## IIT JEE Physics Test Paper 1

** IIT JEE Physics Test Paper 1 ** ** **

** Part – I (Physics)**

** Section-A (One option correct)**

This section contains 5 Single choice questions. For each correct choice 4 marks will be awarded. For

**wrong attempt 1 marks will be deducted**

**1. A particle is projected from a tower as shown in figure, then the distance from the foot of the tower where it will strike the group will be: (take g = 10 m/s²)**

(a) 4000/3 m (b) 5000/3 m (c) 2000/3 m (d) 3000/3 m

**02. The figure shows at time t = 0 second, a rectangular and triangular pulse on a uniform wire are**

** approaching each other. the pulse speed is 0.5 cm/s The resultant pulse at t = 2 second is**

**03. S1 and S2 are two coherent sources of sound of frequency 110 Hz**

** each. They have no initial phase difference. The intensity at a point P**

** due to S1 is I0 and due to S2 is 4I0. If the velocity of sound is 330 m/**

** s then the resultant intensity at P is**

(a) I0 (b) 9I0 (c) 3I0 (d) 8I0

**04. A diatomic ideal gas undergoes a thermodynamic change according to**

** the P-V diagram shown in the figure. The total heat given to the gas is**

** nearly:**

(a) 0 0 2.5P V (b) 0 0 1.4P V (c) 0 0 3.9P V (d) 0 0

**05. For the circuit shown in the figure, determine the charge of the capacitor in steady state.**

** Section-B (More than option correct)**

This section contains 15 Multiple choice questions. For each correct choice 5 marks will be awarded.

**For wrong attempt 1 marks will be deducted**

**06. If velocity of the particle is given by v =sqrt(x), where x denotes the position of the particle and initially ****particle was at x = 4, then which of the following are correct?**

(a) at t = 2 sec, the position of th particle is at x = 9.

(b) particle’s acceleration at t = 2 sec. is 1 m/s²

(c) Particle’s acceleration is 1/2 m/s² throughout the motion.

(d) Particle will never go in negative direction from it’s starting position.

**07. y-x curve at an instant for a wave travelling along x axis on a string is shown. Slope at the point A on ****the curve, as shown is 53º**

(a) Transverse velocity of the particle at apoint A is posive if the wave is travlling along positive x axis

(b) Transverse velocity of the particle at apoint A is posive if the wave is travlling along negative x axis

(c) Magnitude of transverse velocity of the particle at point A is grater than wave speed

(d) Magnitude of transverse velocity of the particle at point A is lesser than wave speed

**08. In a standing wave on string: **

(a) In one time period all the particles are simultaneously at rest twice

(b) All the particles must be at their positive extremes simultaneously once in one time period

(c) All the particles may be at their positive extremes simultaneously once in a time period.

(d) All the particles are never at rest simultaneously.

**09. Two identical stretched wires are vibrated together. They produced 8 beats per second. When tension in ****one wire is changed then the beat frequency is increased. If T1 and T2 denote the tensions in the two wires ****at any instant and T1 > T2 (initially) then how the change may be performed.**

(a) T1 decreased (b) T1 increased (c) T2 decreased (d) T2 increased

**10. Heat is supplied to a certain homogeneous sample of matter at a uniform rate. Its temperature is plotted ****against time as shown inf the figure. Which of the following conclusions can be drawn?**

(a) its specific heat capacity is grater in the solid state than in the liquid state.

(b) its specific heat capacity is grater in the liquid state than in the liquid state.

(c) its latent heat of vaporization is grater than its latent heat of fusion.

(d) its latent heat of vaporization is smaller than its latent heat of fusion.

**11. Pick the correct statements(s):**

(a) The rms translational speed for all ideal-gas molecules at the same temperature is not the same but it

depends on the molecular mass.

(b) Each particle in a gas has average translational kinetic energy and the equation

1/2 mv^2 rms = 3/2 KT

establishes the relationship between the average translational kinetic energy per particle and temperature

of an ideal gas. It can be concluded that single particle has a temperature.

(c) Temperature of an ideal gas is doubled from 100ºC to 200ºC. The average kinetic energy of each

particle is also doubled.

(d) It is possible for both the pressure and volume of a monoatomic ideal gas to change simultaneously

without causing the internal energy of the gas to change.

**12. During an experiment, an ideal gas is found to obey a condition ****P^2/rho = constant t[rho=density of the gas]. The gas is initially at temperature T, pressure P and density rho. The gas expands such that density changes to rho/2**

(a) The pressure of the gas changes to sqrt(2)P.

(b) The temperature of the gas changes to sqrt(2)T.

(c) The graph of the above process on the P-T diagram is parabola

(d) The graph of the above process on the P-T diagram is hyperbola

**13. Two concentric rings of radii R1=sqrt(6)m and R2 = 4m are placed in yz**

** plane with their centres at origin. They have uniform charge –q and**

** +Q = 2sqrt(2)q on the inner and out rings respectively. Consider the**

** electrostatic potential to be zero at infinity. Then**

(a) The electric potential is zero at origin.

(b) The electric field intensity is zero at r = 2m

(c) A positive charged particle disturbed from origin along the x-axis will restore back to origin.

(d) Where potential is maximum on the x-axis, field intensity is zero.

**14. A particle of mass 2Kg and charge 1mC is projected vertically with a velocity 10 m/sec. There is a uniform ****horizontal electric field of 104N/C.**

(a) the horizontal range of the particle is 10 m (b) the time of flight of the particle is 2s

(c) the maximum height reached is 5m (d) the horizontal range of the particle is 0.

**15. The diargam shows part of an evacuated tube in which a stream of electrons from an electron gun passes ****between a pair of parallel large deflecting plates. The vertical displacement of the electron beam as it leaves ****the parallel plates is x. (Do not consider gravity and the electron enters the deflecting region parallel to the ****plates)**

**Which one of A to D below will change the displacement x of the beam as it leaves the parallel plates**

(a) increasing the accelerating voltage

(b) increasing the deflecting voltage

(c) increasing the distance between the electron gun and the deflecting plates

(d) increasing the distance between the two deflecting plates

**16. The plates of a parallel plate capacitor with no dielectric are connected to a voltage source. Now a**

** dielectric of dielectric constant K is inserted to fill the whole space between the plates with voltage source ****remaining connected to the capacitor.**

(a) the energy stored in the capacitor will become K-times

(b) the electric field inside the capacitor will decrease K-time

(c) the force of attraction between the plates will become K²-times

(d) the charge on the capacitor will become K-times.

**17. In the circuit shown in the figure**

(a) power supplied by the battery is 200 watt

(b) current flowing in the circuit is 5A

(c) potential difference across 4 Ohm resistance is equal to the potential

difference across 6 Ohm resistance

(d) current in wire AB is zero

**18. In the figure a conductor of non-uniform cross-section is shown. A steady current I flows in it.**

(a) The electric field at A is more than at B

(b) The electric field at B is more than at A

(c) The thermal power generated at A is more than at B in an element

of small same width

(d) The thermal power generated at B is more than at A in an element of small same width

**19. In the figure shown: (All batteries are ideal)**

(a) current through 25 V cell is 20 A (b) current through 25 V cell is 12.5 A

(c) power supplied by 20 V cell is 20 W (d) power supplied by 20 V cell is –20 W

**20. AB is part of a circuit as shown, that absorbs energy at a rate of 50 W. E is an emf device that has no ****internal resistance.**

(a) Potential difference across AB is 48 V

(b) Emf of the device is 48 V

(c) Point B is connected to the positive terminal of E

(d) Rate of conversion from electrical to chemical energy is 48 W in device E.

** Section-C (Integer Type Question)**

**This Section contains 5 integer type questions. The answer to each question is a single digit integer**

** ranging from 0 to 9 (both inclusive).**

**21. A railway track runs parallel to a road until a turn brings the road to railway crossing. A cyclist rides along ****the road everyday at a constant speed 20 km/hr. He normally meets a train that travels in same direction at ****the corssing. One day he was late by 25 minutes and met the train 10 km before the railway crossing. Find ****the speed of the train (in km/hr).**

**22. A non-uniform string of mass 45 kg and length 1.5 m has a variable linear mass density given by μ = kx, where ****x is the distance from one end of the string and k is a constant. Tension in the string is 15 N which is uniform. find ****the time (in second) required for a pulse generated at one end of the string to travel to the other end.**

**23. A solid sphere of radius ‘R’ has a cavity of radius R/2 ****The solid part has a uniform charge density ‘rho’ and ****vacity has no charge. Find the electric potential at point ‘A’.rhoR/xE0 then x is**

**24. In the circuit diagram shown if the current through the 1 W resistor is (x/2)A**

** then x is**

**25. The efficiency of a cell when connected to a resistance R is 60%. What will be its efficiency (in%) if the ****external resistance is increased to six times.**