Master Biology for NEET & Medical Entrance Exams
Q1. A particle is projected from ground with velocity 20 m/s at 30°. At a certain instant, its velocity makes 45° with horizontal. Neglect air resistance. Find the time after projection when this occurs (g = 10 m/s²).
Q2. The position of a particle moving along the x-axis is given by: x = t³ − 6t² + 9t , Determine the time(s) at which the velocity becomes zero and identify the nature of motion at those instants.
Q3. A block of mass 5 kg slides down a rough inclined plane inclined at an angle of 37°. The coefficient of friction is 0.25. Calculate its acceleration along the plane. (g = 10 m/s², sin37° = 0.6, cos37° = 0.8)
Q4. A satellite revolves very close to the surface of the Earth. If the mass of the Earth remains the same but its radius becomes four times, what will be the new orbital velocity compared to the original value?
Q5. A force vector F = (3i + 4j) N acts on a particle moving with velocity v = (2i − j) m/s. Calculate the instantaneous power delivered by the force.
Q6. A uniform circular ring of mass M and radius R rotates about an axis passing through its diameter. Determine its moment of inertia about this axis.
Q7. A particle is moving in uniform circular motion with constant speed 10 m/s. If the radius of the circle is 5 m, calculate the magnitude of centripetal acceleration acting on it.
Q8. A body of mass m is raised vertically through a height h slowly and then allowed to fall freely back to the starting point. Compare the work done by gravity during upward and downward motion.
Q9. A figure skater pulls her arms inward while spinning. Which physical quantity remains conserved and what change occurs in angular velocity?
Q10. A solid sphere rolls without slipping on a horizontal surface. Find the ratio of translational kinetic energy to total kinetic energy of the sphere.
Q11. One mole of an ideal gas expands isothermally at temperature T from volume V to 2V. Calculate the work done by the gas in terms of R and T.
Q12. At absolute zero temperature, the kinetic energy of molecules becomes zero according to classical theory. What limitation of classical theory does this highlight?
Q13. An ideal gas undergoes a cyclic process. The net heat supplied to the gas is equal to:
Q14. Two point charges +q and +4q are placed at a distance d apart. Find the position along the line joining them where the net electric field is zero.
Q15. A wire of resistance R is stretched to double its length, keeping its volume constant. Find the new resistance in terms of R.
Q16. In Young’s double slit experiment, the slit separation is doubled and the distance between the slits and the screen is halved. Determine the effect on fringe width.
Q17. In a photoelectric effect experiment, the stopping potential depends on the frequency of incident radiation. What happens if the intensity is increased while keeping the frequency constant?
Q18. A photon of wavelength 400 nm strikes a metal surface. Calculate the energy of the photon. (Given: h = 6.6 × 10⁻³⁴ J·s, c = 3 × 10⁸ m/s)
Q19. The half-life of a radioactive substance is 10 days. Calculate the time required for 75% decay of the original nuclei.
Q20. A convex lens forms an image at twice the focal length. Identify the object distance.
Q21. A body of mass 2 kg is moving with a velocity of 3 m/s. The velocity of the body is suddenly doubled by applying a constant force in the direction of motion. What will be the increase in kinetic energy of the body?
Q22. A 5 kg block is placed on a smooth horizontal surface. Two horizontal forces act on it simultaneously: 10 N towards east and 2 N towards west. What is the acceleration of the block considering resultant motion?
Q23. A constant force of magnitude 10 N is applied on a body which moves 2 m in a direction making an angle of 60° with the force. What is the work done by the force on the body?
Q24. A ball of mass 1 kg moving with a speed of 4 m/s strikes a rigid wall and rebounds with the same speed in the opposite direction. What is the magnitude of change in momentum of the ball?
Q25. Which of the following statements correctly explains why acceleration due to gravity does not depend on the mass of the falling object near Earth’s surface?
Q26. A particle is moving in a circle with constant speed. The force responsible for keeping the particle in circular motion always acts in which direction relative to velocity?
Q27. The time period of a simple pendulum is given by: T = 2π √(L / g) . The time period depends only on the length (L) of the pendulum and the acceleration due to gravity (g). Which of the following changes will NOT affect the time period of oscillation?
Q28. A gas is compressed slowly in a cylinder fitted with a frictionless piston. During compression, heat is supplied to the gas. Which fundamental principle governs this process?
Q29. A hot object is placed inside an evacuated chamber where no air or matter is present. In such a case, heat transfer from the object to the surroundings will occur only through which mode?
Q30. Two point charges are placed at a certain distance in air. If the distance between them is doubled, how does the electrostatic force between them change?
Q31. An electric field at a point in space is defined as the force experienced per unit positive test charge placed at that point. Which of the following correctly represents its SI unit?
Q32. According to Gauss’s law, the net electric flux through a closed surface depends only on the total charge enclosed within the surface and not on its shape. Which of the following is correct?
Q33. A parallel plate capacitor is connected to a battery. A dielectric slab is inserted completely between its plates. What happens to its capacitance?
Q34. A student studies different materials and finds that only some show a linear relationship between current and voltage. Which type of material obeys Ohm’s law?
Q35. The resistance of a wire depends on its length, cross-sectional area, and material. If the length is doubled and the area is halved, what happens to the resistance?
Q36. At any junction in an electrical circuit, the algebraic sum of currents entering and leaving the junction is zero. This law is based on the conservation of which physical quantity?
Q37. A charged particle enters a magnetic field with a velocity making different angles with the field. At which angle will the magnetic force be maximum?
Q38. Magnetic field lines represent the direction and strength of a magnetic field. Which of the following statements is correct regarding them?
Q39. In Young’s double slit experiment, constructive interference occurs at points where the path difference between two waves is an integer multiple of wavelength. Which condition is correct?
Q40. In photoelectric emission, electrons are emitted from a metal surface when light of sufficient frequency falls on it. Which factor determines the maximum kinetic energy of emitted electrons?
Q41. The Bohr model of hydrogen atom successfully explains which of the following phenomena?
Q42. Least count of a measuring instrument determines its smallest measurable value. Which of the following is most closely related to least count?
Q43. An emf is induced in a coil when the magnetic flux linked with it changes. Which factor directly determines the magnitude of the induced emf?
Q44. In a purely inductive AC circuit, the alternating current does not remain in phase with voltage. What is the phase relationship between current and voltage?
Q45. A NOT gate is a basic logic gate used in digital electronics. What is its primary function?