JEE Main 2025 DPYQ Test Series - Mechanics PDF

Download Test Papers from PG Telegram Channel - https://t.me/physicsgalaxyworld PART Test - 01 MECHANICS Section - A : MCQs with Single Option Correct (A) 1000 cm...

Download Test Papers from PG Telegram Channel - https://t.me/physicsgalaxyworld PART Test - 01 MECHANICS Section - A : MCQs with Single Option Correct (A) 1000 cm (B) 0.1 cm (C) 100 cm (D) 10 cm 1. A, B, C and D are four different physical quantities having different dimensions. None of them is dimensionless. But we 5. A bullet of mass 50 g has an initial speed of 1 ms–1, just know that the equation AD = C ln (BD) holds true. Then which before it starts penetrating a mud wall of thickness 19 cm. If the of the combination is not a meaningful quantity ? wall offers a mean resistance of 2.5 × 10–2 N, the speed of the [DPYQ From 2016] bullet after emerging from the other side of the wall is close to: C [DPYQ From 2019] (A) –C (B) A2 – B2C2 (A) 0.4 ms–1 (B) 0.1 ms–1 BD (3) 0.9 ms–1 (D) 0.7 ms–1 A (A  C) (C) –C (D) B D 6. A solid sphere of radius R gravitationally attracts a particle 2. A person climbs up a stalled escalator in 30 s. If standing placed at 2R from its centre with a force F1. Now a spherical on the same but escalator running with constant velocity he R cavity of radius   is made in the sphere (as shown in figure) takes 20 s. How much time is taken by the person to walk up the 2 moving escalator ? [DPYQ From 2014] and the force becomes F2. The value of F1 : F2 is : (A) 37 s (B) 27 s [DPYQ From 2021] (C) 24 s (D) 12 s 3. Two forces P and Q of magnitude 2F and 4F, respectively, are at an angle with each other. If the force Q is doubled, then B A their resultant also gets doubled. Then, the angle is : O R m [DPYQ From 2019] 2 M (A) cos –1   (B) 60º 8 (A) 25 : 36 (B) 50 : 41 3 (C) 41 : 50 (D) 9 : 7 (C) cos –1    (D) 120º  8 7. The density of a material in the shape of a cube is 4. Two blocks of masses 3 kg are connected by a metal wire determined by measuring three sides of the cube and its mass. going over a smooth pulley. The breaking stress of the metal is If the relative errors in measuring the mass and length are respectively 1.5% and 2%, the maximum error in determining 75 × 102 Nm–2. What is the minimum radius of the wire ? (take the density is : [DPYQ From 2018] 2 (A) 7.5% (B) 3.5% g = 10 ms–2) : [DPYQ From 2021] (C) 4.5% (D) 6% 8. Two blocks A and B of masses mA = 1 kg and mB = 3 kg are kept on the table as shown in figure. The coefficient of friction between A and B is 0.3 and between B and the surface of the table is also 0.3. The maximum force F that can be applied on B 3kg horizontally, so that the block A does not slide over the block B is : (Take g = 10 m/s2) : [DPYQ From 2019] 5kg Physics Galaxy Download link : Download Test Papers from PG Telegram Channel - https://t.me/physicsgalaxyworld (C) 3 m (D) 20 m A B F 13. A disc rotates about its axis of symmetry in a horizontal plane at a steady rate of 1.75 revolutions per second. A coin placed at a distance of 1 cm from the axis of rotation remains at rest on the disc. The coefficient of friction between the coin and the disc is: (g = 10 m/s2) [DPYQ From 2018] (A) 16 N (B) 40 N (A) 0.5 (B) 0.7 (C) 12 N (D) 24 N (C) 0.12 (D) 0.6 9. A rod of length 100 cm is pivoted at one end. It is raised 14. A body of mass 3 kg makes an elastic collision with a such that it makes an angle of 30° from the horizontal as shown second body at rest and continues to move in the original and released from rest. Its angular speed when it passes through direction but with one fourth of its original speed. What is the the horizontal (in rad s–1) will be: (g = 10 ms–2) mass of the second body ? [DPYQ From 2019] [DPYQ From 2019] (A) 1.8 kg (B) 1.2 kg (C) 1.5 kg (D) 2.0 kg 15. The stream of a river is flowing with a speed of 2 3 km/h. 30º A swimmer can swim at a speed of 4 km/h. What should be the direction of the swimmer with respect to the flow of the river to cross the river straight ? [DPYQ From 2019] 30 (A) 30 (B) (A) 60° (B) 150° 2 (C) 90° (D) 120° 30 20 (C) (D) 2 3 16. A body of mass 5 kg slide down with an acceleration of 2 m/s2 on a rough inclined plane having a slope of 30º. The 10. Let l, R, C and V represent inductance, resistance, external force required to take the same body up the plane with the same acceleration will be : (g = 10 m/s2) lCV capacitance and voltage, respectively. The dimension of [DPYQ From 2018] R (A) 50 N (B) 14 N in SI units will be : [DPYQ From 2019] (C) 6 N (D) 20 N (A) [LTA] (B) [LA–2] (C) [AT2] (D) [LT2] 17. A block of 500 g mass moves with a uniform speed in a l  horizontal circular groove, with vertical side walls of radius Sol. 10 R =T 80 cm. If the block takes 40 s to complete one round, the normal   and [CV] = AT force by the side walls of the groove is : [DPYQ From 2021] (A) 0.0314 N (B) 9.859 × 10–2 N  lCV    R  = T · AT = AT2 Ans. (C) (C) 9.859 × 10–3 N (D) 9.859 × 10–4 N   18. A man (mass = 60 kg) and his son (mass = 20 kg) are standing 11. An automobile, travelling at 40 km/h, can be stopped at a on a frictionless surface facing each other. The man pushes his distance of 40 m by applying brakes. If the same automobile is son so that he starts moving at a speed of 0.60 ms–1 with respect travelling at 60 km/h, the minimum stopping distance, in metres, to the man. The speed of the man with respect to the surface is: is: (Assume no skidding) [DPYQ From 2018] [DPYQ From 2019] (A) 75 m (B) 160 m (A) 0.20 ms–1 (B) 0.15 ms–1 (C) 100 m (D) 90 m (C) 0.47 ms–1 (D) 0.28 ms–1 12. A butterfly is flying with a velocity 4 2 m/s in North-East 19. A block of mass 10 kg is kept on a rough inclined plane as direction. Wind is slowly blowing at 1 m/s from North to South. shown in the figure. A force of 10 N is applied on the block. The The resultant displacement of the butterfly in 4 seconds is : coefficient of static friction between the plane and the block is [DPYQ From 2021] 0.6. What should be the minimum value of force P, such that the (A) 12 2 m (B) 15 m block does not move downward ? [Take g = 10 ms–2] Physics Galaxy Download link : Download Test Papers from PG Telegram Channel - https://t.me/physicsgalaxyworld [DPYQ From 2019] box not to topple before moving is ______. P [DPYQ From 2020] F k g 10 b 10N 45° (A) 32 N (B) 25 N (C) 23 N (D) 38 N 20. A block of mass 3.9 kg is at rest at the edge of a table, of 5. A person standing on a spring balance inside a stationary height 1 m. A bullet of mass 0.1 kg collides with the block and lift measures 50 kg. The weight of that person if the lift descends sticks to it. If the velocity of the bullet is 20 m/s in the horizontal with uniform downward acceleration of 1.8 m/s2 will be _____ N. direction just before the collision then the kinetic energy just [DPYQ From 2021] before the combined system strikes the floor, is: [Take g = 10 m/s2. Assume there is no rotational motion and loss of energy 6. A body of mass 2 kg is driven by an engine delivering a after the collision is negligible.] [DPYQ From 2020] constant power 1 J/s. The body starts from rest and moves in a (A) 21.0 J (B) 40.5 J straight line. After 81 seconds, the body has moved a distance (C) 19.0 J (D) 20.0 J (in m) _____. [DPYQ From 2020] 7. One end of a straight uniform 1 m long bar is pivoted on Section- B: INTEGER Answer Type Questions horizontal table. It is released from rest when it makes an angle 30º from the horizontal (see figure). Its angular speed when it hits 1. A uniform chain of length 3 meter and mass 6 kg overhangs the table is given as n s–1, where n is an integer. The value of a smooth table with 2 meter laying on the table. If k is the kinetic n is _____. [DPYQ From 2020] energy of the chain in joule as it completely slips off the table, then the value of k is _____. [DPYQ From 2021] 30º 2. A swimmer can swim with velocity of 12 km/h in still water. Water flowing in a river has velocity 6 3 km/h. The direction with respect to the direction of flow of river water he should swim in order to reach the point on the other bank just opposite 8. A person of 50 kg mass is standing on the rim of a circular to his starting point is _____º. (Round off to the Nearest Integer) platform of mass 200 kg rotating about its axis as 4 revolutions (find the angle in degree) [DPYQ From 2021] per minute (rpm). The person now starts moving towards the centre of the platform. What will be the rotational speed (in rpm) 3. A small block slides down from the top of hemisphere of of the platform when the person reaches its centre _____. radius R = 6 m as shown in the figure. The height h at which the [DPYQ From 2020] block will lose contact with the surface of the sphere is _____. (Assume there is no friction between the block and the 9. A bullet of mass 200 g is fired on a wooden block to pierce hemisphere) [DPYQ From 2021] through it, but it stops after moving a distance of 20 cm into it. If the velocity of bullet before hitting the wood is 10 m/s and it (R – h) slows down with uniform deceleration, then the magnitude of R A effective retarding force on the bullet is ‘x’ N. The value of ‘x’ to  h the nearest integer is _____. [DPYQ From 2021] O 10. A block starts moving up an inclined plane of inclination 30° with an initial velocity of v0. It comes back to its initial position 4. Consider a uniform cubical box of side a on a rough floor 0 with velocity. The value of the coefficient of kinetic friction that is to be moved by applying minimum possible force F at a 3 point b above its centre of mass (see figure). If the coefficient of n between the block and the inclined plane is close to. The b 10 3 friction is  = 0.5, the maximum possible value of 100 × for a value of ‘n’ _____. [DPYQ From 2020] a * * * * * Physics Galaxy Download link : Download Test Papers from PG Telegram Channel - https://t.me/physicsgalaxyworld Solutions of Telegram Papers Download link of PG Mobile app https://bit.ly/PhysicsGalaxyApp Physics Galaxy Download link :  PART Test - 01 MECHANICS Section - A : MCQs with Single Option Correct 1. (D) 2. (D) 3. (C) 4. (D) 5. (C) 6. (D) 7. (A) 8. (D) 9. (B) 10. (C) 11. (D) 12. (D) 13. (C) 14. (A) 15. (B) 16. (A) 17. (C) 18. (B) 19. (D) 20. (B) Section- B: INTEGER Answer Type Questions 1. (80) 2. (150) 3. (4) 4. (50) 5. (400) 6. (486) 7. (15) 8. (6) 9. (50) 10. 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