =….. *

2 points

3.3

3.034

3.4

30.50

31)f(x)=x^3-6x^2+9x-2 has maximum at the point *

2 points

(-2,3)

(3,-2)

(2,3)

(1,2)

32)∫tan⁡x/(sec⁡x+ tan⁡x ) dx=⋯. *

2 points

sec⁡x-tan⁡x+c

x+sec⁡x+tan⁡x

x-sec⁡x+tan⁡x

x+ sec⁡x-tan⁡x

33)∫(logx)^2/x dx=… *

2 points

1/3 logx^3+c

3logx+c

3e^(-x) logx+c

34)∫_0^(π/2)▒(sinx+cosx)^2/(√((1)+sin2x))dx=…..(lim 0 to π/2) *

2 points

35)if A is a singular matrix then adj.A is *

2 points

singular

non singular

symmetric

not defined

36)At STP 28gmof nitrogen gas(molar mass)occupies a volume of *

2 points

11.3 dm^3

22.4 cm^3

22.4 dm^3

11.2 cm^3

37)10gm oxygen was introduced in an evacuated container of 5dm^3 volume at 27 C.What is the pressure of gas in N/m^2 *

2 points

155.9 N/m^2

105.9 N/m^2

125.9 N/m^2

165.9 N/m^2

38)When 6 gm urea dissolve in 180 gm H2O. The mole fraction of urea is [Mol. Wt. of urea=60] *

2 points

10/10.1

10.1/10

10.1/0.1

0.1/10.1

39)The normality of 10 % (weight /volume) acetic acid is *

2 points

1 N

10 N

1.66 N

0.83 N

40)Identify the ‘state function’ among the following : *

2 points

q × w

q/w

q + w

41)The rate constant of a first order reaction whose half-lifeis 480 S is : *

2 points

1.44 × 10^(-3) /S

1.44 /S

0.72 ×10^(-3)/S

2.88 ×10^(-3)/S

42)Gem-dibromide is *

2 points

CH_3 CH(Br)CH(Br) CH_3Cl

CH_3 CBr_2 CH_3

CH_2 (Br) CH_2 CH_3

CH_2 BrCH_2 Br

43)Primary alcohols are obtained by the reaction of Grignard reagent with *

2 points

CH3COCH3

HCOOH

HCHO

CH3CHO

44)Primary alkyl bromides are prepared by treating alcohols with *

2 points

Red P and Br2

NaBr + H2SO4

HBr

All of them

45)Acetaldehyde react with HCN : *

2 points

Tartaric acid

Acetaldehyde Cyanohydrin

Acrylic acid

Malonic acid

46)How many water molecular are used during hydrolysis of tetrasccharide? *

2 points

47)Celloboise exhibits __________bond. *

2 points

1-2 α– glycoside

1-2 β - glycoside

1-4 α– glycoside

1-4 β– glycoside

48)Bithinol is *

2 points

analgesic

antacid

antibiotic

Antiseptic

49)The IUPAC name of the compound CH_3-NH-CH_3 is *

2 points

Dimethylamine

2-aminopropane

N-methylmethanamine

N-methylaminomethane

50)Complex compounds are mainly formed by *

2 points

p-block elements

f- block elements

d- block elements

s- block elements

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