Prayas JEE 2.0 2025 Short Practice Test 01 PDF

Prayas JEE 2.0 (2025) SHORT PRACTICE TEST – 01 DURATION : 60 DURATION 90 Minutes Minutes DATE : 23/06/2024 M. MARKS : 96 T...

Prayas JEE 2.0 (2025) SHORT PRACTICE TEST – 01 DURATION : 60 DURATION 90 Minutes Minutes DATE : 23/06/2024 M. MARKS : 96 Topic Covered Physics : Motion in a Straight Line: Introduction, Concept of position, path length (distance), displacement, Speed, Velocity, Acceleration, Graphs: Increasing order graph, Decreasing order graph, Constant order graph, Plotting of curve on the basis of equation of the curve, Position/displacement time curve, Velocity-time curve, Acceleration-time curve, Distance- time curve, Speed-time Curve, Velocity-position curve Chemistry : Structure of Atom (Complete Chapter) Mathematics : Basic Maths (Complete Chapter) General Instructions: 1. Immediately fill in the particulars on this page of the test booklet. 2. The test is of 1-hour duration. 3. The test booklet consists of 24 questions. The maximum marks are 96. 4. There are three subjects in the question paper, Subject I, II, and III consisting of Section-I (Physics), Section-II (Chemistry), Section-III (Mathematics) and having 8 questions in each part. 5. Each correct answer will give 4 marks while 1 Marks will be deducted for a wrong response. 6. No student is allowed to carry any textual material, printed or written, bits of papers, pager, mobile phone, any electronic device, etc. inside the examination room/hall. 7. On completion of the test, the candidate must hand over the Answer Sheet to the Invigilator on duty in the Room/Hall. However, the candidates are allowed to take away this Test Booklet with them. OMR Instructions: 1. Use blue/black dark ballpoint pens. 2. Darken the bubbles completely. Don't put a tick mark or a cross mark where it is specified that you fill the bubbles completely. Half-filled or over-filled bubbles will not be read by the software. 3. Never use pencils to mark your answers. 4. Never use whiteners to rectify filling errors as they may disrupt the scanning and evaluation process. 5. Writing on the OMR Sheet is permitted on the specified area only and even small marks other than the specified area may create problems during the evaluation. 6. Multiple markings will be treated as invalid responses. 7. Do not fold or make any stray mark on the Answer Sheet (OMR). Name of the Student (In CAPITALS) : _______________________________________________________________ Roll Number : _____________________________________________________________________________________________ OMR Bar Code Number : ________________________________________________________________________________ Candidate’s Signature : _______________________________ Invigilator’s Signature _____________________  SECTION-I (PHYSICS) 1. The velocity-time graph of a body moving in a 5. A car goes from A to B along the path with straight line is shown. The displacement of the constant acceleration a as shown in figure. body in 10 s is Student-1 infers that initial velocity is positive, acceleration is negative and displacement is positive. Student-2 infers that initial velocity is negative, acceleration is positive and displacement is positive. (1) 4m (1) Student-1 is correct (2) 6m (2) Student-2 is correct (3) 8m (3) Both are correct (4) 10 m (4) Both are wrong 2. The position x of a particle with respect to time t 6. If magnitude of average speed and average along the x-axis is given by x = 9t − t where x 2 3 velocity over a time interval are same, then is in metres and t is in seconds. What will be the (1) The particle must move with zero position of this particle when it achieves acceleration. maximum speed along the +x direction? (2) The particle must move with non-zero (1) 54 m acceleration. (3) The particle must be at rest. (2) 81 m (4) The particle must move in a straight line (3) 24 m without turning back. (4) 32 m 7. Referring to a-t diagram, find the velocity of the 3. Acceleration(a)-displacement (s) graph of a particle at t = 20 s. Assume that the particle was at particle moving in a straight line is as shown in the origin at t = 0 and was moving with a velocity the figure. The initial velocity of the particle is of 10 m/s in negative x-direction: zero. The Velocity (V) – displacement (s) graph of the particle would be (1) 20 m/s (2) 22 m/s (1) (2) (3) 18 m/s (4) 42 m/s 8. A car starts from rest and accelerates uniformly by for 4 seconds and then moves with uniform (3) (4) velocity. Which of the x -t graph represent the motion of the car? 4. In a straight line motion the distance travelled is (1) (2) proportional to the square root of the time taken. The acceleration of the particle is proportional to :- 2 (1) v (2) v (3) (4) 3 (3) v (4) v  SECTION-II (CHEMISTRY) 9. The orientation of an atomic orbital is governed 13. According to the Aufbau principle: by: (1) electrons enter the lowest available energy (1) Azimuthal quantum number level. (2) Spin quantum number (2) only two electrons can occupy an orbital. (3) Magnetic quantum number (3) orbitals are regions where one is likely to (4) Principal quantum number find an electron. (4) electrons tend to remain unpaired. 10. The momentum of a particle which has a de Broglie wavelength of 0.1 nm is: (h = 6.6 × 14. The total number of possible values of m for the 10−34 Js) value of l = 2 is (1) 0 (2) 2 (1) 3.2 10–24 kg ms−1 (3) 4 (4) 5 (2) 4.310–22 kg ms−1 40 40 40 (3) 5.310–22 kg ms−1 15. 18 Ar, 19 K, 20Ca are: (1) Isotopes (2) Isobars (4) 6.6 10–24 kg ms−1 (3) Isotones (4) Isoelectronic 11. What is the correct electronic configuration of an 16. Match the Column-I with Column-II. atom (Cu) with atomic number 29? Column-I Column-II (1) 1s2 ,2s2 2p6 ,3s2 3p6 3d10 ,4s1 I. Uncertainty an P. 0.529  n 2 (2) 1s2 ,2s2 2p6 ,3s2 3p6 ,4s2 3d9 object Z (3) 1s2 ,2s2 2p6 ,3s2 3p6 ,4s2 4p6 3d3 II. Bohr’s radius of Q. h an orbit 4m (4) 1s2 ,2s2 2p6 ,3s2 3p6 ,4s2 4p6 ,5s2 5p1 III. Angular R. h momentum of an mv 12. According to Dalton, the smallest particle of orbit matter which is indivisible, is called: IV. de Broglie S. h (1) Molecule n wavelength 2 (2) Atom (1) (I)-(R), (II)-(S), (III)-(P), (IV)-(Q) (3) Compound (2) (I)-(Q), (II)-(P), (III)-(S), (IV)-(R) (4) Ion (3) (I)-(S), (II)-(R), (III)-(P), (IV)-(Q) (4) (I)-(P), (II)-(Q), (III)-(S), (IV)-(R) SECTION-III (MATHEMATICS) 17. The equation 3log10 x = 54 − xlog10 3 has: 19. The value of (1) Only one solution  1  1  1 log3 1 +  + log3 1 +  + log3 1 +  (2) Two solution  3  4  5 (3) No solution  1  (4) Three solution +.... + log3 1 +  is equal to  242  18. Complete solution set of (1) 1 (2) 3 (3) 4 (4) 5 ( x + 1)2015 ( x)2016 ( x + 2)2017  0 is given by ( x + 3)2018 ( x + 4)2019 20. Let a and b (a > b) are the solution of the (1) (−, −4)  [−2, −1] equation 2|x + 1| + |x – 2| = 9, then (2) (−, −4)  (−2, −1) (1) a + b = 6 (3) (−4, −3)  (−3, −2]  [−1, ) (2) a – b = 0 (4) (−4, −3)  (−3, −2)  (−1, ) (3) |ab| = 9 a (4) =| a + b | b 21. If S is a solution set of x satisfying 23. Number of integral value of x for which ( x + 1)  5 − x , then which of the following logarithmic inequality log0.2(x2 – 4)  –1, satisfies intervals is a subset of S? is (1) (3,5] (2) (–1, 5] (1) 1 (2) 2 (3) (3, 6) (4) (2, 8] (3) 3 (4) 0 22. If x, y, z simultaneously satisfy the equation 24. Which of the following is negative? 10 log2 x + log4 y + log4 z = 2,   (1)  log 1 7  log3 y + log9 z + log9 x = 2,    5  log4 z + log16 x + log16 y = 2, then log1/5 7 ( ) (2) Which of the following is not true? log1/3 3 + cos2 x (1) x2yz = 16 (2) xyz = 24 (3) log3 ( log5 (log 4 22) ) 2 (3) x = (4) yz = 32 3 (4) log9 (log4 5) PW Web/App - https://smart.link/7wwosivoicgd4 Library- https://smart.link/sdfez8ejd80if