JEE Full Syllabus MCQs Set A

Question:   In the circuit diagram shown in the figure. Which of the following is true :-

• a) The points A and C are at the same potential
• b) A is at a higher potential than C
• c) Magnitude of P.D. between A and C is 5 volt
• d) Magnitude of P.D. between A and C is 15 volt

Answer: Magnitude of P.D. between A and C is 5 volt

Question:   Four identical point masses 'm' joined by light string of length 'l' arrange such that they form square frame. Centre of table is coincide with centre of arrangment. If arrangement rotate with constant ωangular velocity 'ω', find out tension in each string

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: In the given figure acceleration of wedge 'A' is 10 m/s2 along the inclined plane. (There is no friction between A & B and A & fixed inclined plane.) Then acceleration of block 'B' will

• a) 5 m/s²
• b) 10 m/s²
• c) 15 m/s² 
• d) 20 m/s²

Answer: 5 m/s²

Question:  A uniform dense rod with non uniform young's modulus is hanging from ceiling under gravity. If elastic energy density at every point is same then young's modulus with x will change as which of the shown graph :-

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: Two point charges 4μC and –1μC are kept at a distance of 3m from each other. What is the electric potential at the point where the electric field is zero?

• a) 0 V
• b) 1500 V
• c) 3000 V
• d) 500 V

Answer: 3000 V

Question: A uniform beam of weight W is attached to a vertical wall by a hinge H. The beam is held horizontal by a rope as shown below. Which one of the following best shows the direction of the reaction force R at the hinge ?

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:  Truth table for the given circuit figure is :-

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: In amplitude modulation determine the total maximum transmitted power, if the carrier output is 1kW :-

• a) 1kW
• b) 0.5kW
• c) 1.5kW
• d) 2kW

Answer: 1.5kW

Question: Consider two carts, of masses m and 2m, at rest on an air track. If you push both the carts for 3s exerting equal force on each, the kinetic energy of the light cart is :-

• a) larger than the kinetic energy of the heavy cart
• b) equal to the kinetic energy of the heavy cart
• c) smaller than the kinetic energy of the heavy cart
• d) Information is not sufficient to decide

Answer: larger than the kinetic energy of the heavy cart

Question: When a ray of light of frequency 6 ×10¹⁴ Hz travels from water of refractive index 4/3 to glass of refractive index 8/5, its

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: A ray of light is incident normally on one of the faces of a prism of apex angle 30° and refractive index √2 . The angle of deviation of the ray is–

• a) 0°
• b) 12.5°
• c) 15°
• d) 22.5°

Answer: 15°

Question: A line charge ( λ per unit length) is in the form of circular wheel of radius 'a' and moment of inertia is I, initial at rest. It is free to rotate in a horizontal plane. There is a coaxial magnetic field B₀ = B kˆ extending upto a radius b(b < a). If the magnetic field is switched off, the angular velocity 'ω' of the wheel is given by

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: Which of the diagrams shown in figure represents variation of total mechanical energy of a pendulum oscillating in water as function of time ?

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:  In RLC circuit as shown in the diagram, the maximum value of charge on capacitor is :-

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:    A substance is cooled at a constant power. Its temperature vs time graph is shown. The value of

S_solid : S_liquid : S_gas :-

• a) 2 : 3 : 3
• b) 3 : 6 : 2
• c) 2 : 6 : 3
• d) 1 : 3 : 2

Answer: 3 : 6 : 2

Question: A particle of mass m is released from infinity and it move towards a big solid sphere made of a jelly like material. Neglecting the resistance offered by material of sphere, find the velocity of the particle when it crosses the centre of the sphere

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: A 2 kg object is floating at rest, acted upon by only force as indicated in figure. Find the total work done by the force in 3 sec.

• a) 10 J
• b) 5 J
• c) 25 J
• d) 20 J

Answer: 25 J

Question:   Seven capacitors, each of capacitance 2µF are to be connected to obtain a capacitance of 10/11 µF. Which of the following combinations is possible ?

• a) 5 in parallel 2 in series
• b) 4 in parallel 3 in series
• c) 3 in parallel 4 in series
• d) 2 in parallel 5 in series

Answer: 5 in parallel 2 in series

Question: If the rheostat slider were to move from the extreme right to the far left, How will the reading of voltmeter V₁ change?

• a) First increase and then decrease
• b) First decrease and then increase
• c) Increase continuously
• d) Decrease continuously

Answer: Increase continuously

Question: Resistances are arranged in a cyclic order to form a balanced wheatstone bridge as shown in figure. Ratio of power consumed in the branches P + Q and R + S is :

• a) R : Q
• b) R : P
• c) P² : Q²
• d) P² : R²

Answer: R : Q

More Questions.........................

Question:   Figure shows a boy on a horizontal platform A on a smooth horizontal surface, holding a rope attached to a box B. Boy pulls the rope with a constant force of 50 N. (boy does not slip over the platform). The combined mass of platform A and boy is 250 kg and that of box B is 500 kg. The velocity of A relative to the box B, 5 s after the boy on A begins to pull the rope, will be

• a) 1 m/s
• b) 1.5 m/s
• c) 2 m/s
• d) 0.5 m/s

Answer: 1.5 m/s

Question:

Statement-1 : Due to the motion of listener, the frequency of the sound waves (as received by listener) emitted by stationary source is affected.

Statement-2 : Due to the motion of source, wavelength of the sound waves (emitted by source) as received by stationary listener is affected.

Statement-3 : If receiver and source both are moving, the observed frequency must be different from the original frequency of source.

Treat motion of source or listener as always along a line joining them for all above cases.

• a) All the three statements are correct
• b) All the three statements are wrong
• c) Only Statements-1 and 2 are correct
• d) Only Statements-2 and 3 are correct

Answer: Only Statements-1 and 2 are correct

Question: A string of mass 2.5 kg is under a tension of 200 N. The length of the stretched string is 20.0 m. If the transverse jerk is struck at one end of the string, the disturbance will reach the other end in

• a) one second
• b) 0.5 second
• c) 2 seconds
• d) data given is insufficient.

Answer: 0.5 second

Question:   A thin vertical uniform wooden rod is pivoted at the top and immersed in water as shown. The container is slowly raised. At a certain moment, the equilibrium becomes unstable. If density of water is 9/5 times the density of wood, then ratio of total length of rod to the submerged length of rod, at that moment is

• a) 2
• b) 3
• c) 4
• d) 6

Answer: 3

Question: One mole of an ideal gas 

heated by law P = αV where P is pressure of gas, V is volume, α is a constant. What is the molar heat capacity of gas in the process-

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: The least distance of distinct vision for a farsighted person is 1m. The optical power of the lens of his specs which effectively reduces his LDDV to 25 cm, is :-

• a) +3D
• b) +2D
• c) –3D
• d) None

Answer: +3D

Question: A thin prism P₁ with angle 4° and made from a glass of refractive index 1.54 is combined with another thin prism P₂ made from glass of refractive index 1.72 to produce dispersion without deviation.

The angle of the prism P₂ is :-

• a) 5.33° 
• b) 4°
• c) 3°
• d) 2.6°

Answer: 3°

Question: The wavelength of K_a line for an element of atomic number 29 is λ. Then the wavelength of K_a line for an element of atomic no 15 is (Take mosley‘s constant b = 1 for both elements)

• a)

  

• b)

  

• c) 4λ 
• d) 2λ

Answer: 4λ 

Question: The activity of a sample reduces from A₀ to   in one hour. The activity after 3 hours more will be :-

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: If instead of mass, length and time as fundamental quantities, we choose velocity, acceleration and force as fundamental quantities and express their dimensions by V, A and F respectively, then the dimensions of Young's modulus will be expressed as:

• a) [FA²V^–4] 
• b) [F²V^–1A]
• c) [FA²V^–1] 
• d) [FAV^–2]

Answer: [FA²V^–4] 

Question:  A given initial mass of KClO₃ on 50% decomposition produces 67.2 litre oxygen gas at 0ºC and 1 atm. The other product of decomposition is KCl. The initial mass of KClO₃ (in gm) taken is.

• a) 245
• b) 122.5
• c) 490
• d) None of these

Answer: 490

Question: Which statement is not true, regarding 2s orbital.

• a) Number of radial nodes is greater than zero
• b) Angular nodes is equal to zero
• c) ψ (θ,Φ) = constant
• d) Probability density is zero at nucleus

Answer: Probability density is zero at nucleus

Question: A 4 : 1 molar mixture of He & CH₄ kept in a vessel at 20 bar pressure. Due to a hole in the vessel, gas mixture leaks out. What is the composition of mixture effusing out initially -

• a) 8 : 1
• b) 4 : 1
• c) 1 : 4
• d) 4 : 3

Answer: 8 : 1

Question: The enthalpy of neutralization of a strong acid by a strong base is –57.32 kJ/mol the enthalpy of formation of water is –285.84 kJ/mol. The enthalpy of formation of hydroxyl ion is :

• a) +228.52 kJ/mol
• b) –114.26 kJ/mol
• c) –228.52 kJ/mol
• d) +114.2 kJ/mol

Answer: –228.52 kJ/mol

Question: A certain mass of an ideal gas absorbs 80 kJ heat and gas is expanded from 2L to 10L at constant pressure of 25 bar. What is ΔU for gas in the process. (1 bar - L = 100J)

• a) 280 kJ
• b) –120 kJ
• c) 60 kJ
• d) 100 kJ

Answer: 60 kJ

Question: The hydrolysis of an ester was carried out separately with 0.1 N HCl and 0.1 N H₂SO₄.Then for rate of reaction (R) in the presence of acid which of the following relation is true-

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: Suppose that an alkaline dry cell was manufactured using cadmium metal rather than Zn. What effect would this have on the standard emf of the cell. The standard reduction potential 

• a) No change
• b) Decrease by 0.36 V
• c) Increase by 0.36 V
• d) May increase or decrease by 0.36 V

Answer: Decrease by 0.36 V

Question: Which of the following is a molecular solid

• a) SiC
• b) Graphite
• c) Fullerene
• d) Diamond

Answer: Fullerene

Question: If the amount of radioactive substance is increased three times and simultaneously temperature also increases thrice, the number of atoms disintegrating per unit time would be -

• a) 1/3 rd of original atoms
• b) constant
• c) Triple
• d) 9 time

Answer: Triple

Question: Which of the following pair of metals are extracted by self reduction from its main ore but metals do not evolve H₂ with dil H₂SO₄

• a) Cu, Hg
• b) Zn. Cu
• c) Pb, Zn
• d) Mn, Al

Answer: Cu, Hg

Question: Consider following reactions of metallurgy :

where 'A' and 'B' are respectively

• a) ZnO & CO₂
• b) ZnCO₃ & CO₂
• c) Zn & CO
• d) ZnO & CO

Answer: Zn & CO

Question: A₂O_x is oxidised to AO₃^– by MnO₄– in acidic medium. If 1.5 × 10^-3 mole of A₂O_x requires 40 ml of 0.03 M-KMnO₄ solution in acidic medium. Which of the following statement(s) is correct?

• a) The value of "x" = 1
• b) The value of "x" = 3
• c) Empirical formula of oxide is AO₃.
• d) Empirical formula of oxide is A₂O.

Answer: The value of "x" = 3

Question: Which of the following complex of Co⁺³ show more than one type of isomerism? 

• a) [Co(en)₃]³⁺  
• b) [Co(NH₂CH₂CH₂S)₃]⁰
• c) [Co(C₂O₄)(en)₂]⁺¹
• d) [Co(EDTA)]^–1

Answer:  [Co(NH₂CH₂CH₂S)₃]⁰

Question: Select the CORRECT statement if internuclear axis is y-axis :-

• a) d_xy and d_xy orbital of two atoms form p-bond
• b) p_z and p_z orbital of two atoms form s-bond
• c) d_x² –y² and d_x² –y² orbital of two atoms form p-bond
• d) p_y and d_zx orbital of two atoms form p-bond

Answer: d_xy and d_xy orbital of two atoms form p-bond

Question: Which of the following complex is paramagnetic and inner orbital complex

• a) [Fe(CN)₆]^4– 
• b) [Cr(NH₃)₆]³⁺ 
• c) [Co(NH₃)₆]³⁺ 
• d) [Fe(NO₂)₆]^4–

Answer:  [Cr(NH₃)₆]³⁺ 

Question: Select the CORRECT order of stability

• a) Hg⁺² > Hg 
• b) Sn⁺⁴ > Sn⁺²
• c) Bi⁺⁵ > Bi⁺³
• d) PbBr₄ > PbCl₄

Answer: Sn⁺⁴ > Sn⁺²

Question: The CORRECT order of ΔH_eg of the following elements is :-

• a) S < Cl < O < F
• b) O < Cl < F < S
• c) F < S < O < Cl
• d) O < S < F < Cl

Answer: O < S < F < Cl

Question: Which of the following pair of oxide is Amphoteric in nature?

• a) CO & N₂O 
• b) Cr₂O₃ & ZnO
• c) SnO₂ & SiO₂
• d) CaO & ZnO

Answer: Cr₂O₃ & ZnO

Question: Which of the following compound is/are used for oxygenating the submarine or spaceshuttle

• a) Na₂O₂ 
• b) KO₂
• c) KO₃ 
• d) All of these

Answer: All of these

Question:  The IUPAC name of

• a) 5-Hydroxy benzene carboxylate
• b) 3-Hydroxy benzene carboxylate
• c) 3-Methoxy carbonyl benzene-1-ol
• d) Methyl 3-hydroxy benzoate

Answer: Methyl 3-hydroxy benzoate

Question: What will be IUPAC name of compound when allyl and neopentyl joined together :

• a) 4,4-dimethyl pent-1-ene
• b) 5,5-dimethyl hex-1-ene
• c) 6-methyl hept-1-ene
• d) 5-methyl hex-1-ene

Answer: 5,5-dimethyl hex-1-ene

Question: Which compound does not react with NaHCO₃

• a) Squaric acid
• b) Salicylic acid
• c) Carbolic acid (phenol)
• d) Acetic acid

Answer: Carbolic acid (phenol)

Question: For given compounds :

The correct statement is -

• a) The most basic compound is IV
• b) The least basic compound is I
• c) The most basic compound is III
• d) The least basic compound is IV

Answer: The most basic compound is IV

Question: Correct acidity order

• a) CF₃OH < CCl₃OH
• b) CHCl₃ < CHF₃
• c)

  

• d) Cl₃C–CO₂H < F₃C–CO₂H

Answer: Cl₃C–CO₂H < F₃C–CO₂H

Question: Total number of stereo-isomers possible for the following compound is :

• a) 8
• b) 16
• c) 32
• d) 64

Answer: 16

Question: Which of following can be prepared effectively by Williamson ether synthesis :

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

P is :

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

R – X + NaNO₂ —→ P + NaX

R – X + AgNO₂ —→ Q + AgX

P and Q are related as :

• a) Positional isomer
• b) Geometrical isomer
• c) Functional isomer
• d) Chain isomer

Answer: Functional isomer

Question:

Correct statement regarding B product?

• a) Product is non-resolvable
• b) Product having plane of symmetry
• c) Product having 2 chiral centre
• d) All

Answer: All

Question: Which of the following metal is inert towards reaction with H₂O.

• a) Be
• b) Na
• c) Ca
• d) K

Answer: Be

Question:

The equation of the line of shortest distance of the lines

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: Consider a square of side 2 cm. It is cut from one of its corner as shown in adjacent figure. Maximum value of sum of the perimeters of two plane figures thus formed is -

• a) 2 √2 + 8
• b) 12
• c) 8
• d) 4 √2 + 8

Answer: 4 √2 + 8

Question:  The area bounded by y = x² + 2 and y = 2|x| – cospx is equal to -

• a) 2/3
• b) 8/3
• c) 4/3
• d) 1/3

Answer: 8/3

Question: In the given figure, AB is tangent to the circle with centre O, the ratio of the shaded region to the unshaded region of the triangle OAB is -

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: If the domain and range of ƒ (x) = ^9–xC_x–1 contains m and n elements respectively, then -

• a) m = n
• b) m = n + 1
• c) m = n – 1
• d) m = n + 2

Answer: m = n + 1

Question: If 5 + ix³y² and x³ + y² + 6i are conjugate complex numbers and arg (x + iy) = θ, then tan²θ is equal to-

• a) 4
• b) 5
• c) 6
• d) 7

Answer: 6

Question: Set of points where

differentiable, is -

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: The differential equation 2xy dy = (x² + y² + 1) dx determines -

• a) A family of circles with centre on x-axis
• b) A family of circles with centre on y-axis
• c) A family of rectangular hyperbola with centre on x-axis
• d) A family of rectangular hyperbola with centre on y-axis

Answer: A family of rectangular hyperbola with centre on x-axis

Question: The angle of intersection between the curves

and x-axis is (where x ≠ 0) -

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:  If y = x + e^x, then at x = 1,

is equal to

• a) e
• b)

  

• c)

  

• d)

  

Answer:

Question: Locus of the vertex A of a triangle ABC whose base BC is fixed & the perimeter of triangle is also constant, is -

• a) circle
• b) parabola
• c) ellipse
• d) hyperbola

Answer: ellipse

Question: If

then λ is -

• a) 1
• b) 2
• c) 3
• d) 4

Answer: 2

Question:

If ƒ (x) is one–one then the set of values of 'm' is -

• a) (-∞,0)
• b) (-∞,0]
• c) (0,∞) 
• d) [0,∞)

Answer: (-∞,0)

Question: The locus of middle points of the chords of the circle x² + y² = a² which touch the hyperbola 

is -

• a) (x² – y²)² = a²x² + b²y²  
• b) (x² + y²)² = a²x² + b²y²
• c) (x² – y²)² = a²x² – b²y²  
• d) (x² + y²)² = a²x² – b²y²

Answer: (x² + y²)² = a²x² – b²y²

Question: Locus of the vertex A of a triangle ABC whose base BC is fixed & the perimeter of triangle is also constant, is -

• a) circle
• b) parabola
• c) ellipse
• d) hyperbola

Answer: ellipse

Question: Which of the following is a molecular solid

• a) SiC
• b) Graphite
• c) Fullerene
• d) Diamond

Answer: Fullerene

Question: If

then A⁵⁰ is -

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: The total number of 4 digit numbers which can be formed using the digits 1, 2, 3, 4 without repetition such that the digit n + 1 never immediately follows the digit n, are -

• a) 10
• b) 11
• c) 13
• d) 14

Answer: 11

Question: If the line y = √3x cuts the curve x⁴ + ax²y + bxy + cx + dy + 6 = 0 at A, B, C and D, then value of OA .OB . OC . OD is, (where O is origin) -

• a) a + b + c
• b) 2c²d
• c) 96
• d) 6

Answer: 96

Question: The probability of getting either all heads or all tails for exactly the second time in the 3rd trial, if in each trial three coins are tossed, is -

• a) 3/16
• b) 3/32
• c) 3/64
• d) 3/8

Answer: 3/32

Question:   The set of values of 'a' for which the inequality x² – (a + 2) x – (a + 3) < 0 is satisfied by atleast one positive real x, is-

• a) [–3, ∞)
• b) (–3, ∞)
• c) (–∞, –3) 
• d) (–∞, 3]

Answer: (–3, ∞)

Question:   If square root of,

then the value of 'a' is -

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: tan20° cot10° cot50° is equal to -

• a)

  

• b)

  √3

• c)

  

• d) 4 √3

Answer: √3

Question:

is there in right handed rectangular coordinate system. The coordinate system is rotated about z-axis from positive x to positive y-axis through angle

 then new components of  

will be -

• a) (2, 3, 7)
• b) (–2, –3, 7)
• c) (3, –2, –7)
• d) (3, –2, 7)

Answer: (3, –2, 7)

Question: If a, b, c are the pth, qth, rth term of an A.P. and

then -

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: If focus and directrix of a parabola are (3, 5) and x+ y = 4, then coordinates of its vertex are -

• a) (1, 3)
• b) (3, 4)
• c) (2, 4)
• d) data insufficient

Answer: (2, 4)

Question: If the length of subnormal is equal to the length of subtangent at any point on the curve y = ƒ (x) and the tangent at (3, 4) to y = ƒ (x) meets the positive coordinate axes at A and B, then area of ΔOAB, where O is origin, is -

• a) 25/2
• b) 9/2
• c) 1/2
• d) 49/2

Answer: 49/2

Question: Statement (p Λ q) → (p Λ q) is - 

• a) contradiction
• b) tautology
• c) neither tautolo
• d) can't say

Answer: tautology

Question: Which compound does not react with NaHCO₃

• a) Squaric acid
• b) Salicylic acid
• c) Carbolic acid (phenol)
• d) Acetic acid

Answer: Carbolic acid (phenol)

Question: The average marks of 10 students in a class was 60 with a standard deviation 4, while the average marks of other ten students was 40 with a standard deviation 6. If all the 20 students are taken together, their standard deviation will be

• a) 5
• b) 7.5
• c) 9.8
• d) 11.2

Answer: 11.2