Short Practice Test 02 _ Test Paper __ Arjuna JEE 2025.pdf

Arjuna JEE (2025) SHORT PRACTICE TEST – 02 DURATION : 60 DURATION 90 Minutes Minutes DATE : 26/05/2024 M. MARKS : 96...

Arjuna JEE (2025) SHORT PRACTICE TEST – 02 DURATION : 60 DURATION 90 Minutes Minutes DATE : 26/05/2024 M. MARKS : 96 Topic Covered Physics : Units and Measurements (Complete Chapter), Mathematical Tools: Algebra AP series GP series Binomial Expression. Chemistry : Atomic Structure Till Debroglie Equation Don't include discovery of fundamental particles, Heisenberg Uncertainty Principle, Modern Quantum Theory. Mathematics : Basic Mathematics: (Complete Chapter) Sets: (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. Using Binomial approximation find the value of 5. If acceleration due to gravity at height ( ) where is radius of earth ( ) (1) 9.97 (2) 9.98 then using binomial theorem which is correct (3) 9.96 (4) 9.9498 (1) 2. The relative density of material of a body is found (2) ( ) by weighing it first in air and then in water. If the (3) ( ) weight in air is ( ) newton and weight in water is ( ) newton. Then the (4) ( ) relative density along with the maximum permissible percentage error is 6. find the sum of the series. (1) (2) (1) 25250 (3) (4) (2) 252500 (3) 2525 3. Choose the incorrect statement. (4) 5000 (1) Change in unit does not change the number of significant figure. 7. If are roots of the equation (2) In a change of , then is equal to significant figure occur from 4 to 2 due to (1) change in unit. (2) (3) In , there is no (3) change in the number of significant figures. (4) (4) None of the above 8. Find *. up to ] 4. Force applied by water stream depends on density of water ( ), velocity of the stream ( ) and cross- (1) sectional area of the stream ( ). The expression (2) of the force should be (3) (1) (2) (4) (3) (4) SECTION-II (CHEMISTRY) 9. If wavelength is equal to the distance travelled by 11. In order to increase the kinetic energy of ejected the electron in one second, then :- photoelectrons, there should be an increase in (1) (1) intensity of radiation. (2) wavelength of radiation. (2) (3) frequency of radiation. (4) both wavelength and intensity of radiation. (3) √ 12. Bohr's theory is applicable for (4) √ (1) (2) (3) 10. The total number of neutrons in dipositive zinc (4) All of these ions with atomic number 30 and mass number 70 is: 13. Radius of Bohrs orbit of hydrogen atom is (1) 34 (1) (2) 40 (2) (3) 36 (3) (4) 38 (4) 14. Which orbit will be excited state? 16. If the angular momentum of excited state (1) 5 (2) 6 is , then what will be Z (3) 7 (4) 8 (1) 5 (2) 2.5 15. In a hydrogen atom, if energy of an electron in (3) 4 ground state is , then energy in the (4) None of these excited state is (1) (2) (3) (4) SECTION-III (MATHEMATICS) 17. If A is the set of days in a week, then set A is 22. If x ( ) is any real number, then x3 + 1 > x2 + x (1) Empty set (2) Singleton set if: (3) Finite set (4) Infinite set (1) x > – 1 (2) Inequality doesn't hold for any real x 18. If ( ) then the value of x is: (3) x = – 1 (1) x = 3, –2 (4) x < – 1 (2) x = 2, –3 (3) x = –2, –3 23. Solve the inequalities in the following. (4) None of the above 19. If P = {x : x is a prime number less than 20} and (1) x4 – n(M) is (3) x