Vr's JEE Mock Test -1

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  • 1/90 Questions

    A capacitance of 2 μF is required in an electrical circuit across a potential difference of 1.0 kV. A large number of 1 μF capacitors are available which can withstand a potential difference of not more than 300 V. The minimum number of capacitors required to achieve this is :

    • 2
    • 16
    • 24
    • 32
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About This Quiz


INSTRUCTIONS The Mock Test consists of 90 questions. The maximum marks are 360. The test is of 3 hours duration. There are three parts in the question paper A, B, C consisting of, Physics, Chemistry and Mathematics having 30 questions in each part of equal weightage. Each question is allotted 4 (four) marks for each correct response. 1/4 (one fourth) marks See morewill be deducted for indicating incorrect response of each question. No deduction from the total score will be made if no response is indicated for an item in the answer sheet. There is only one correct response for each question. Filling up more than one response in each question will be treated as wrong response and marks for wrong response will be deducted accordingly.

Vrs JEE Mock Test -1 - Quiz

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  • 2. 

    A student measured the length of a rod and wrote it as 3.50 cm. Which instrument did he use to measure it ?

    • A screw gauge having 100 divisions in the circular scale and pitch as 1 mm.

    • A screw gauge having 50 divisions in the circular scale and pitch as 1 mm.

    • A meter scale

    • A vernier calliper where the 10 divisions in vernier scale matches with 9 division in main scale and main scale has 10 divisions in 1 cm.

    Correct Answer
    A. A vernier calliper where the 10 divisions in vernier scale matches with 9 division in main scale and main scale has 10 divisions in 1 cm.
    Explanation
    Least count of varnier calliper is 0.01 cm .Hence it matches with the reading

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  • 3. 
    A mass ‘m’ is supported by a massless string wound around a uniform hollow cylinder of mass m and radius R. If the string does not slip on the cylinder, with what acceleration will the mass fall on release? - ProProfs

    A mass ‘m’ is supported by a massless string wound around a uniform hollow cylinder of mass m and radius R. If the string does not slip on the cylinder, with what acceleration will the mass fall on release?

    • 5g/6

    • 2g/3

    • G/2

    • G

    Correct Answer
    A. G/2
    Explanation
    mg–T=ma
    T×R= mR2 /2 * a/R
    a= g /2

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  • 4. 
    Three conducting rods of same material and cross-section are shown in figure. Temperatures of A, D and C are maintained at 20°C, 90°C and 0°C. The ratio of lengths of BD and BC if there is no heat flow in AB is - - ProProfs

    Three conducting rods of same material and cross-section are shown in figure. Temperatures of A, D and C are maintained at 20°C, 90°C and 0°C. The ratio of lengths of BD and BC if there is no heat flow in AB is -

    • 2/7

    • 7/2

    • 9/2

    • 2/9

    Correct Answer
    A. 7/2
    Explanation
    HAB = 0
    HDB = HBC
    [means TA = TB = 20]

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  • 5. 

    The density of water at 20°C is 998 kg/m3 and at 40°C 992 kg/m3. The coefficient of volume expansion of water is

    • 10–4/°C

    • 3 × 10–4/°C

    • 2 × 10–4/°C

    • 6× 10–4/°C

    Correct Answer
    A. 3 × 10–4/°C
    Explanation
    Rho = m/v

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  • 6. 

    The fundamental frequency of a closed organ pipe of length 20 cm is equal to the second overtone of an organ pipe open at both the ends. The length of organ pipe open at both ends is

    • 80 cm

    • 100 cm

    • 120 cm

    • 140 cm

    Correct Answer
    A. 120 cm
    Explanation
    Given: Length of the closed organ pipe, LC = 20 cm
    Let the length of the organ pipe open at both ends be LO.
    The fundamental frequency of a closed organ pipe is given by: V/4Lc
    The second overtone of an organ pipe open at both ends is given by: 3V/2Lo
    V/4Lc. = 3V/2Lo
    Lo = 3x 4 Lc / 2.
    Lo = 6 Lc. = 6*20 = 120

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  • 7. 

    When a mass is rotating in a plane about a fixed point, its angular momentum is directed along:

    • The line perpendicular to the plane of rotation

    • The line making an angle of 45° to the plane of rotation

    • The radius

    • The tangent to the orbit

    Correct Answer
    A. The line perpendicular to the plane of rotation
    Explanation
    The angular momentum of a mass rotating about a fixed point is L=r*p
    Hence, the angular momentum will always be directed perpendicular to the radius vector and the momentum vector of the mass.
    So, we can say that it is perpendicular to the plane of rotation.

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  • 8. 

    One way in which the operation of a n-p-n transistor differs from that of a p-n-p

    • The emitter junction is reversed biased in n-p-n

    • The emitter junction injects minority carriers into the base region of the p-n-p

    • The emitter injects holes into the base of the p-n-p and electrons into the base region of n-p-n

    • The emitter injects holes into the base of n-p-n

    Correct Answer
    A. The emitter injects holes into the base of the p-n-p and electrons into the base region of n-p-n
    Explanation
    Emitter-base junction is forward biased.

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  • 9. 

    A current of 2.5 A flows through a coil of inductance 5 H. The magnetic flux linked with the coil is

    • 2 Wb

    • 0.5 Wb

    • ZERO

    • 12.5 Wb

    Correct Answer
    A. 12.5 Wb
    Explanation
    ɸ= LI=5×2.5Wb=12.5Wb

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  • 10. 

    The magnetic field in a travelling electromagnetic wave has a peak value of 20 nT. The peak value of electric field strength is

    • 6 V/m

    • 9 V/m

    • 3 V/m

    • 12 V/m

    Correct Answer
    A. 6 V/m
    Explanation
    Ε = CB = 3 × 108 × 20 × 10–9 = 6 V/m

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  • 11. 

    In a series LCR circuit R = 200 Ω and the voltage and the frequency of the main supply is 220 V and 50 Hz respectively. On taking out the capacitance from the circuit the current lags behind the voltage by 30°. On taking out the inductor from the circuit the current leads the voltage by 30o. The power dissipated in the LCR circuit is

    • 305 W

    • 242 W

    • ZERO

    • 210 W

    Correct Answer
    A. 242 W
    Explanation
    The given circuit is under resonance as XL = XC Hence power dissipated in the circuit is
    P=V2/R =242W

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  • 12. 

    What is the minimum energy required to launch a satellite of mass m from the surface of a planet of mass M and radius R in a circular orbit at an altitude of 2R? 

    • 2GmM /3R

    • GmM /3R

    • 5GmM /6R

    • GmM /2R

    Correct Answer
    A. 5GmM /6R
    Explanation
    T. Ef = − GMm/ 6R
    T. Ei = − GMm/ R
    ∆W = T.Ef – T.Ei = 5GMm/ 6R

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  • 13. 

    Transverse elastic waves can propagate –

    • Both in a gas and a metal

    • In a gas but not in a metal

    • In a metal but not in a gas

    • Neither in a gas nor in a metal

    Correct Answer
    A. In a metal but not in a gas
    Explanation
    Transverse elastic waves can propagate in a metal but not in a gas. This is because transverse waves require a medium with sufficient elasticity to allow the particles to move perpendicular to the direction of wave propagation. Metals have a high degree of elasticity due to the arrangement of their atoms, allowing transverse waves to propagate. On the other hand, gases do not have a fixed structure and their particles are not tightly bound, resulting in low elasticity and the inability to support transverse waves.

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  • 14. 

    Two long parallel wires separated by a distance r have equal currents I flowing in each. Either wire experiences a magnetic force F N/m. If the distance r is increased to 3r and current in each wire is reduced to I/3, the force between them will now be -

    • 3F N/m

    • 9F N/m

    • (F/9) N/m

    • (F/27) N/m

    Correct Answer
    A. (F/27) N/m
    Explanation
    F = (µ0/2π)(i1i2/r)

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  • 15. 

    Two cars moving in opposite directions approach each other with speed of 22 m/s and 16.5 m/s respectively. The driver of the first car blows a horn having a frequency 400 Hz. The frequency heard by the driver of the second car is [velocity of sound 340 m/s]

    • 350 Hz

    • 361 Hz

    • 411 Hz

    • 448 Hz

    Correct Answer
    A. 448 Hz
    Explanation
    fa = f [ v+v0 / v- vs]
    = 400 [ 340+16.5 / 340-22]
    = 448 Hz

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  • 16. 

    A potentiometer is an accurate and versatile device to make electrical measurements of E.M.F, because the method involves :

    • Cells

    • Potential gradients

    • A condition of no current flow through the galvanometer

    • A combination of cells, galvanometer and resistances

    Correct Answer
    A. A condition of no current flow through the galvanometer
    Explanation
    Reading of potentiometer is accurate because during taking reading it does not draw any current from the circuit

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  • 17. 

    A person trying to lose weight by burning fat lifts a mass of 10 kg upto a height of 1 m 1000 times. Assume that the potential energy lost each time he lowers the mass is dissipated. How much fat will he use up considering the work done only when the weight is lifted up? Fat supplies 3.8 × 107 J of energy per kg which is converted to mechanical energy with a 20% efficiency rate. Take g = 9.8 ms–2 :-

    • 12.89 × 10–3 kg

    • 9.89 × 10–3 kg

    • 2.45 × 10–3 kg

    • 6.45 × 10–3 kg

    Correct Answer
    A. 12.89 × 10–3 kg
    Explanation
    Work done against gravity = (mgh) 1000
    in lifting 1000 times
    = 10 × 9.8 × 103
    = 9.8 × 104 Joule
    20% efficiency is to converts fat into energy. [20% of 3.8 × 107 J] × (m) = 9.8 × 104
    (Where m is mass)
    m = 12.89 × 10–3 kg

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  • 18. 

    An observer looks at a distant tree of height 10 m with a telescope of magnifying power of 20. To the observer the tree appears :

    • 20 times nearer

    • 10 times taller

    • 10 times nearer

    • 20 times taller

    Correct Answer
    A. 20 times taller
    Explanation
    Angular magnification is 20.

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  • 19. 
    Hysteresis loops for two magnetic materials A and B are given below : These materials are used to make magnets for electric generators, transformer core and electromagnet core. Then it is proper to use ; - ProProfs

    Hysteresis loops for two magnetic materials A and B are given below : These materials are used to make magnets for electric generators, transformer core and electromagnet core. Then it is proper to use ;

    • B for electromagnets and transformers.

    • A for electric generators and transformers.

    • A for electromagnets and B for electric transformers.

    • A for transformers and B for electric generators

    Correct Answer
    A. B for electromagnets and transformers.
    Explanation
    For electromagnet and transformers, we require the core that can be magnitised and demagnetised quickly when subjected to alternating current. From the given graphs, graph B is suitable.

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  • 20. 

    The pressure that has to be applied to the ends of a steel wire of length 10 cm to keep its length constant when its temperature is raised by 100°C is : (For steel Young’s modulus is 2 × 1011 N m−2 and coefficient of thermal expansion is 1.1 × 10−5 K−1)

    • 2.2×10^7 Pa

    • 2.2×10^6 Pa

    • 2.2×10^8 Pa

    • 2.2×10^9 Pa

    Correct Answer
    A. 2.2×10^8 Pa
    Explanation
    F/A = Y(Δl/l)
    (Δl/l) = αΔT
    P = F/A = YαΔT
    =2×10 ^11 ×1.1×10 ^-5 ×100 = 2.2×10 ^8

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  • 21. 

    A beam of unpolarised light of intensity I0 is passed through a polaroid A and then through another polaroid B which is oriented so that its principal plane makes an angle of 45° relative to that of A. The intensity of the emergent light is :

    • Io

    • Io/2

    • Io/4

    • Io/8

    Correct Answer
    A. Io/4
    Explanation
    Intensity of light is halved upon passage through first polaroid.
    Using Malus’ Law : I = ( Io/2 ) cos^2θ
    θ = 45° (The angle between the polarization axes of the polaroids)

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  • 22. 

    When the current i flowing through a conductor, the drift velocity is v. If 2i current is flowed through the same metal but having double the area of cross section, the drift velocity will be

    • V/4

    • V

    • V/2

    • 2V

    Correct Answer
    A. V
    Explanation
    Vd = I/ neA

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  • 23. 

    A particle is executing linear simple harmonic motion amplitude A. What fraction of the total energy is kinetic when the displacement is half the amplitude.

    • 1/2

    • 1/4

    • 3/4

    • 2

    Correct Answer
    A. 3/4
    Explanation
    When the displacement is half the amplitude in linear simple harmonic motion, the particle is at its maximum speed. At this point, the kinetic energy is at its maximum value. The total energy of the system remains constant throughout the motion. Therefore, if the kinetic energy is at its maximum, the potential energy must be at its minimum. Since the total energy is the sum of kinetic and potential energy, and the potential energy is at its minimum, the fraction of the total energy that is kinetic is the maximum value, which is 3/4.

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  • 24. 

     A student measures the time period of 100 oscillations of a simple pendulum four times. The datasetis90s,91s,95sand92s.Iftheminimum division in the measuring clock is 1 s, then the reported mean time should be :-

    • 92 ± 3 s

    • 92 ± 2 s

    • 92 ± 5 s

    • 92 ± 1.8 s

    Correct Answer
    A. 92 ± 2 s
    Explanation
    TAV = 92 s
    since uncertainity is 1.5 s
    so digit 2 in 92 is uncertain.
    so reported mean time should be
    92 ± 2

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  • 25. 

    Two cars of masses m1 and m2 are moving in circles of radii r1 and r2, respectively. Their speeds are such that they make complete circles in the same time t. The ratio of their centripetal acceleration is

    • M1r1 :m2r2

    • M1 :m2

    • 1:1

    • R1: r2

    Correct Answer
    A. R1: r2
    Explanation
    a∝r

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  • 26. 

    The binding energy per nucleon for the parent nucleus is E1 and that for the daughter nuclei is E2. Then

    • E2 =2E1

    • E1 >E2

    • E2 > E1

    • E1 =2E2

    Correct Answer
    A. E2 > E1
    Explanation
    After decay, the daughter nuclei will be more stable hence binding energy per nucleon will be more than that of their parent nucleus.

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  • 27. 

    A Carnot engine, having an efficiency of η = 1/10 as heat engine, is used as a refrigerator. If the work done on the system is 10 J, the amount of energy absorbed from the reservoir at lower temperature is

    • 99J

    • 90J

    • 100J

    • 1J

    Correct Answer
    A. 90J
    Explanation
    W = Q2 ( T1/T2 -1)
    η = 1 - (T2/T1)

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  • 28. 

    Two lenses of power -15 D and + 5D are in contact with each other. The focal length of the combination is

    • −20 cm

    • + 20 cm

    • −10 cm

    • + 10 cm

    Correct Answer
    A. −10 cm
    Explanation
    P=P1 +P2 =−10
    f = 1/P⇒−0.1m⇒−10cm

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  • 29. 

    Angular momentum of the particle rotating with a central force is constant due to

    • Constant Force

    • Constant linear momentum.

    • Zero Torque

    • Constant Torque

    Correct Answer
    A. Zero Torque
    Explanation
    The angular momentum of a particle rotating with a central force is constant due to zero torque. Torque is the rotational equivalent of force, and it is the product of the force applied and the perpendicular distance from the axis of rotation. In the case of a central force, the force always acts along the radial direction, which means the perpendicular distance is zero. As a result, the torque exerted on the particle is zero, leading to a constant angular momentum.

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  • 30. 

    A spherical ball of mass 20 kg is stationary at the top of a hill of height 100 m. It rolls down a smooth surface to the ground, then climbs up another hill of height 30 m and finally rolls down to a horizontal base at a height of 20 m above the ground. The velocity attained by the ball is

    • 40 m/s

    • 30 m/s

    • 20 m/s

    • 10 m/s

    Correct Answer
    A. 40 m/s
    Explanation
    mgh = 1⁄2 mv^2
    v= 2gh
    = 2×10×80=40m/s

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  • 31. 

    Based on lattice energy and other considerations which one of the following alkali metal chlorides is expected to have the highest melting point.

    • LiCl

    • NaCl

    • RbCl

    • KCl

    Correct Answer
    A. NaCl
    Explanation
    Although lattice energy of LiCl higher than NaCl but LiCl is covalent in nature and NaCl ionic there after , the melting point decreases as we move NaCl because the lattice energy decreases as a size of alkali metal atom increases (lattice energy ∝ to melting point of alkali metal halide)

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  • 32. 

    Benzene and toluene form nearly ideal solutions. At 20o C, the vapour pressure of benzene is 75 torr and that of toluene is 22 torr. The partial vapour pressure of benzene at 20o C for a solution containing 78 g of benzene and 46 g of toluene in torr is

    • 50

    • 25

    • 37.5

    • 53.5

    Correct Answer
    A. 50
    Explanation
    PB=PB×B=75× 1/1.5 =50torr

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  • 33. 

    A reaction involving two different reactants can never be

    • Unimolecular reaction

    • First order reaction

    • Second order reaction

    • Bimolecular reaction

    Correct Answer
    A. Unimolecular reaction
    Explanation
    A unimolecular reaction is a reaction that involves the decomposition or rearrangement of a single molecule. It does not involve the collision between two different reactant molecules. Therefore, a reaction involving two different reactants can never be a unimolecular reaction.

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  • 34. 

    The IUPAC name of the coordination compound K3[Fe(CN)6] is

    • Potassium hexacyanoferrate (II)

    • Potassium hexacyanoferrate (III)

    • Potassium hexacyanoiron (II)

    • Tripotassium hexcyanoiron (II)

    Correct Answer
    A. Potassium hexacyanoferrate (III)
    Explanation
    The coordination compound K3[Fe(CN)6] contains potassium ions (K+) and a complex ion [Fe(CN)6]3-. According to the rules of IUPAC nomenclature, the name of the compound is determined by the oxidation state of the central metal ion. In this case, the iron ion (Fe) has an oxidation state of +3, which is indicated by the Roman numeral III in parentheses. Therefore, the correct IUPAC name for the compound is Potassium hexacyanoferrate (III).

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  • 35. 

    The most abundant elements by mass in the body of a healthy human adult are : Oxygen (61.4%) ; Carbon (22.9%), Hydrogen (10.0%) ; and Nitrogen (2.6%). The weight which a 75 kg person would gain if all 1H atoms are replaced by 2H atoms is

    • 15 Kg

    • 7.5 Kg

    • 37.5 Kg

    • 10 Kg

    Correct Answer
    A. 7.5 Kg
    Explanation
    Mass in the body of a healthy human adult has :-
    Oxygen = 61.4%, Carbon = 22.9%, Hydrogen = 10.0% and Nitrogen = 2.6%
    Total weight of person = 75 kg
    Mass due to 1H is = 75*10 /100 = 7.5kg
    1H atoms are replaced by 2H atoms.
    So mass gain by person =7.5 kg

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  • 36. 

    Which of the following species is not paramagnetic 

    • NO

    • CO

    • O2

    • B2

    Correct Answer
    A. CO
    Explanation
    NO - One unpaired electron is present in pi* molecular orbital.
    CO - No unpaired electron is present
    O2 - Two unpaired electrons are present in pi*molecular orbitals.
    B2  Two unpaired electrons are present in pi bonding molecular orbitals.

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  • 37. 

    Which base is present in RNA but not in DNA?

    • Uracil

    • Thymine

    • Guanine

    • Cytosine

    Correct Answer
    A. Uracil
    Explanation
    RNA and DNA are both nucleic acids that play a role in genetic information storage and transmission. They are made up of nucleotides, which consist of a sugar, a phosphate group, and a nitrogenous base. While DNA contains the bases adenine (A), thymine (T), guanine (G), and cytosine (C), RNA replaces thymine with the base uracil (U). This difference in bases is due to the fact that RNA is a single-stranded molecule, while DNA is double-stranded. Uracil pairs with adenine in RNA, just like thymine pairs with adenine in DNA. Therefore, the correct answer is Uracil.

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  • 38. 

    Which among the following is the most reactive?

    • Cl2

    • Br2

    • I2

    • ICl

    Correct Answer
    A. ICl
    Explanation
    The interhalogen compounds are generally more reactive than halogens (except F2).

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  • 39. 

    The group having isoelectronic species is

    • O2– , F –, Na+ , Mg2+

    • O– , F –, Na , Mg+

    • O2– , F –, Na , Mg2+

    • O– , F –, Na + , Mg+

    Correct Answer
    A. O2– , F –, Na+ , Mg2+
    Explanation
    O ( z=8) , F (z=9) ; Na (z=11) , Mg(z=12)
    O2– (10) ,F – (10), Na+ (10), Mg2+ (10)
    therefore O2– , F– , Na+ , Mg+2 are isoelectronic

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  • 40. 

    The distillation technique most suited for separating glycerol from spent-lye in the soap industry is :

    • Distillation under reduced pressure

    • Simple distillation

    • Fractional distillation

    • Steam distillation

    Correct Answer
    A. Distillation under reduced pressure
    Explanation
    Distillation under reduced pressure. Glycerol (B.P. 290°C) is separated from spent lye in the soap industry by distillation under reduced pressure, as for simple distillation very high temperature is required which might decompose the component.

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  • 41. 

    Which of the following atoms has the highest first ionization energy ?

    • Na

    • Sc

    • Rb

    • K

    Correct Answer
    A. Sc
    Explanation
    Due to poor shielding of d-electrons in Sc, Zeff of Sc becomes more so that ionisation energy of Sc is more than Na, K and Rb.

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  • 42. 

    In the Hofmann bromamide degradation reaction, the number of moles of NaOH and Br2 used per mole of amine produced are :

    • Four moles of NaOH and one mole of Br2

    • One mole of NaOH and one mole of Br2

    • Four moles of NaOH and two moles of Br2

    • Two moles of NaOH and two moles of Br2

    Correct Answer
    A. Four moles of NaOH and one mole of Br2
    Explanation
    4 moles of NaOH and one mole of Br2 is required during production of on mole of amine during Hoffmann's bromamide degradation reaction.

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  • 43. 

    Galvanization is applying a coating of 

    • Pb

    • Cr

    • Zn

    • Cu

    Correct Answer
    A. Zn
    Explanation
    Galvanization is the process of applying a protective zinc coating of steel or iron, to prevent rusting.

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  • 44. 

    The rate equation for the reaction 2A + B → C is found to be: rate k[A][B]. The correct statement in relation to this reaction is that the

    • Unit of K must be s-1

    • Values of k is independent of the initial concentration of A and B

    • Rate of formation of C is twice the rate of disappearance of A

    • T1/2 is a constant

    Correct Answer
    A. Values of k is independent of the initial concentration of A and B
    Explanation
    The correct statement in relation to this reaction is that the values of k is independent of the initial concentration of A and B. This means that the rate constant, k, remains the same regardless of the initial concentrations of A and B. The rate equation, rate = k[A][B], indicates that the rate of the reaction is directly proportional to the concentrations of A and B, and the rate constant, k, represents the proportionality constant. Therefore, the values of k will not change with different initial concentrations of A and B.

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  • 45. 

    The synthesis of alkyl fluorides is best accomplished by :

    • Free radical fluorination

    • Sandmeyer’s reaction

    • Finkelstein reaction

    • Swarts reaction

    Correct Answer
    A. Swarts reaction
    Explanation
    R - I + AgF —> R - F + AgI (Swarts Reaction)

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  • 46. 

    Two Faraday of electricity is passed through a solution of CuSO4. The mass of copper deposited at the cathode is : (at. mass of Cu = 63.5 amu)

    • 0 g

    • 63.5g

    • 2g

    • 127g

    Correct Answer
    A. 63.5g
    Explanation
    Cu+2 + 2e- —> Cu(s)
    2 mol. 1 mol = 63.5

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  • 47. 

    Which one is classified as a condensation polymer?

    • Dacron

    • Neoprene

    • Teflon

    • Acrylonitrile

    Correct Answer
    A. Dacron
    Explanation
    Dacron is polyester formed by condensation polymerisation of terephthalic acid and ethylene glycol.

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  • 48. 

    A radioactive element gets spilled over the floor of a room. Its half-life period is 30 days. If the initial activity is ten times the permissible value, after how many days will it be safe to enter the room?

    • 1000 days

    • 300 days

    • 10 days

    • 100 days

    Correct Answer
    A. 100 days
  • 49. 

    The heats of combustion of carbon and carbon monoxide are – 393.5 and – 285.5 kJ mol–1, respectively. The heat of formation (in kJ) of carbon monoxide per mole is :-

    • – 110.5

    • 110.5

    • – 676.5

    • 676.5

    Correct Answer
    A. – 110.5

Quiz Review Timeline (Updated): Sep 13, 2023 +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Sep 13, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Mar 31, 2018
    Quiz Created by
    VR Education

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