JEE Full Syllabus MCQs Set B

Question:    Light of wavelength 600 nm is incident upo a single slit with width 4 × 10^–4 m. The figure shows the pattern observed on a screen positioned 2m from the slits. Determine the distance s.

• a) 0.006 m
• b) 0.003 m
• c) 0.002 m
• d) 0.004 m

Answer: 0.006 m

Question: In a stack of three polarizing sheets the first and third are crossed while the middle one has its axis at 45° to the axes of the other two. The fraction of the intensity of an incident unpolarized beam of light that is transmitted by the stack is

• a) 1/8
• b) 1/3
• c) 1/2
• d) 1/4

Answer: 1/8

Question: A source of frequency n and an observer are moving on a straight line with velocities a and b respectively. If the source is ahead of the observer and if the medium is also moving in the direction of their motion with velocity c (the velocity of sound being v) then the apparent frequency of sound heard by the observer would be :

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:  The diagram shows three arrangements of circular loops, centered on vertical axes and carrying identical currents in the directions indicated. Rank the arrangements according to the magnitude of the magnetic field at the midpoints between the loops on the central axes. (from minimum to maximum)

• a) 2, 3, 1
• b) 2, 1, 3
• c) 3, 2, 1
• d) 1, 2, 3

Answer: 2, 3, 1

Question: A plastic circular disc of radius R is placed on a thin oil film, spread over a flat horizontal surface. The torque required to spin the disc about its central vertical axis with a constant angular velocity is proportional to :-

• a) R⁴
• b) R²
• c) R³
• d) R⁶

Answer: R⁴

Question:  The diagram below shows a hydraulic lift. A force is applied at side 1 and an output force is generated at side 2. Which of the following is true?

• a) The force at side 1 is less than the force at side 2
• b) The force at side 1 is greater than the force at side 2
• c) The pressure at side 1 is greater than the force at side 2
• d) The pressure at side 1 is less than the pressure at side 2

Answer: The force at side 1 is less than the force at side 2

Question: A wedge with a mass of 10 kg is at rest on a horizontal frictionless surface. A block with a mass of 5.0 kg is placed on top and slides down the incline, also starting from rest. The surface of the wedge is rough. At one instant, the vertical component of the block’s velocity is 3.0 m/s and the horizontal component is 6.0 m/s. At that instant the velocity of the wedge is:

• a) 3.0 m/s to the right
• b) 6.0 m/s to the left
• c) 3.0 m/s to the left
• d) 6.0 m/s to the right

Answer: 3.0 m/s to the right

Question:

• a) 5, 6, 6000 Å
• b) 4, 5, 3000 Å
• c) 3, 4, 4000 Å
• d) 2, 3, 5000 Å

Answer: 5, 6, 6000 Å

Question:  A satellite is revolving round the earth with orbital speed v₀. If it is imagined to stop suddenly, the speed with which it will strike the surface of the earth would be (v_e – escape speed of a body from earth’s surface)

• a)

  

• b)

  

• c)

  

• d) None of these

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a)

  

• b)

  

• c) 90^o
• d) 0

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a) 1.2
• b) 2.3
• c) 1.7
• d) 1.9

Answer:  1.2

Question:

• a) E is constant
• b)

  

• c)

  

• d)

  

Answer: E is constant

Question: Two blocks of masses 2 kg and 3 kg are connected by string of length 1m. At any instant the velocities of block of mass 2 kg and 3 kg are 5m/s in opposite direction and perpendicular to the length of string. (Assume gravity free space)

• a) tension in the string is 200 N
• b) tension in the string is 75N
• c) tension in the string is 120N
• d) tension in the string is 300 N

Answer:  tension in the string is 200 N

Question:

• a) 25 N
• b) 40 N
• c) 20 N
• d) 30 N

Answer: 25 N

Question:  Consider the circuit below. All bulbs are identical. Choose the CORRECT option

• a) If the bulb D burns out, the event is unnoticable, and bulbs A,B,C, stays lighted
• b) If the bulb C burns out, bulbs A and B goes off
• c) If the bulb B burns out, then bulb C goes off and D stays lighted
• d) If the bulb A burns out, then bulb C stays lighted, bulb B burns brightly

Answer: If the bulb D burns out, the event is unnoticable, and bulbs A,B,C, stays lighted

Question:   Two particles of the same mass carry charges +3Q and –2Q respectively. They are shot into a region that contains a uniform electric field one after the other as shown. The particles have the same initial velocities in the positive x direction. The lines, numbered 1 through 4, indicate possible paths for the particles. If the electric field points in the negative y direction, what will be the resulting paths for these particles?

• a) path 4 for +3Q and path 2 for –2Q
• b) path 2 for +3Q and path 4 for –2Q
• c) path 3 for +3Q and path 3 for –2Q
• d) path 1 for +3Q and path 3 for –2Q

Answer: path 4 for +3Q and path 2 for –2Q

Question:  There is a uniform positively charged solid sphere having a spherical cavity as shown. Consider the points A,B,C₁ & C₂ lying on a line as shown, here C₁ is the centre of sphere and C₂ is centre of cavity. At which point particle has minimum electrostatic potential ?

• a) point B
• b) point A
• c) point C₂
• d) all points inside the cavity have same potential

Answer: point B

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:   The variation of photo current (I) with potential difference (V) in photoelectric effect experimental setup for two different frequencies (f₂ > f₁) of incident radiations keeping intensity constant (energy recevied per second per unit area) constant in both the experiment, is best represented by

• a)

  

• b)

  

• c)

  

• d) None of these

Answer:

Question:  A plano-convex lens, when silvered at its plane surface is equivalent to a concave mirror of focal length 28 cm. When its curved surface is silvered and the plane surface not silvered, it is equivalent to a concave mirror of focal length 10 cm, then the refractive index of the material of the lens is:-

• a) 14/9
• b) 17/9
• c) 9/14
• d) None

Answer: 14/9

Question:

• a) 99 K 
• b) 101 K
• c) 100 K
• d) 273 K

Answer: 99 K

Question: Two identical small spheres are suspended from same point O on roof with strings of different lengths. Both spheres move along horizontal circles in same horizontal plane as shown. Then :-

• a) Angular velocity of both spheres will be same
• b) Tension in both strings will be same
• c) Speed of both spheres will be same
• d) It is not possible

Answer:  Angular velocity of both spheres will be same

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: Two balls, projected at different times so they don't collide, have trajectories A and B, as shown below. Which statement is correct?

• a) Ball B is in the air for a longer time than ball A.
• b) Ball B has a greater acceleration than ball A
• c) Ball A is in the air for a longer time than ball B.
• d) None of these

Answer: Ball B is in the air for a longer time than ball A.

Question:  In the given circuit, the voltage across the load is maintained at 12 V. The current in the Zener diode varies from 0-50 mA. What is the maximum wattage of the diode?

• a) 0.6 W
• b) 12 W
• c) 6 W
• d) 1.2 W

Answer: 0.6 W

Question: Sinusoidal carrier voltage of frequency 1.5 MHz and amplitude 50 V is amplitude modulated by sinusoidal voltage of frequency 10 kHz producing 50% modulation. The lower and upper side-band frequencies in kHz are:-

• a) 1490, 1510
• b) 1510, 1490
• c)

  

• d)

  

Answer:

1490, 1510

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

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

Answer:   490

Question:

• a)

  

• b)

  

• c)

  

• d) None of these

Answer:

Question: At what temperature will be the molar kinetic energy of 0.3 mole of He will be the same as molar kinetic energy of 0.4 mol of Argon gas at 400K

• a) 400 K
• b) 500 K
• c) 700 K
• d) 700 K

Answer:  400 K

Question:

• a) 1/4 M
• b) 1/2 M
• c) 2 M
• d) 4 M

Answer: 1/4 M

Question:

• a) –2209 kJ/mol
• b) –1100 kJ/mol
• c) +937 kJ/mol
• d) –937 kJ/mol

Answer: –2209 kJ/mol

Question:  Select the correct formula for isothermal irreversible process for an ideal gas -

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a) 6 × 10^–10 gm
• b) 6 × 10^–11 gm
• c) 10^–11gm
• d) 10^–10 gm

Answer: 6 × 10^–10 gm

Question: Which of the following solutions is expected to show positive deviations from Raoult's law ?

• a) Ethanol – Hexane
• b) Acetone – Chloroform
• c) Hydrochloric acid – Water
• d) Pyridine – Formic acid

Answer: Ethanol – Hexane

Question:

• a) 96500 x
• b) 0.5 x
• c) 48250 x
• d) None of these

Answer: 96500 x

Question: Which of the following statements regarding sols is not correct.

• a) On prolong dialysis, colloids become stable.
• b) An emulsion can be broken both by heating as well as freezing.
• c) In a reaction, catalyst may change qualitatively as well as physically.
• d) Brownian movement stablises sols.

Answer:  On prolong dialysis, colloids become stable.

Question:

• a) (I) has more EA than II
• b) (I) has more IE than II
• c) Electron addition would be easier in II than I
• d) Removal of electron would be easier in II than I

Answer: (I) has more EA than II

Question: The molecule/specie does not exist

• a) Be₂
• b)

  

• c)

  

• d)

  

Answer: Be₂

Question: Identify the correct order.

• a) CsCl > RbCl > KCl > NaCl > LiCl (% ionic character)
• b) CsCl < RbCl < KCl < NaCl < LiCl (m.p)
• c) CsCl < RbCl < KCl < NaCl < LiCl (Solubility in water)
• d) CsCl > RbCl > KCl > NaCl > LiCl (Lattice Energy)

Answer: CsCl > RbCl > KCl > NaCl > LiCl (% ionic character)

Question: When copper reacts with hot conc. H₂SO₄ gives ?

• a) SO₂
• b) H₂
• c) O₂
• d) None of these

Answer: SO₂

Question: Which of the following ligands may be ambidentate ligand

• a) Both (1) and (2)
• b) 

  

• c)

  

• d) None of these

Answer:  Both (1) and (2)

Question:

• a) both (1) & (2)
• b) Ag
• c) Au
• d) None of these

Answer: both (1) & (2)

Question:  Which one is most appropriate scheme for extraction of Al from bauxite ?

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: Which of the following s-block element forms blue colour with liquid NH₃

• a) K
• b) Be
• c) Mg
• d) All of these

Answer: K

Question: Tin reacts with dilute nitric acid and produces

• a) NH₄NO₃
• b) NO₂
• c) NO
• d) N₂

Answer: NH₄NO₃

Question:

• a) Benzaldehyde and Ethanal
• b) Formaldehyde and 2-phenylethanal
• c) Phenol and propanal
• d) Benzaldehyde and propanone

Answer: Benzaldehyde and Ethanal

Question:  Which of the following compound does not give alcohol as major product :

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: Which of the following compound give iso cyanide test

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: Anti Morkovnikov's addition of HBr to propene in presence of peroxide follow :

• a) Free radical mechanism
• b) Ionic mechanism with carbocation as intermediate
• c) Ionic mechanism with carbanion as intermediate
• d) Electrophilic addition with carbene as intermediate

Answer: Free radical mechanism

Question: Which of the following carbohydrate can not be reduce by Tollen's reagent

• a) Sucrose
• b) Maltose
• c) Lactose
• d) D-Glucose

Answer: Sucrose

Question: In which of the following amino acid 2°-amino group is present

• a) Proline
• b) Phenyl alanine
• c) Glutamine
• d) Glycine

Answer: Proline

Question: Which of the following is not condensation polymer :

• a) PVC
• b) Glyptal
• c) Terylene
• d) Nylon-66

Answer: PVC

Question: Which of the following aromatic compound is most reactive towards electrophilic addition reaction

• a) Methoxy benzene
• b) Benzene
• c) Benzaldehyde
• d) Toluene

Answer: Methoxy benzene

Question:  In which of the following reaction retension of configuration takes place

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a) Analgesic
• b) Insecticide
• c) Antibiotic
• d) Antacid

Answer:  Analgesic

Question:

• a) (–2, –3)
• b) (1, 4)
• c) (2, 3)
• d) (0, 0)

Answer:  (–2, –3)

Question:

• a) parabola
• b) pair of straight line
• c) circle
• d) ellipse

Answer: parabola

Question: A determinant |A| of order 3 x 3 is formed using the numbers from the set {0, 1, 2, 3}, then the difference of maximum and minimum value of this determinant is -

• a) 108
• b) 54
• c) 27
• d) 8

Answer: 108

Question:  The vertices of a hyperbola are at (0, 0) and (10,0) and one of its foci is at (18,0). The possible equation of the hyperbola is –

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: If (1 + i) (1 + 2 i) (1 + 3 i) ...... (1 + n i) = x + iy, then value of 2, 5, 10 ..... (1 + n²) is:

• a) x² + y²
• b) x + y
• c) x² - y²
• d) x - y

Answer: x² + y²

Question:  The cubic equation x³ – 6x² – 15x + k = 0 will have one real and two complex roots only if k satisfies

• a) k > 100
• b) k < 0
• c) –8 < k < 100
• d) None of these

Answer: k > 100

Question: Let ƒ (x) be differentiable function such that ƒ (x) and ƒ '(x) have opposite signs every where, then -

• a) |ƒ (x)| is decreasing function
• b) ƒ (x) is decreasing function
• c) ƒ (x) is an increasing function
• d) |ƒ (x)| is increasing function

Answer:  |ƒ (x)| is decreasing function

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a) 210
• b) 105
• c) 105
• d) None of these

Answer:  210

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a) (–1, 1)
• b) (0, 0)
• c) (0, 1)
• d) (–1, 0)

Answer:  (–1, 1)

Question:

• a) 2
• b) –2
• c)

  

• d)

  

Answer:  2

Question:

• a) 19
• b) 10
• c) 13
• d) 16

Answer: 19

Question:

• a) 1
• b) 2
• c) 0
• d) –1

Answer:  1

Question:

• a)

  

• b)

  

• c) 0
• d) 1

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a)

  

• b) None of these
• c)

  

• d)

  

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d) None of these

Answer:

Question:

• a)

  

• b) –1
• c) 0
• d) does not exist

Answer:  

Question:   There are 6 chocolates of Nestle, 8 of Cadburry, 10 of Perks and 9 of Munch. The number of ways in which a child can buy 7 chocolates, is

• a) 119
• b) 120
• c) 83
• d) 116

Answer: 119

Question: Let 20 distinct balls have been randomly distributed into 4 distinct boxes, 5 into each. Let 'A' be the event that two specific balls have been put into a particular box. The probability of occurrence of event 'A' is -

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a) 0
• b) 4
• c) –8
• d)

  

Answer:  0

Question:

• a) x + y + 1 = 0
• b) x – y + 1 = 0
• c) x – 2y + 1 = 0
• d) 2x + y + 2 = 0

Answer:  x + y + 1 = 0

Question:

• a)

  

• b)

  

• c)

  

• d) None of these

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: If a² – b² = c, where a, b, c are prime numbers then a is -

• a) 3
• b) 7
• c) 5
• d) 2

Answer:  3

Question:

• a) 0
• b)

  

• c)

  

• d)

  

Answer: 0 

Question: The variance of 20 observation is 5. If each observation is multiplied by 2, then the new variance of the resulting observations, is

• a) 20
• b) 40
• c) 10
• d) 5

Answer:  20