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FIITJEE TEST PAPER 5

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Date : 05.09.2022 Time Allotted: 3 Hours Maximum Marks: 210 INSTRUCTIONS Caution: Question Paper CODE as given above MUST be correctly marked in the answer OMR sheet before attempting the paper. Wrong CODE or no CODE will give wrong results. A. General Instructions 1. This paper is divided into THREE (3) Sections: A. Section-1 (Physics) B. Section-2 (Chemistry) C. Section-3 (Maths) 3. Each section has two parts: Part-A & Part - B A. Part–A (Question number 1 to 10): This part contains 10 multiple choice questions. Each question has four choices (A), (B), (C) and (D) out of which ONLY ONE is correct. B. Part–B (Question number 11 to 20): This part contains 10 multiple choice questions. Each question has four choices (A), (B), (C) and (D) out of which ONE OR MORE CORRECT is correct. B. Marking Scheme for All Three Parts. 1. Part-A (Question number 1 to 10): For each question, you will be awarded 3 marks if you darken the bubble corresponding to the correct answer and zero mark if no bubbles are darkened. (-1) minus one will be awarded for incorrect answers in this section. 1. Part-B (Question number 11 to 20): For each question, you will be awarded 4 marks if you darken the bubble corresponding to the correct answer and zero mark if no bubbles are darkened. (-1) minus one will be awarded for incorrect answers in this section. Name of the Candidate: ___________________________________________________________ Enrolment Number: ______________________________________________________________ Batch :____________________________ Date of Examination :__________________________ ITY (E) : 2022-24 FIITJEE COMMON TEST - 2024 CLASS XIth PHYSICS, CHEMISTRY & MATHEMATICS WEEKLY TEST 05FCT2024- WQ-05-PCM- 2 Physics Section - 1 Part – A Single Correct Answer Type This section contains 10 multiple choice questions. Each question has four choices (A), (B), (C) and (D) out of which ONLY ONE is correct. For each question, you will be awarded 3 marks if you darken the bubble corresponding to the correct answer and zero mark if no bubbles are darkened. (-1) minus one will be awarded for incorrect answers in this section. 1. P110308 Two cars A and B are moving with same speed of 45 km/hr along same directions If a third car C coming from the opposite direction with a speed of 36 km/hr meets two cars in an interval of 5 minutes, the distance of separation of two cars A and B should be (in km) (A) 6.75 (B) 7.25 (C) 5.55 (D) 8.35 Q-1013645 A 2. P110308 A train of 150 m length is going towards north direction at speed of 10 m s-1, A parrot flies at a speed of 5 m s-1 to wards south direction parallel to the railway track, The time taken by the parrot to cross the train is equal to (A) 12 s (B) 8 s (C) 15 s (D) 10 s Q-1013646 D 3. P110308 A 120 m long train is moving towards west with a speed of 100 m/s. A bird flying towards east with a speed of 5 m/s crosses the train. The time taken by the bird to cross the train will be (A) 16 sec (B) 12 sec (C) 10 sec (D) 8 sec. Q-1013647 D 4. P110308 A police jeep is chasing with velocity of 45 km/h a thief in another jeep moving with velocity 153 km/h. Police fires a bullet with muzzle velocity of 180 m/s. The velocity with which it will strike the car of the thief is (A) 150 m/s (B) 27 m/s (C) 450 m/s (D) 250 m/s. Q-1013648 A 5. P110308 A person of mass M = 90 kg standing on a smooth horizontal plane of ice throws a body of mass m = 10 kg horizontally on the same surface. If the distance between the person and body after 10 seconds is 10 metres the K.E. of the person (in Joules) is (A) 0.45 (B) 4.5 (C) 0.90 (D) zero. Q-1013649 B 6. P110308 A bus is moving with a velocity of 10 m s-1 on a straight road. A scootorist wishes to overtake the bus in one minute. If the bus is at a distance of 1.2 km ahead, then the velocity with which he has to chase the bus is (A) 30 m s-1 (B) 25m s-1 (C) 60 m s-1 (D) 40 m s-1 Q-1013650 AFCT2024- WQ-05-PCM- 3 7. P110308 A man rides a bicycle with a speed of 17.32 m s-1 in east-west direction. If the rain falls vertically with a speed of 10 m s-1, the direction in which he must hold his umbrella is (A) 30° with the vertical towards east (B) 60° with the vertical towards west (C) 30° with the vertical towards west (D) 60° with the vertical towards east Q-1013651 B 8. P110310 A swimmer wants to cross a 200 m wide river which is flowing at a speed of 2 m/s. The velocity of the swimmer with respect to the river is 1 m/s. How far from the point directly opposite to the starting point does the swimmer reach the opposite bank? (A) 200 m (B) 400 m (C) 600 m (D) 800 m Q-1013652 B 9. P110310 Ship A is sailing towards north-east with velocity 𝑣 =30𝑖 + 50𝑗 km/hr where 𝑖 points east and 𝑗 north. Ship B is at a distance of 80 km east and 150 north of ship A and is sailing towards west at 10 km/hr. A will be at minimum distance from B in : (A) 4 × 2 hrs. (B) 2 ×2 hrs. (C) 3 × 2 hrs. (D) 2 × 6 hrs. Q-1013653 D 10. P110310 The speed of a swimmer in still water is 20 m/s. The speed of river water is 10 m/s and is flowing due east. If he is standing on the south bank and wishes to cross the river along the shortest path, the angle at which he should make his strokes w.r.t. north is given by : (A) 30° west (B) 0° (C) 60° west (D) 45° west Q-1013654 AFCT2024- WQ-05-PCM- 4 Part – B One or More Correct Answer Type This part contains 10 multiple choice questions. Each question has four choices (A), (B), (C) and (D) out of which ONE OR MORE CORRECT is correct For each question, you will be awarded 4 marks if you darken the bubble corresponding to the correct answer and zero mark if no bubbles are darkened. (-1) minus one will be awarded for incorrect answers in this section. 11. P110308 Two straight lines 𝑙1 and 𝑙2 cross each other at point P. The line


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