Short Practice Test 05 _ Test Papers (PCM) __ Prayas JEE 2025.pdf

Prayas JEE (2025) SHORT PRACTICE TEST – 05 DURATION : 60 DURATION 90 Minutes Minutes DATE : 01/09/2024 M. MARK...

Prayas JEE (2025) SHORT PRACTICE TEST – 05 DURATION : 60 DURATION 90 Minutes Minutes DATE : 01/09/2024 M. MARKS : 96 Topic Covered Physics : Kinetic Theory and Thermodynamics, Elasticity (Mechanical Properties of Solid), Heat transfer, Thermal Properties of Matter Chemistry : Chemical Bonding and Molecular Structure: Introduction, Ionic or Electrovalent Bond Kössel - Lewis Approach to Chemical Bonding Resonating Structure, Resonance Energy, Valence Shell Electron Pair Repulsion (VSEPR) Theory Resonating Structure, Resonance Energy, Valence Shell Electron Pair Repulsion (VSEPR) Theory Valence Bond Theory (VBT) VSEPR Theory Hybridisation Determination of Number of [p(pi) - p(pi)] Bonds Polarisability and Fajan's Rule Bond Enthalpy or Bond Dissociation Enthalpy Bond Parameters Mathematics : Application of Derivatives, Matrices, Determinants, Sequence and Series, Quadratic Equations 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. In the following figure the work done by the 5. In the following figure A certain mass of gas system in the enclosed path ABCA is traces three paths 1, 2 and 3 from state A to state B. If the work done by the gas along these paths are W1, W2 and W3 respectively. Then 1 (1) (V1  V2 )( P1  P2 ) 2 (1) W1 < W2 < W3 (2) Zero (2) W1 > W2 > W3 (3) ( P2  P1 )(V2  V1 ) (3) W1 = W2 = W3 1 (4)  ( P2  P1 )(V2  V1 ) (4) W1 < W2 but W3 < W2 2 6. Heat transfer occurs due to...............difference 2. The slopes of P-V curve of isothermal and (1) Thermal conductivity adiabatic curves are related as (2) Temperature (1) isothermal curve slope  adiabatic curve (3) Specific heat slope (4) Heat flux (2) isothermal curve slope    adiabatic curve slope 7. A solid material is supplied with heat at a constant (3) adiabatic curve slope    isothermal curve rate. The temperature of material is changing with slope heat input as shown in the figure. What does slope 1 DE represent. (4) adiabatic curve slope   isothermal curve 2 slope 3. Two wires A and B of same material have radii in the ratio 2 :1 and lengths in the ratio 4 :1. The ratio of the normal forces required to produce the same change in the lengths of these two wires is (1) latent heat of liquid (1) 1 : 1 (2) latent heat of vapour (2) 2 : 1 (3) heat capacity of vapour (3) 1 : 2 (4) inverse of heat capacity of vapour (4) 1 : 4 8. A metal sheet with a circular hole is heated. The 4. According to Hookes' law of elasticity, if stress is hole increased, the ratio of stress to strain:- (1) gets larger (1) increase (2) gets smaller (2) decreases (3) remains of the same size (3) becomes zero (4) gets deformed. (4) remains constant  SECTION-II (CHEMISTRY) 9. Which of the following is wrong statement 13. Which of the following is not true for a according to valence bond theory? hybridisation process? (1) A sigma bond is stronger than -bond (1) Electrons take part and not the orbitals (2) s-orbitals never form -bonds (2) Participating orbitals have almost equal (3) There can be only one sigma bond between energy two atoms (3) Hybrid orbitals have identical shape (4) p-orbitals always have only sideways (4) Hybrid orbitals have identical energy overlapping. 14. Which of the following bond angle order is 10. Which of the following species below have incorrect? molecular geometry similar to XeOF4? (1) NH3 > PH3 (1) XeO3 (2) PH3 > PF3 (2) PCl5 (3) O(CH3)2 < O (C2H5)2 (3) IOF4 (4) CO32  CO 2 (4) XeF5 15. Which of the following match of electron pair geometry of molecule is correct? 11. Which of the following bond length order is (1) NH3 – Pyramidal correct? (2) SF4 – Disphenoidal (1) F – F > Cl – Cl > Br – Br > I – I (3) XeO3 – Tetrahedral (2) I – I > Br – Br > Cl – Cl > F – F (4) BrF5 – Square pyramidal (3) Cl – Cl > Br – Br > F – F > I – I (4) Br – Br > Cl – Cl > I – I > F – F 16. Which of the following contains a co-ordinate 12. Compound with maximum ionic character is covalent bond? formed from: (1) NO 3 (1) Na and Cl (2) H2O (2) Cs and F (3) HCl (3) Cs and I (4) BaCl2 (4) Na and F SECTION-III (MATHEMATICS) 17. Number of equations of the form ax2 + bx + 1 = 0 p + r = 0 having real roots, where a, b  {1, 2, 3, 4} is 2p + q + r = 0 (1) 8 (2) 7 –q+r=0 (3) 6 (4) 3 has non trivial solution then the value of  can be the roots of quadratic equation which is (1) x2 – x – 2 = 0 18. A spherical iron ball of 10 cm radius is coated (2) x2 + x – 2 = 0 with a layer of ice of uniform thickness that melts (3) x2 + 4x + 1 = 0 at a rate of 50 cm3/min. When the thickness of (4) x2 + 4x + 3 = 0 ice is 5 cm, then the rate (in cm/min.) at which of the thickness of ice decreases, is 20. Find the all values of ‘a’ for which (1) 1 (2) 5  f  x    2  4 x  x  log a  3a  3 ; 0  x  3 3 36 6   x 18; x 3 1 1 (3) (4) has a local maxima at x = 3 18 54 (1) a  (1, 2) (2) a  R 19. If the system of equation (3) a  [1, 2] (4) a  [–3, 3] 21. The largest common term to the sequence 1, 11, 24. Let 21, 31, …… upto 100 terms and 31, 36, 41, 46,   ….. upto 100 terms is  2  3  2 3 6    (1) 381 (2) 471 A 3   6  11  6 3 2 4 , (3) 281 (4) 521        6 4 tan    1   4   22. If |A| = 2, where A is a square matrix of order 4, if A is a skew symmetric matrix, then  is then value of |AdjAdj(2A)| is (where Adj(A) denotes adjoint of matrix A) (1) 1 (2) 2 (1) 29 (2) 236 (3) 3 (4) 0 45 (3) 2 (4) 250 1 2 0  23. If A   2 1 0  , satisfies the characteristic  0 0 1 equation: A3 + aA2 + cA + bI = O (I is identity matrix of order 3) then the value of a + b + c is (1) –9 (2) 9 (3) 0 (4) –11 PW Web/App - https://smart.link/7wwosivoicgd4 Library- https://smart.link/sdfez8ejd80if