physics 2007

Welcome to your physics 2007

Constant Symbol Value
Acceleration due to gravity g 10m/s2
Permittivity of vacuum ε0 8.85 X 10-12cuoulomb
Charge of an electron e 6.67 x 10-11Nm2Kg2
Universal gravitational constant G 1000kg/m3
Density of water p 6.63 x 10-34J.S
Planck�s constant h 9.11 x 10-31Kg
Electron mass me 1.602 x 10-19C
Elementary (ubit) charge
Sin 30° = cos 60° = 0.5
Sin 37° = cos 53° = 0.6
Sin 45° = cos 45° = 0.707
Sin 53° = cos 37° = 0.8
Sin 60° = cos 30° = 0.866

1. 
Which one of the following experimental errors can be reduced by taking repeated measurements?

2. 
A teacher gave a student a book whose thickness is 4.30cm and instructed him to measure the thickness of the book with vernier Calliper. The student took four measurements with average value of 4.33cm each and a standard deviation of 0.04, respectively. Which one of the following is the uncertainty in the accuracy of the student�s measurement?

3. 

4. 
The magnitude of two vectors A and B are 12 units and 5 units, respectively. Which of the following is NOT the possible value for the magnitude of the resultant vector A + B ?

5. 
What is the vector product A x B of two vectors A = 7i + 4j 8k and B = 3i 2j + 5k

6. 
Which of the following statement is correct ?

7. 
A car travels along a straight line at a constant speed of 20m/s for a distance d and then another distance d in the same direction at a constant speed of 36 km/hr. what is the average speed for the entire trip?

8. 
If a long distance jumper athlete leaves the ground at an angle of 370 above the horizontal surface at a speed of 10.0m/s, how far does he jump in the horizontal direction?

9. 
Women is rotating a bucket of water in a vertical circle of radius 0.9m. The mass of bucket and water is 5kg. What is the bucket�s minimum speed at the top of circle if no water is to spill out?

10. 
A force of magnitude 20N is applied to a block of mass 2kg that lies on a rough, horizontal surface as shown in figure below. The coefficient of kinetic friction between the bock and surface is 0.4. What is the magnitude of the acceleration of the block?

11. 
A hard ball moving on a horizontal frictionless surface with a speed of 5m/s in the positive x direction strikes a stationary hard ball of the same mass. After the collision, the first ball moves with a speed of 4m/s along a direction that makes an angle of 0.37° with its initial direction of motion. What is the struck ball�s speed and the smallest angle between its direction of motion and the positive x axis after the collision?

12. 
A man standing on frictionless surface continuously fired 120 bullets horizontally in 1min using a machine gun. If each bullet has a mass of 10g and leaves the muzzle of the gun with a speed of 800m/s, what is the average force exerted by the gun on the man?

13. 
A highway curve is banked (inclined) in such a way that a car traveling at a speed of 13.5m/s can round the curve without skidding, in the absence of friction. If the banking angle is 300, what is the radius of the curve?

14. 
A car of mass 1500 kg is travelling at a uniform velocity of 30m/s due east. The driver applies the brakes to slow down the car to a velocity of 10m/s due east. What is the work done in slowing down the car?

15. 
Which one of the following statements is true about a spring mass system oscillation on a horizontal frictionless surface?

16. 
A block of mass 10kg is pulled up a rough inclined plane with a force of 100N parallel to the inclined plane. The inclined plane makes an angle of 370 with the horizontal. At the instant when the force is applied the block has a speed of 1.5m/s. if the coefficient of kinetic friction is 0.40, and the block is pulled up 5m, what is the change in the kinetic energy of the block?

17. 
The particles shown in figure below are connected by rectangular rigid nods of negligible mass. The origin of the xy plane is the center of the rectangle. The system rotates in the xy plane about the z axis with an angular speed of 6.00rad/s. what is the rotational kinetic energy of the system?

18. 
Two blocks are connected by a string of negligible mass passing over a pulley of radius r = 0.2 m and moment of inertia I as shown on figure below. The block on the horizontal frictionless surface is moving with a constant acceleration = 2.0m/s2. If the pulley axis is frictionless, the string is inextensible and does not slip on pulley, what should be the moment of inertial of the pulley?

19. 
An object with a mass of m = 3.0kg is attached to the free end of a light string wrapped around a pulley of radius R = 0.50m and moment of inertia I = 0.75kgm2. The pulley if free to rotate in a vertical plane about a fixed frictionless axis passing through its cernter as shown in figure. The suspended object is released from rest at 3.60m above the floor. What is the angular momentum of the pulley at the time when the object strikes the floor?

20. 
Which one of the following statements is not correct about a particle that is in equilibrium?

21. 
A uniform bar of length 2.0m and mass 30.0kg is supported by two massless ropes which are attached to a fixed horizontal bar, as shown in figure. What are the tensions in each rope when a 700N weight is suspended at d = 0.50m from the left end of the bar?

22. 
Which one of the following laws best describes the behaviour of elastic materials?

23. 
Two solid spheres made of gold and silver having equal masses are suspended by strings and fully submerged in a tank of water. Given that the density of gold is greater than that if silver, which one of the following statement is true?

24. 
The cross section areas of the small and large pistons of a hydraulic lift shown in figure are 4.0cm2 and 0.02m2, respectively. What is the magnitude of the force that must be applied to the small piston to lift a weight w = 15,000N placed on the larger piston?

25. 
An incompressible fluid flows through a horizontal pipe whose diameter varies along its length. The sum of the kinetic energy per unit volume and pressure of the fluid at different section of the pipe would________

26. 
The amount of heat required to raise the temperature of an object of mass m = 1Kg by 1 Kelvin is known as___________

27. 
A given weight of gas has a temperature of 27°C and volume V. Keeping the pressure constant, the volume is increased to 3V by varying the temperature. What is fine temperature of the gas?

28. 
The first law of thermodynamics takes the form dU = dW. This equation is valid fi the process is_______________

29. 
An ideal gas undergoes an isothermal process starting with a pressure of 2 x 105 pa and a volume of 6cm3. Which one of the following might be the pressure and volume of the final state?

30. 
Which one of the following is NOT correct?

31. 
The position of a particle moving with simple harmonic motion is given by an expression x =A cos (ωt + Φ), where A is the amplitude of the oscillatioin, t is time, ω is angular frequency, and Φ is the phase constant. If Φ = ℼ /2 , what will be the sign of the particle�s position and velocity at t=7T/8, were T is the period of oscillation?

32. 
If a long rope of uniform linear density is hung from a ceiling and waves are sent up the rope from its lower end, which one of the following is true about the speed of the ascending waves?

33. 
A given minimum point (trough) of a sinusoidal wave is traveling 480 cm long a rope in 12s. If the oscillator that generates the wave completes 48 vibrations in 30s, what is the wave length of the wave?

34. 
A wave traveling from a medium of index of refraction n1 toward a medium of index of refraction n2 undergoes partly transmission and partly reflection. If n2 is greater than n1 which one of the following statements is not correct?

35. 
In Youngs double slit experiment interference pattern which one of the following activities move the successive bright fringes farther apart?

36. 
Which one of the following statement is correct?

37. 
In a certain region of space, a uniform electric field is directed in the positive x direction. If a particle with negative charge is carried from x = 20cm to x = 60cm, what can we conclude about the electric potential and the electric potential energy of the charge-field system?

38. 
A parallel plate capacitor has a capacitance of 10μF. If the distance between the plates is doubled, keeping all other quantities constant, what is the new capacitance of the capacitor?

39. 
If several resistors are connected in parallel, the equivalent resistance is

40. 
In aluminium and copper wires with circular cross sections have equal length and equal resistance, then the ratio of the radius of aluminium to that of copper should be the same as that of the________

41. 
In the circuit shown below, what is the potential difference between point b and a?

42. 
Which of the following statements is correct about the effect and formation of field?

43. 
An electron moving at a speed of 1.5 x 107m/s enters a region of uniform magnetic field of magnitude 2 x 10-3T, direction perpendicular to the field. The path followed by the electron is circular. What is the radius of the circular path?

44. 
If a wire carrying current in the plane of this paper toward the top of the page experiences a magnetic force toward the right edge of the page, what will be the direction of the magnetic field causing this force?

45. 
A square flat loop of wire is placed in a uniform magnetic field that is in the y direction. The magnetic flux through the loop is a maximum if the plane of the loop is in the

46. 
Which one of the following actions increases the magnetic energy density in the interior of a very long current carrying solenoid?

47. 
Figure below shows a rectangular loop of wire of width L and resistance R. one end of the loop is in a uniform magnetic field of strength B directed perpendicular in to the plane of the page, the loop is pulled to the right at a constant speed v. what are the magnitude and direction of the induced current in the loop?

48. 
A series RLC circuit has a total impedance of 75.0Ω. If the resistance is R = 45.0Ω and the average power delivered to the circuit is P = 352.8 W, what is the root mean square value of the ac voltage source?

49. 
Which of the following phenomena most clearly demonstrates the wave nature of electrons?

50. 
When the radioactive element 144Nd60 decays to 140Ce58, which one of the following particles is emitted?

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