JEE Main DPYQ Full Syllabus PAPER-15 PDF

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Download Test Papers from PG Telegram Channel - https://t.me/physicsgalaxyworld FULL Test - 15 Section - A : MCQs with Single Option Correct 6. Find the mutual inductance in the arrangement, when a small circular loop of wire of radius ‘R’ is placed inside a large 1. An -particle, a proton and an electron have the same square loop of wire of side L (L >> R). The loops are coplanar kinetic energy. Which one of the following is correct in case of and their centres coincide : their De-Broglie wavelength : L 2 0 R 2 (A)  > p > e (B)  < p < e (A) M = L (C)  = p = e (D)  > p < e 2 20 R (B) M = 2. In a cuboid of dimension 2L × 2L × L, a charge q is placed L2 L R L O at the centre of the surface ‘S’ having area of 4L2. The flux 2 2 0 R 2 (C) M = through the opposite surface to ‘S’ is given by : L q q (A) (B) 20 R 120 30 (D) M = L q q L2 (C) (D) 2 0 6 0 7. When a beam of white light is allowed to pass through convex lens parallel to principal axis, the different colours of 3. Ratio of thermal energy released in two resistor R and 3R light converge at different point on the principle axis after connected in series in an electric circuit is : refraction. This is called : (A) 3 : 1 (B) 1 : 1 (A) Scattering (B) Chromatic aberration (C) 1 : 3 (D) 1 : 27 (C) Spherical aberration (D) Polarisation 20 8. The velocity time graph of a body moving in a straight line 4. A conducting loop of radius cm is placed perpendicular  is shown in figure. to a uniform magnetic field of 0.5T. The magnetic field is v(ms–1) decreased to zero in 0.5 s at a steady rate. The induced emf in the circular loop at 0.25s is : 8 (A) emf = 1 mV (B) emf = 10 mV 6 (C) emf = 100 mV (D) emf = 40 mV 4 2 5. The variation of stopping potential (V0) as a function of 0 time (s) 2 4 6 8 10 the frequency (v) of the incident light for a metal is shown in –2 figure. The work function of the surface is: –4 –6 Stopping Potential ( V 0 ) volt 3 The ratio of displacement to distance travelled by the body in time 0 to 8s is : 2 (A) 1 : 1 (B) 1 : 4 (C) 3 : 5 (D) 1 : 3 1 9. An object is projected at angle 60º to the horizontal. The v(× 1014 Hz) ratio of kinetic energy of the stone at point of projection to its 1 2 3 4 5 6 7 8 9 10 kinetic energy at the highest point of flight will be : (A) 18.6 eV (B) 2.98 eV (A) 1 : 2 (B) 1 : 4 (C) 2.07 eV (D) 1.36 eV (C) 4 : 1 (D) 4 : 3 Physics Galaxy Download link : Download Test Papers from PG Telegram Channel - https://t.me/physicsgalaxyworld 10. A cell of emf 270 V is connected across series combination 18. The threshold wavelength for photoelectric emission from of two resistors each of 100  resistance. A voltmeter of a material is 5500 Å. Photoelectrons will be emitted, when this resistance 400  is used to measure the potential difference material is illuminated with monochromatic radiation from a : across each resistor. The reading of the voltmeter will be : (a) 75 W infra-red lamp (b) 10 W infra-red lamp (A) 40 V (B) 45 V (c) 75 W ultra-violet lamp (d) 10 W ultra-violet lamp (C) 120 V (D) 90 V Choose the correct answer from the options given below : (A) (b) and (c) only (B) (a) and (d) only 11. A car is moving on a horizontal curved road with radius (C) (c) only (D) (c) and (d) only 50m. The approximate maximum speed of car will be, if friction between tyres and road is 0.512 [Take g = 10 ms–2] 19. A uniform metallic wire carries a current 1 A. When 3.4V (A) 3.4 ms–1 (B) 22.4 ms–1 battery is connected across it. The mass of uniform metallic (C) 13 ms –1 (D) 16 ms–1 wire is 8.92×10–3 kg. Density is 8.92 ×103 kg/m3 and resistivity is 1.7 × 10–8  – m. The length of wire is : 12. Two particles of equal mass ‘M’ move in a circle of radius (A) l = 14.1 m (B) l = 10 m ‘2r’ under the action of their mutual gravitational attraction. (C) l = 5 m (D) l = 100 m The speed of each particle will be : GM 4GM 20. Which of the following statement is correct in the case of (A) (B) light emitting diodes ? 2r r (a) It is a lightly doped p-n junction GM GM (C) (D) (b) It emits light only when it is forward biased 8r 4r (c) It emits light only when it is reverse biased (d) The energy of the light emitted is equal to or slightly less 13. Surface tension of a soap bubble is 2.0 × 10–2 Nm–1. Work done to increase the radius of soap bubble from 7 cm to 14 cm than the energy gap of the semiconductor used 22 (A) (b) and (d) (B) (a) and (b) will be : [Take  = ] (C) (d) (D) (b) 7 (A) 0.72 × 10–4 J (B) 5.76 × 10–3 J –3 Section- B: INTEGER Answer Type Questions (C) 51.7 × 10 J (D) 9.24 × 10–4 J 1. A rectangular block of mass 5 kg attached to a horizontal 14. The root mean square velocity of molecules of gas is : spiral spring executes simple harmonic motion of amplitude 1 m (A) Proportional to square of temperature (T2) and time period 3.14 s. The maximum force exerted by spring on 1 block is______ N. (B) Inversely proportional to square root of temperature T (C) Proportional to square root of temperature T 2. Two simple harmonic waves having equal amplitudes of (D) Proportional to temperature (T) 4 cm and equal frequency of 5 Hz are moving along the same direction. The resultant amplitude is also 4 cm. The phase 15. A tyre is filled with air having pressure of 270 kPa at 27ºC. difference between the individual waves is _____ degree. The approximate pressure of the air in the tyre when the temperature increases to 37ºC is : 3. The energy released per fission of nucleus of 240X is (A) 279 kPa (B) 262 kPa 200 MeV. The energy released if all the atoms in 60g of pure 240X undergo fission is _____ × 1025 MeV. (C) 278 kPa (D) 360 kPa (Given NA = 6 × 1023). 16. Two objects are projected with same velocity ‘u’ however at different angles  and  with the horizontal. If  +  = 90°, the 4. ICM is moment of inertia of a circular ratio of horizontal range of the second object to the first object disc about an axis (CM) passing through C A will be : its center and perpendicular to the plane (A) 4 : 1 (B) 2 : 1 of disc. IAB is it's moment of inertia about (C) 1 : 2 (D) 1 : 1 an axis AB perpendicular to plane and 1 R parallel to axis CM at a distance R from 17. For a periodic motion represented by the equation 3 Y = sin t + cos t. The amplitude of the motion is : center. Where R is the radius of the disc. 1 The ratio of IAB and ICM is x : 9. The value –R (A) 0.5 (B) 2 3 (C) 1 (D) 2 of x is_____. M B Physics Galaxy Download link : Download Test Papers from PG Telegram Channel - https://t.me/physicsgalaxyworld 5. A 0.4 kg mass takes 6 s to reach ground when dropped 9. A certain elastic conducting material is stretched into a from a certain height ‘P’ above surface of earth. The loss of circular loop. It is placed with its plane perpendicular to a potential energy in the last second of fall is _____ J. uniform magnetic field B = 0.8T. When released the radius of [Take g = 10 m/s2] 3 the loop starts shrinking at a constant rate of cm–1. The  6. A ball is dropped on to the floor from a height of 10 m. It induced emf in the loop at an instant when the radius of the rebounds to a height 5.0 m. Ball comes in contact with the floor n for 0.3s. The average acceleration during contact is _____ ms–2. loop is 10 cm will be mV then find ‘n’ 10 [Given g = 10 ms–2] 10. As shown in diagrams, three identical polaroids P1, P2 and 7. If 917 Å be the lowest wavelength of Lyman series then P3 are placed one after another. The pass axis of P2 and P3 are the lowest wavelength of Balmer series will be______Å. inclined at angle of 60º and 90º with respect to axis of P1. The W source S has an intensity of 256 2. The intensity of light at 8. A straight wire carrying a current of 14 A is bent into a m semicircular are of radius 2.2 cm as shown in the figure. The point O is _____ W. magnetic field produced by the current at the centre (O) of the m2 arc is______×10–4 T. z 60° S 90° O y x O P1 P2 P3 * * * * * Solutions & Benchmarking of Telegram Papers Download link of PG Mobile app https://bit.ly/PhysicsGalaxyApp Physics Galaxy Download link : Download Test Papers from PG Telegram Channel - https://t.me/physicsgalaxyworld FULL Test - 15 Section - A : MCQs with Single Option Correct 1. (B) 2. (D) 3. (C) 4. (D) 5. (C) 6. (C) 7. (B) 8. (C) 9. (C) 10. (C) 11. (D) 12. (C) 13. (C) 14. (C) 15. (A) 16. (D) 17. (B) 18. (D) 19. (A) 20. (A) Section- B: INTEGER Answer Type Questions 1. (20) 2. (120) 3. (3) 4. (11) 5. (220) 6. (80) 7. (3668) 8. (2) 9. (48) 10. 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