Coaching Classes for IIT Foundation, Olympiad and NTSE

ONE YEAR FOUNDATION COURSE STUDENTS PRESENTLY IN  IX and X In One Year Foundation Course the whole syllabus of Science & Mathematics will be exhaustively covered in three Phases each, in addition there would be regular periodical quizzes & tests on competitive exams i.e. NTSE,, Olympiads, etc. The complete syllabus in each year would be over by the end of DECEMBER. After which there would be mock tests on syllabus of Science & Mathematics as per the pattern of respective class annual Exams.

Two Year Foundation Course Students Presently in VIII

1. The whole syllabus of Science & Mathematics will be exhaustively covered in six phases. All these phases will have a Phase test, in addition to the same, there would be periodical tests & mock tests on competitive exams like NTSE / Olympiads, etc.

2. The complete syllabus in first year would be over by the end of December 2014, After which there would be mock tests based on the syllabus of respective classes. From April 2014 next year classes would commence in three Phases and it will comprise of three phases. After the completion of the entire syllabus till December 2014 there would be mock tests on latest CBSE pattern. These tests will help the students to develop required examination temperament.

3. Early completion of syllabus will give the students ample time to cope well with their preparation for annual exams and also revise & consolidate the knowledge and skills taught in Two year Foundation Course at Apex Institute.

Batch Option(s) # Regular Batch*: Classes will be held 3/4 days a week. The class timings other than the vacations will be after school hours. During vacations the classes can be held in the morning hours as well. Course Commencement: April/ May / 2014 Duration: 600 hours (approximately). Mode of Admission: Admission-cum-Scholarship Test to be held from March 2014 to May 2014. # Batch formation in the above programmed is subject to requisite number of students (essential for a competitive batch size) qualifying in the admission test.

      +91-99101817866, +91-9990495952, +91-9310122993

     Mail Id: apex4iit@gmail.com.

     Website: www.apexiit.co.in/  

     Head Office: 62-Nitikhand-III, Indirapuram, Gzb.

     Branch Office: 1030-31 Sector-III, Vaishali, Gzb.

     Branch Office: C-27, R.D.C. Rajnagar, Ghaziabad.

IIT(Main)PHYSICS PROBLEMS

         The two rails of railway track, insulated form each other and ground are connected to a milli voltmeter. What is the reading of the voltmeter when a train travels at a speed of 180km h-1 along the track? Given vertical component of earth’s magnetic field 0.2 x 10-4T and the separation between the rails 1m?

a) 1 mV b) 3 mV c) 6 mV d) 9 mV

       A current I is flowing through a coil. The emf induced in it is 0.2 V when the current is changed from 5A to -5A in 0.2s. The self inductance of the coil is

a) 4 mH b) 8 mH c) 10 mH d) 12 mH

     A rectangular coil of 100 turns and dimensions 0.1m x 0.05m is placed perpendicular to a magnetic field of 0.1T. The induced emf when the field drops by 0.05T in 0.05s is

a) 0.5 V b) 1.0 V c) 1.5 V d) 2.0 V

    An ideal solenoid of cross-sectional area 10-4m2 has 500 turns per meter. At the centre of this solenoid, another coil of 100 turns is wrapped closely around it. If the current in the solenoid changes from 0 to 2A in 3.14ms-1, the emf developed in the second coil is

a) 1 mV b) 2 mV c) 3 mV d) 4 mV

    A rectangular loop of sides 8cm and 2cm having resistances of 1.6 is placed in a magnetic field of 0.3 T directed normal to the loop. The magnetic field is gradually reduced at the rate 0.02 T s^-1. How much power is dissipated in the loop as heat?

            a) 1.6 x 10^-10 W           b) 3.2 x 10^-10 W           c) 6.4 x 10^-10 W                       d) 12.8 x 10^-10 W

    A motor having an armature of resistance 2 is designed to operate at 220 V mains. At full speed, it develops a back emf of 210 V. What is the current in the armature when the motor is running at full speed?

            a) 2.5 A                       b) 5.0 A                       c) 7.5 A                                   d) 10 A

   A circular coil of radius 10cm and 500 turns placed on a horizontal table is turned upside down in 0.5s. The mean emf generated in the coil is (Earth’s vertical field is 0.43 x 10-4T).

a) 0.2 V b) 0.02 V c) 2.7 mV d) 2.8  V

   A conducting rod of length l is rotated at an angular velocity about one end in a uniform magnetic field acting normal to the plane of rotation. Obtain an expression for the induced e.m.f. developed in the rod.

   A copper wire of length 20cm and area of cross section 1 mm² is bent into a square loop and kept in a magnetic field of 0.4T acting normal to its plane. Find the total amount of charge that passes through the loop when the magnetic field disappears (Given specific resistance of copper = 1.7 x 10^-8 )

   Two circular loops are placed with their centres separated by a distance l. The angle between their area vectors is  . The value of   for obtaining the maximum mutual inductance between the coils is

a) Zero b) 450 c) 900 d) 1200

    If L, C and R represent the inductance, capacitance and resistance then (R/L) has dimensions of 

a) Frequency b) Time c) emf d) Ampere

   In the above problem, which of the following has dimension of time?

a) RC b)   c)   d)  

   A solenoid has an inductance of 53 mH and a resistance of 0.37 . If it is connected to a battery of constant emf, long will the current take to reach 50% of its equilibrium value?

a) 0.5 s b) 0.3 s c) 0.2 s d) 0.1 s

   In the above problem, if the emf of the battery is 12V, how much energy is stored in the magnetic field after the current has built up to its equilibrium value?

a) 27.9 J b) 31 J c) 39 J d) 41 J

   A 4H inductor is placed in series with a 12.8  resistor and an emf of 3.24V is suddenly applied across the LR combination at t = 0. At 0.313s what is the rate P at which energy is being delivered by the battery?

a) 516 mW b) 600 mW c) 800 mW d) 1 W

   In the above problem, at t = 0.313s at what rate is thermal energy appearing in the resistor?

a) Zero b) 323 mW c) 623 mW d) 1 W

   In the above problem at what rate is energy stored in the magnetic field at 0.313s?

a) 193 mW b) 391 mW c) 516 mW d) 1 W

   Two coils of different radii are made of copper wires of same length. The ratio of number of turns in the two coils is 1 : 4. Then the ratio of their self inductances is

a)   b)   c)   d)  

    When the radius of a coil is doubled without changing the length of the wire, its self inductance is 

a) doubled b)halved c) tripled d) quadrupled

    a circuit has a self inductance coil of self inductance 10 H and carries a current of 1 A. To prevent sparking when the circuit is switched off, a capacitor which can withstand 1000 V is connect parallel to the switch. The minimum value of the capacitance that is to be used is

a) 0.1   b) 0.1   c) 0.1   d) 10  

    Two self inductance coil are arranged so close to one another that the flux produced by one coil is completely connected with the other. What is the mutual inductance between the two coils if the sum and difference of their self inductance is respectively 26 mH and 10 mH?

            a) 2.6 mH                    b) 12 mH                     c) 26 mH                     d) 10 mH

    A transformer is used to step up an alternating emf of 220 V to 4.4 kV in order to transmit 6.6kW of power. If the primary coil has 100 turns, what is the number of turns in the secondary?

            a) 20                            b) 200                          c) 2000                        d) 20000

    An inductive coil has a resistance of 100. When an signal of frequency 1000 Hz is fed to the coil, the applied voltage leads the current by 45⁰. What is the inductance of the coil?

            a) 10 mH                     b) 12 mH                     c) 16 mH                                 d) 20 mH

    Two circuits 1 and 2 are connected to identical dc source each of emf 12V. Circuit 1 has a srlf inductance L₁ = 10H and circuit 2 has a self inductance L₂ = 10 mH. The total resistance of each circuit is 48. The ratio of steady current in circuits 1 and 2 is

            a) 1000                        b) 100                          c) 10                                        d) 1

    A capacitor of capacitance 2 is charged to a potential difference of 12V. The charging battery is then removed and the capacitor is connected across an inductor of self inductance       0.6 mH. The current in the circuit at a time when the potential difference across the capacitor 6V is

a) 0.3 A b) 0.6 A c) 0.9 A d) 1.2 A

   A coil of resistance 50 , an inductance of 10H and a capacitor of 5 are connected in series with an AC source of 200V, 50 Hz. Calculate

a) The impedance of the circuit

b) The phase difference between current voltagw

c) Potential difference across the inductor, capacitor and resistor

    An LCR circuit has L = 10 mH, R = 5  and C = 1  connected in series with an AC source of emf E = 10sin . Calculate the current amplitude at a frequency that is 20% lower than the resonant frequency.

    a 24V, 10w lamp is to be put on AC mains of 220V, Hz. Calculate the 

(i) inductance and   (ii) capacitance     (iii) resistance required to be put in series with the lamp.

National Talent Search Examination

National Talent Search Examination (NTSE) is a national-level scholarship program in India to identify and recognize students with high intellect and academic talent. It is one of the most prestigious exams in India. Close to 1,50,000 students appear in this scholarship exam every year. The scheme is open to students of Indian nationality. Only students studying in Class X are eligible to appear for the selection process. As it is organized by an official body (NCERT), it is widely regarded by the Government of India as the toughest and most prestigious examination at high school level in the country.

NTSE or National talent search examination is conducted on a national level in 2 stages.

National Talent Search Examination Stage-1 is conducted by states and union territories. This is a written exam where students are supposed to answer questions related to mental ability, general science and maths. Each state /union territory

selects a pre-specified number of candidates to represent it in the second round i.e.State-2.

Stage-1 written exam consists of MAT (mental aptitude test) and SAT (scholastic aptitude test). Both the tests have 100 multiple choice questions to be answered in 90 minutes.

stage-2 is conducted at a national level by NCERT. Only students who clear stage-1 of NTSE are eligible to sit in this stage. NTSE's stage-2 also has MAT and SAT. Further, those candidates who qualify the written exam at the national level will be called for interview.

Apex has been constantly nurturing students from the past five years, and we have regularly proved our

competence. With a vision to expand the concept of technical education, Apex has a well planned Teaching methodology with excellent faculty department.

From our N.T.S.E program students will be able to understand the real aspect of aptitude that is needed to

crack any competitive exam. And our expert trainers will move them forward step by step towards their ultimate goal. And not only for N.T.S.E would student find our methodology beneficial for their yearly course. Apex comprises of a dedicated management. Whose sole focus is to develop result from the students. Our program would be much beneficial for the student as it would raise the level of aptitude of the student involved in our program, student would become more inclinable to achieve a greater C.G.P.A in their academic result.

APEX TALENT REWARD EXAMINATION (ATRE)

APEX INSTITUTE, premier institute for IIT-JEE training will be conducting APEX INSTITUTE Talent Reward Exam on Sunday 16th December 2012. APEX INSTITUTE Talent Reward Examination (ATRE) is meant for students presently in class V, VI, VII, VIII, IX, X, XI & XII, who have as their target NTSE & Junior Olympiads; excellence in boards; SAT- I; SAT-II; TOEFL and advance placements for admission to US University; IITJEE / MEDICAL / XII Board or integrated school / Olympiads / KVPY / SAT Plus and other engineering entrance competitive examinations. APEX INSTITUTE, a socially responsible organization aims to help these serious IIT-JEE aspirants realize their dreams through this examination and based on their performance, it will help them know their chances of success in securing a seat in the IIT's through the Rank Potential Index obtained in ATRE.

Students can use this exam as an assessment tool to decide about their best career choice / option and the need to join any relevant coaching / support program. Substantial STUDY SCHOLARSHIP and CASH AWARDS will be given to those students who will perform exceptionally well in the exam.


There will be a minimal fee for appearing in APEX INSTITUTE Talent Reward Exam. The exam pattern of APEX INSTITUTE Talent Reward Exam is truly scientific and is a combination of objective and subjective questions. The exam will be held in different sessions starting from 9:30 am to 2:30 pm with proper intervals. The questions will cover all the important topics of Science & Mathematics and also test the student's IQ & Aptitude for their overall assessment.

The last date for the registration is 9th December, 2012 with a registration fee of just Rs. 200/- and after 11th December, 2013 the late fees of Rs. 100/- (total exam fee of Rs. 300/-) along with the registration fee will be charged till 15th December, 2012. Results will be announced in first week of January 2013.

Further details and information about the registration process, exam schedule, the details of syllabi and the regular APEX INSTITUTE Programs are available at www.apexiit.co.in/
The serious students vying for success with a good rank in the IITs and the other competitive entrance exams will not only get an in-depth expert feedback on their preparation but also will get opportunities, guidance and suggestions to plug loopholes, clear stumbling blocks, strengthen their competitive skills and raise their IQ by joining APEX INSTITUTE's classroom program, the program that provides crucial inputs during their preparatory stage for IITJEE and any other competitive exam and they will address various important aspects related to Planning Study Schedules, Time Management Techniques, Answering Tactics and Revision Strategies to optimize their performance on the exam day.

"This exam is of paramount importance to all the IIT-JEE aspirants as well as others who aim to succeed in the Boards, IITs, and other competitive exams as they will know their Success Potential Index for IIT-JEE and other competitive entrance exams based on their performance. This will further help them evaluate better as to where they stand in terms of competitive merit, what more they have to do to achieve and how well they have to prepare for it to secure a seat in IITs. Later, our relevant academic programs will help them enhance their IQ, potential skills, speed, comprehension & analytical ability and develop examination temperament even with yoga tips to maximize concentration & stamina to experience success. We are especially conducting this exam for these aspirants with a view to provide strong motivation to them and guide them to choose the right study materials, relevant books, other academic assistance and imbibe all cogent proven techniques for IIT-JEE and other crucial competitive test preparation.

Awards & Scholarships: Based on the performance in subjective paper of APEX INSTITUTE Talent Reward Exam, students will be rewarded.


Serious students aspiring for success with a good rank in any Competitive / Engineering Entrance Exams understand the importance of starting early in their preparation. As the entrance exams have become more competitive now it is necessary to build a strong fundamental base, as early as possible. APEX INSTITUTE's early edge programs are designed to give serious students that extra advantage that can help them get a Top Rank in any Competitive / Engineering Entrance Exams.