This document contains 28 physics problems from an unsolved past paper for the IIT JEE exam from 2003. The problems cover topics in mechanics, thermodynamics, optics, electricity and magnetism, atomic and nuclear physics. For each problem there are 4 multiple choice answers and the document provides the question but not the solutions. The problems involve calculations related to forces, work, energy, waves, circuits, heat, momentum, and other core physics concepts.

1. IIT JEE –Past papers PHYSICS- UNSOLVED PAPER - 2003

3. Problem 02 A force F is applied to a block of mass as shown in the diagram. What should be the maximum value of force so that the block does not move? 10N 20N 30 N 40N

4. Problem 03 Two identical balls, each of mass mare connected by a rigid rod of length Lean impulse of perpendicular to the rod is applied at one end of this system at rest. The angular velocity produced in the system is a. b. c. d.

5. Problem 04 CUBE HAS A SIDE OF LENGTH 1.2 CM. Its volume would be a. b. c. d.

6. Problem 05 If represent the work done in moving a particle of mass m from the point A to the point B along three different paths in the gravitational field of a point mass M as shown in the figure. The work done will satisfy the relation a. b. c. d.

7. Problem 06 The figure represents the variation of temperature of two bodies X and Y having the same surface area with time due to the emission of radistion. Which of the following expressions is correct regarding the emissivity and absorptive powers of the two bodies? a. b. c. d.

8. Problem 07 In the figure, CP represents a wave-front and AO and BP are the corresponding two rays. The condition on for constructive interference at P between the ray BP and reflected ray OP is a. b. c. d.

9. 08 Problem Two rods, one of aluminum and the other made of steel, having initial lengths are connected together to form a single rod of length . If the length of each rod increases by the same amount on increasing the temperature by the ratio in terms of coefficient of linear expansions is given by a. b. c. d.

10. Problem 09 A wire of length 1m and area of cross section is suspended from the top of a roof at one end end a load of 20N is applied at the other end .If the length of the wire is increased by its Young’s modulus will be a. b. c. d.

11. Problem 10 A convex lens of focal length 40 cm forms an image of size 3 cm of an object at infinity .If a concave lens of focal length 20cm is introduced at a distance 35 cm from the convex lens, the size of image becomes 4 cm 5 cm 6 cm 8 cm

12. Problem 11 The electric potential between a proton and an electron is given by where is a constant .Assuming Bohr’s model to be applicable, what is the variation of with the principle quantum number n? a. b. c. d.

13. 12 Problem A ray of light is incident at the glass-water interface at an angle I,it emerges finally parallel to the surface of water.If the value of index of refraction of water is 4/3,what is the corresponding value of glass? 4/3 1

14. Problem 13 An ac source of emf is connected across a circuit consisting of either R-CorR-L orL-C in series.The phase difference between the emf e and the current in the is found to be . Which of the following values meet the requirement of the circuit? a. b. c. d.

15. Problem 14 For a positively charged particle moving in a x-y plane initially along the x-axis, there is a sudden change in its path due to the presence of electric and /or magnetic fields beyond P. The curve path is shown in x-y plane and is found to be nonlinear. Which of the following combinations is possible? a. b. c. d.

16. Problem 15 Which of the following circuits can be used to verify Ohm's law? a. b. c. d.

17. Problem 16 The PT diagram for an ideal gas is down in the figure where AC is an adiabatic process. The corresponding PV diagram is a. b. c. d.

18. 17 Problem A police car moving at 30 m/s chases a motorcyclist .The police man sounds his horn at 175 Hz while both of them move towards a stationary siren of frequency 165 Hz. Calculate the speed of the motorcycle, if it is given that he does not observe any beats. 24.5 m/s 25.5 m/s 26.5 m/s 27 m/s

19. Problem 18 For uranium nucleus, how does mass vary with volume? a. b. c. d.

20. Problem 19 A nucleus with mass number 220 initially at rest emits an -particle .If the Q value of the reaction is 5.5MeV,the kinetic energy of the -particle is 5.0 MeV 5.4 MeV 5.6 MeV 6.0 MeV

21. Problem 20 For a particle executing simple harmonic motion the displacement x is given by . Identify the graph which represents the variation of potential energy (PE) as a function of time and displacement a. b. c. d.

22. Problem 21 A particle undergoes uniform circular motion. About which point on the plane of the circle will the angular momentum of the particle remain conserved? inside the circle outside the circle centre of the circle on the circumference of the circle

23. Problem 22 A conducting loop carrying a current I is placed in a uniform magnetic field pointing into the plane of the paper as shown. The loop will have a tendency to contract expand move towards +ve x-axis move towards-ve x-axis

24. Problem 23 4 kg of ice at -20 is mixed with 10 kg of water at 20 in an insulating vessel having a negligible heat capacity. Calculate the final mass of water remaining in the container. Given: specific heat capacities of water and ice are , respectivley.Latent heat of fusion of ice 8 kg 10 kg 12 kg 14 kg

25. Problem 24 In the given figure corresponds to the null deflection in the galvanometer. What would be the value of x if the radius of the wire AB is doubled. a. b. c. d.

26. Problem 25 The three resistances of equal value are arranged in the different combinations shown in the figure. Arrange them in the increasing order of dissipation of power. a. b. c. d.

27. Problem 26 If the atom follows the Bohr model and the radius of is n times the Bohr radius, then the value of n is 1/4 4 50 100

28. Problem 27 In the experiment for the determination of the speed of sound in air using the resonance column method, the length of air column that resonates in the fundamental modes with a tuning fork is 0.2 m.On changing this length to 0.70 m,the same tuning fork resonates with the first ovetone.The end correction of the column is 0.02 m 0.03 m 0.04 m 0.05 m

29. Problem 28 A current carrying loop is placed in a uniform magnetic field in four different orientations .Arrange them in the decreasing order of potential energy a. b. c. d.

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