Tiêu đề 31.12.23_SR.STAR CO-SC(MODEL-A,B_C)_Jee_Main_GTM-4_QP.pdf ✅

Sec: SR.IIT_*CO-SC(MODEL-A,B&C) Date:31-12-23 Time: 3HRS Max. Marks: 300 Name of the Student: ___________________ H.T. NO: 31-12-23_SR.STAR CO-SUPER CHAINA(MODEL-A,B&C)_JEE-MAIN_GTM-4_SYLLABUS PHYSICS: TOTAL SYLLABUS CHEMISTRY: TOTAL SYLLABUS MATHEMATICS: TOTAL SYLLABUS SUBJECT MISTAKES JEE SYLLABUS Q'S JEE EXTRA SYLLABUS Q'S TOTAL Q'S MATHS PHYISCS CHEMISTRY
Narayana IIT Academy 31-12-23_SR.IIT_*CO-SC(MODEL-A,B&C)_JEE-MAIN_GTM-4_Q’P SR.IIT_*CO-SC Page. No. 2 PHYSICS MAX.MARKS: 100 SECTION – I (SINGLE CORRECT ANSWER TYPE) This section contains 20 multiple choice questions. Each question has 4 options (1), (2), (3) and (4) for its answer, out of which ONLY ONE option can be correct. Marking scheme: +4 for correct answer, 0 if not attempted and -1 if not correct. 1. A galvanometer of resistance 100  contains 100 division. It gives a deflection of one division on passing a current of 4 10 A  . Find the resistance to be connected to it, so that it becomes a voltmeter of range 10V. A) 500 9  B) 500  C) 100 9  D) 900  2. If mass density of earth varies with distance ‘r’ from centre of earth as   k r and ‘R’ is radius of earth, then find the orbital velocity of an object revolving around earth at a distance ‘2R’ from its centre. A) 3 4  kR G B) 3 2  kR G C) 3 8  kR G D) 3  kR G 3. A particle moves clockwise in a circle of radius 1 m with centre at ( , ) (1 , 0) x y m  . It starts at rest at the origin at time t  0 . Its speed increases at the constant rate of 2 / 2 m s        . If the net acceleration at t  2sec is   2 1 2 N    then what is the value of N ? A) 2 B) 4 C) 1 D) 6 4. The rms speed of hydrogen molecules at a certain temperature is 300 m/s. If the temperature is doubled and hydrogen gas dissociates into atomic hydrogen, the rms speed will become A) 100 m/s B) 300 m/s C) 600 m/s D) 300 2 / m s 5. The power of a lens (biconvex) is 1 1.25m  in a particular medium. Refractive index of the lens is 1.5 and radii of curvature are 20 cm and 40 cm respectively. The refractive index of surrounding medium is A) 1.0 B) 9 7 C) 3 2 D) 4 3
Narayana IIT Academy 31-12-23_SR.IIT_*CO-SC(MODEL-A,B&C)_JEE-MAIN_GTM-4_Q’P SR.IIT_*CO-SC Page. No. 3 6. Let An be the area enclosed by the nth orbit in a hydrogen atom. The graph of n A A  n / 1  against n n( ) A) will not pass through the origin B) will have certain points lying on a straight line with slope 4 C) will be a monotonically increasing non linear curve D) will be a circle 7. A screw gauge has 50 divisions on its circular scale. The circular scale is 4 units ahead of the pitch scale marking, prior to use. Upon one complete rotation of the circular scale, a displacement of 0.5mm is noticed on the pitch scale. The nature of zero error involved and the least count of the screw gauge are respectively A) Positive, 0.1  m B) Positive, 10  m C) Negative, 10  m D) Negative, 0.1  m 8. In an LC oscillator, if values of inductance and capacitance become twice and eight times, respectively, then the resonant frequency of oscillator becomes ' ' x times its initial resonance frequency 0 . The value of ' ' x is A) 1 4 B) 4 C) 16 D) 1 16 9. A closed organ pipe and an open pipe of same length produce 6 beats per sec when they are set into vibrations simultaneously with their fundamental frequency. If the length of each pipe is doubled, then the number of beats produced is A) 4 B) 3 C) 5 D) 7 10. A closely wound solenoid of 1000 turns and area of cross – section 4 2 2.0 10 m   carries a current of 2.0 A. It is placed with its axis horizontal in a uniform horizontal magnetic field of 0.16 T. If the solenoid is free to turn about the vertical direction. The amount of work (in J) needed to displace the solenoid from its stable orientation to its unstable orientation is 8 250 x . Find the value of x ? A) 5 B) 4 C) 3 D) 2
Narayana IIT Academy 31-12-23_SR.IIT_*CO-SC(MODEL-A,B&C)_JEE-MAIN_GTM-4_Q’P SR.IIT_*CO-SC Page. No. 4 11. The ratio of the KE and PE possessed by a body executing SHM when it is at a distance of 1/n of its amplitude from the mean position is A) 2 n B) 2 1 n C) 2 n 1 D) 2 n 1 12. A fish rising vertically up towards the surface of water with speed 1 3 ms observes a bird diving vertically down towards it with speed 1 9 ms . The actual velocity of bird is (Given 4 3  water  ) A) 1 4.5 ms B) 1 5.4 ms C) 1 3.0 ms D) 1 3.4 ms 13. Electric potential on the surface of a uniformly charged solid sphere is V. Radius of the sphere is R(=1m). Match the following two columns. (' ' r is the distance from the centre of the sphere) Column I Column II (A) Electric potential at R r 2  (P) V 4 (B) Electric potential at r 2R  (Q) V 2 (C) Electric field at 3R r 4  (R) 3V 4 (D) Electric field at r 2R  (S) 11 8 V A) A – P; B – R; C – Q; D – S B) A – S; B – P; C – Q; D - R C) A – S; B – Q; C – R; D – P D) A – R; B – Q; C – P; D – S 14. In the figure, potential difference between A and B is (Diode is ideal) A) 5 V B) 10 V C) zero D) 15 V 15. In a photoelectric experiment, with light of wavelength  , the fastest electron has speed v. If the exciting wavelength is changed to 3 , 4  the speed of the fastest emitted electron will become A) 3 4 v B) 4 3 v C) less than 3 4 v D) greater than 4 3 v