IIT – JEE SCREENING EXAMINATION
Q1. A particle of charge q and mass m moves in a circular orbit of radius r
with angular speed w. The ration of the magnitude of its magnetic to that of
its angular momentum depends on
(a) ω and q (b) ω q and m
(c) q and m (d) ω and m
Q2. Two vibrating strings of the same material but lengths L and 2L have
radii 2r and r respectively. They are stretched under the same tension. Both
the strings vibrate in their fundamental modes, the one of length L with
frequency v1 and the other with frequency v2. The ratio v1 / v2 is given by:
(a) 2 (b) 4
(c) 8 (d) 1
Q3. Image an atom made up of a proton and a hypothetical particle of double
the mass of the electron but having the same charge as the electron. Apply
the Bohr atom model and consider all possible transactions of this
hypothetical particle to the first excited level. The longest wavelength
photon that will be emitted has wavelength λ (given in terms of the Rydberg
constant R for the hydrogen atom) equal to
(a) 9/(5R) (b) 36/(5R)
(c) 18/(5R) (d) 4/R
Q4. Among H2 O, H2 S, H2 Se and H2 Te, the one with the highest boiling
point is
(a) H2 O because of hydrogen bonding.
(b) H2 Te because of higher molecular weight.
(c) H2 S because of hydrogen bonding.
(d) H2 Se because of lower molecular weight.
The questions below (5 to 9) consist of an ‘Assertion’ in column 1 and the
‘Reason’ in column 2. Use the following key to choose the appropriate
answer.
(a) If both assertion and reason are CORRECT and reason is the
CORRECT explanation of the assertion.
(b) If both assertion and reason are CORRECT, but reason is NOT the
CORRECT explanation of the assertion.
(c) If assertion is CORRECT, but reason in INCORRECT.
(d) If assertion is INCORRECT but reason is CORRECT.
Assertion (column 1) Reason (column 2)0
Q5. The first ionization energy of be 2p orbital is lower in energy
Greater than that of B. than 2s.
Q6. 1-butene on reaction with HBr in It involves the formation of a
The presence of a peroxide produces primary radical.
Bromobutane
Q7. The heat absorbed during the The volume occupied by the
Isothermal expansion of an ideal molecules of an ideal gas
Gas vacuum is zero against is zero
Q8. The pressure of a fixed amount an Frequency of collisions and
ideal gas is proportional to its their impact both increase in
temperature. Proportion to the square root
of temperature.
Q9. Phenol is more reactive than benzene In the case of phenol, the
Towards electrophilic substitution intermediate carbocation is
Reaction. More resonance stabilized.
Q10. Let f (θ) = sin θ (sin θ + sin 3 θ). Then f (θ)
(a) ≥ 0 only when θ ≥ 0 (b) ≤ 0 for all real θ
(c) ≥ for all real θ (d) ≤ 0 only when θ ≤ 0
Q11. If x+y=k is normal to y² =12x, then k is
(a) 3 (b) 9
(c) -9 (d) -3
Q12. The dimension of (1/2) εoE² (εo: permittivity of free space; E: electric
field) is
(a) ML T1 (b) ML2 T 2
(c) MLT2 (d) ML2 T1
Q13. The electron in a hydrogen atom makes a transition from an excited
state to the ground state. Which of the following statements is true?
(a) Its kinetic energy increases and its potential and total energies
decrease.
(b) Its kinetic energy decreases, potential energy increases and its total
energy remains the same.
(c) Its kinetic and total energies decrease and its potential energy
increases.
(d) Its kinetic, potential and total energies decrease.
Q14. In a double slit experiment, instead of taking slits of equal widths, one
slit is made twice as wide as the other. Then, in the interference pattern
(a) the intensities of both the maxima and the minima increase.
(b) the intensity of the maxima increases and the minima has zero
intensity.
(c) the intensity of the maxima decreases and the minima has zero
intensity.
Q15. A hollow double concave lens is made up of very thin transparent
material. It can be filled with air or either of two liquids L1 and L2 having
refractive indices n1 and n2 respectively (n2 > n1 > 1). The lens will diverge a
parallel beam of light if it is filled with
(a) air and placed in air.
(b) Air and immersed in L1
(c) L1 and immersed in L2
(d) L2 and immersed in L1
Q16. A coil of wire having finite inductance and resistance has a conducting
ring placed coaxially within it. The coil is connected to a battery at time t=0,
so that a time dependent current I1 (t) starts flowing through the coil. If I2 (t)
is the current induced in the ring, and B(t) is the magnetic field at the axis of
the coil due to I1 (t), then as a function of time (t > 0), the product I2 (t) B(t)
(a) increases with time
(b) decreases with time
(c) does not vary time
(d) passes through a maximum.
Q17. Starting with the same initial conditions, an ideal gas expands from
volume V1 to V2 in three different ways. The done by the gas is W1 if the
process is purely isothermal, W2 if purely isobaric and W3 if purely
adiabatic. Then
(a) W2 >W1 >W3
(b) W2 >W3 >W1
(c) W1 >W2 >W3
(d) W1 >W3 >W2
Q18. Two radioactive materials X1 and X2 have decay constants 10λ and λ
respectively. If initially they have the same number of nuclei, then the ratio
of the number of nuclei of X1 to that of X2 will be 1/e after a time
(a) 1/(10λ)
(b) 1/(11λ)
(c) 11/(10λ)
(d) 1/(9λ)
Q19.In a compound microscope, the intermediate image is
(a) virtual, erect and magnified
(b) real, erect and magnified
(c) real, inverted and magnified.
(d) Virtual, erect and reduced.
Q20. Electrons with energy 80 ke V are incident on the tungsten target of an
X-ray tube. K shell electrons of tungsten have -72.5 ke V energy. X-ray
emitted by the tube contain only.
(a) a continuous X-ray spectrum (Bremsstrahlung) with a minimum
wavelength of ∼ 0.155 Å.
(b) a continuous X-ray spectrum (bremsstrahlung) with all wavelengths.
(c) the characteristic X-ray spectrum of tungsten.
(d) a continuous X-ray spectrum (Bremsstrahlung) with a minimum
wavelength of ∼ 0.155 Å.
Q21. An ionized gas contains both positive and negative ions. If it is
subjected simultaneously to an electric field along the+x direction and a
magnetic field along the +z direction, then
(a) positive ions deflect towards+y direction and negative ions towards-y
direction.
(b) all ions deflect towards +y direction.
(c) all ions deflect towards-y direction.
(d) positive ions deflect towards –y direction and negative ions towards
+y direction.
More Sample Papers Available at : http://www.educationinfoindia.com/
More Sample Papers Available at : http://www.educationinfoindia.com/
Q22. Three charges Q, + q and + q are placed at the vertices of a rightangled
isosceles triangle as shown. The net electrostatic energy of the
configuration is zero Q is equal to
(a) angular velocity and total energy (kinetic and potential)
(b) total angular momentum and total energy.
(c) Angular velocity and moment of inertia about the axis of rotation.
(d) Total angular momentum and moment of inertia about the axis of
rotation.
Q23. A large open tank has two holes in the wall. One is a square hole of
side L at a depth y from the top and other is a circular hole of radius R at a
depth 4y from the top. When the tank is completely filled with water, the
quantities of water flowing out per second from both holes are the same.
Then, R is equal to
(a) L
√2π
(b) 2πL
(c) L
(d) L
2π
Q24. Which of the following compounds will exhibit geometrical
isomerism?
(a) 1-pheny1-2 butene
(b) 3-pheny-1-butene
(c) 2-pheny-1-butene
(d) 1,1-dipheny0-1-propene
Q25.Benzoyl chloride is prepared from benzoic acid by
(a) Cl2 , hv
(b) SO2 CL2
(c) SOCl2
(d) Cl2 , H2 O
Q26.The correct order of radii is
(a) N
(c) T(N2 ) <> 22.4 litres
(b) Vm < vm =" 22.4">RCI>RBr>RI
(b) RF>RBr>RCI>RI
(c) RCI>RBr>RF>RI
(d) RI>RBr>RCI>RF
Q40. 60 Molecular shapes of SF4, CF4 and XeF4 are
(a) The same, with 2,0 and 1 lone pairs of electrons respectively.
(b) The same, with 1,1 and 1 lone pairs of electrons respectively.
(c) Different, with 0,1 and 2 lone pairs of electrons respectively.
(d) Different, with 1,0 and 2 lone pairs of electrons respectively.
Q41. The hybridization of atomic orbitals of nitrogen in in NO+
2 , NO-
3 and
NH+
4 are
(a) sp2, sp3 and sp2 respectively.
(b) Sp2, sp2 and sp3 respectively
(c) Sp2, sp and sp3 respectively.
(d) Sp2, sp3 and sp respectively.
Q42. Which of the following has the most acidic hydrogen?
(a) 3-Hexanone
(b) 2,4-hexanedione
(c) 2,5-hexanedione
(d) 2,3-hexanedione
Q43. The correct order of acidic strength is
(a) Cl2O7>SO2>P4O10
(b) CO2>N2O5>SO3
(c) Na2O>MgO>AL2O3
(d) K2O>CaO>MgO
Q44. A wind-powered generator converts wind energy into electrical energy.
Assume that the generator converts a fixed fraction of the wind energy
intercepted by its blades into electrical energy. For wind speed, v, the
electrical power output will be proportional to
(a) v
(b) v2
(c) v3
(d) v4
Q45. Consider an infinite geometric series with first term a and common
ratio r. If its sum is 4 and the second term is ¾, then
7 3
(a) a= r =
4 ’ 7
3
(b) a= 2, r=
8
3 1
(c) a= r=
2 ’ 2
1
(d) a= 3, r =
4
x
More Sample Papers Available at : http://www.educationinfoindia.com/
More Sample Papers Available at : http://www.educationinfoindia.com/
Q46. Let g (x) = 0 ƒ (t)dt, where f is such that ½ ≤ 1 for t ε [0,1] and 0 ≤ f
(t) ≤½ for t ε [1,2] Then g (2) satisfies the inequality,
3
(a) - ≤ g (2) < ½ 2 (b) 0 ≤ g (2) < c="π/2." 7="0" 11="0" 7="0" c="0," then="" 0=""><α < β (b) α < β < α (c) α < β < 2y="2" y2 =" a," 1 ="0" 1="0" 1=" 0" 1="0" d="2," m="(a+b)" z="0," z="0" y2="25." 6="0" k="0" a ="0" b =" b" c =" c" b =" b" c =" c" a =" 0" y =" f" x =" 0," x =" 0" a =" (a)">a, then the equation (x-a) (x-b) –1=0, has
(a) both roots in [a, b]
(b) both roots in (-∞,a)
(c) both roots in (b, +∞)
(d) one root in (-∞,a) and other in (b,∞)
Q70. For the equation 3x2+px+3=0, p>0, if one of the roots is square of the
other, then p is equal to
(a) 1/3
(b) 1
(c) 3
(d) 2/3
ACPCE - site of A. C. Patil College of Engineering, Mumbai
AUCE - Andhra University College of Engineering, Visakhapatnam, India
AV College of Engineering (ACES) - unofficial site of the college.
Adhiyamaan College of Engineering - engineering college in Hosur, Tamilnadu
Al-Falah School of Engineering & Technology - college in Faridabad.
Andhra University Engineering College, Vizag - detailed information about the college
Anna University - Bachelor's, Master's & Doctoral level degree courses in engineering
Applying for BITS, Pilani - comprehensive information about the institute and how to apply
Army Institute of Technology - unofficial site of AIT, Pune
Arulmigu Kalasalingam College of Engineering - premier engineering institution in Tamil Nadu offering engineering courses.
Assam Engineering College - about the college, departments, faculties, students hostel etc.
B.M.S.College of Engineering - a photographic tour of BMS College of Engineering, Bangalore
BITS, Pilani - Birla Institute of Technology and Sciences
BITS- Pilani - website of India's premier institute in engineering & technology
BMS College of Engineering - official site of BMS college of engineering
Bihar Institute of Technology - unofficial webpage of the engineering college in Dhanbad
Birla Institute of Technology, Mesra - admission info for the courses of M.Tech and MCA.
CCET - C U Shah College of Engineering & Technology
CMERI - Central Mechanical Engineering Research Institute
Chennai School of Ship Management - offers marine engineering courses
Coimbatore Institute of Technology (CIT) - unofficial home page for Coimbatore Institute of Technology(CIT).
Coimbatore Institute of Technology - government - aided private engineering college.
College of Engg. & Tech. - B. Arch., civil, electrical, mechanical & instrumentation engineering
College of Engineering - Pune - government engineering college
College of Engineering, Roorkee - home page of the college
College of Engineering - College of Engineering, Andhra University
College of Engineering - in Trivandrum
College of Military Engineering - B. Tech & M. Tech degrees in combat, civil & electrical engineering
D. Y. Patil College of Engineering - unofficial home page.
Datta Meghe College of Engineering - homepage of the NYSS College of Engineering, Mumbai
Department of Chem-Engg, M.S.R.I.T Bangalore - unofficial home page of the department of chem-engg, M.S.R.I.T
Department of Electrical Engineering, IITB - research & studies conducted by the Indian Institute of Technology, Mumbai
Department of Electronics Engineering - electrical department of Zakir Hussein College of Engineering & Technology
Division of Traffic & Urban Systmes Engineering - offers a PG programme to train manpower for urban development activities
ECE Fundas - official home page of the ECE department of Pondicherry engineering college
GNDEC - Guru Nanak Dev Engineering College at Bidar, Karnataka
Government Engineering College-Ujjain - unofficial homepage of the GEC, Ujjain
Government College Of Technology - a state funded co-educational autonomous engineering institution
Government College of Eng., Kannur
Government College of Technology - engineering college in Coimbatore
Government Engineering College Jabalpur
Government Engineering College, Aurangabad - unofficial home page of GEC, Aurangabad
Government Engineering College, Thrissur - information about the engineering college in Kerala
Govt. College of Engineering, Aurangabad
Harcourt Butler Technological Institute - undergraduate & post-graduate programmes in engineering & technology
Hindustan College of Engineering - official site.
IIT Kharagpur - the first in the chain of six IIT's
IT - BHU - Institute of technology, Banaras Hindu University - India
Indian Institute of Science - Department of Electrical Communication Engineering
Indira Gandhi Institute of Technology (IGIT) - Bachelors degrees in electrical, mechanical & civil engineering
Indira Gandhi Institute of Technology, Sarang
Institute of Engineering & Technology (IET) - B.Tech in electrical, civil & mechanical engineering, MCA & M.Tech
Institute of Engineering and Technology, Kanpur - unofficial site.
Jerusalem College of Engineering
Jerusalem College of Enginering - engineering college, technical education, B.E. & B.Tech
Jorhat Engineering College - includes information on departments, courses, admissions etc.
K.V.G. College of Engineering - bachelor's degree courses in electrical, mechanical, civil & computers
KIIT - Kalinga Institute of Industrial Technology, engineering, MCA, ITI etc.
Karunya Institute of Techology
Konkan Gyanpeeth College of Engineering - unofficial homepage providing information about the college
L.D.College of Engineering - unofficial homepage of engineering college in Ahmedabad
Lokmanya Tilak College of Engineering - a college affiliated to university of Mumbai.
M.B.M. Engineering College
MCKV Institute of Engineering - Bachelor's degrees in computer science, electronics & communication
MGM College of Engineering
MNREC - Motilal Nehru Regional Engineering College, Allahabad
Madan Mohan Malviya Engineering College, Gorakhpur
Madras Institute of Technology
Maharashtra Institute of Technology (MIT) - offers courses in engineering disciplines
Maland College of Engineering - architecture, civil engineering, computer science, engineering
Manipal Institute of Technology - offical website of the college
Mar Athanasius College of Engineering (MACE) - degrees in mechanical, electrical, electronics & computer engineering
Mookambigai College of Engineering - about the college, faculty, departments, courses, activities etc.
Muffakham Jah College of Engineering - computer science, electronics, mechanical, production & civil engg.
NITIE & INSERTECH - National Institute of Industrial Engineering & their panel discussions
P.V.P. Institute of Technology - Bachelor's degree & Diplomas in mechanical, electrical & other engineerings
PSG College of Technology
PSNA College of Engineering and Technology - news, profile, faculty, alumini, photos etc.
Pondicherry Engineering College - information on academic programs in B.Tech, M.Tech, MCA & PGDCA
Punjab Engineering College, Chandigarh
Regional Engg.College, Calicut(Kerala)
Regional Engineering College - Durgapur - engineering college, India
Sardar Patel College Of Engineering - information about the college, courses, services, events etc.
Sardar Patel College of Engineering (SPCE) - Bharatiya Vidya Bhavan's college for Bachelor's & Master's in engineering
Sathyabama Engineering College - graduate & post graduate programs in engineering
Shanmugha College of Engineering - about the college, courses, alumni, faculty, and activities.
Shri Guru Gobind Singhji College of Engineering - established by Government of Maharashtra.
Shri Ramdeobaba Kamla Nehru Engineering College - located at Nagpur.
TKIET - Tatyasaheb Kore Institute of Engineering & Technology
The Hindustan Group of Institutions - offering engineering, BSc, MCA and other related courses.
Thiagarajar College of Engineering - unofficial homepage of TCE, Madurai, India.
Tolani Maritime Institute, Pune - official site of the marine engineering college
Training Ship Chanakya - three year degree course for BSc. Nautical Science
UBDTCE Alumni Association - site of the University B.D.T.College of Engineering Alumni Association
University College of Engineering, Burla - offering address book, message board, latest UCE developments etc.
University College of Engineering - undergraduate & post-graduate programs in engineering under Osmania Univ.
V.R.Siddhartha Engineering College, Vijayawada
VNR College of Engineering & Technology - offer graduate courses in engineering disciplines
VeerMata Jijabai Technological Institute - offers degree courses in electrical, mechanical and other disciplines
VeerMata Jijabai Technological Institute
Walchand College of Engineering - the premier technical institute in Maharashtra.
Walchand Institute of Technology - the unofficial home page of the WIT, Solapur
