physics 2006

Welcome to your physics 2006

Constant Symbol Value
Acceleration due to gravity g 10m/s2
Permittivity of vacuum ε0 8.85 X 10-12F/m
Faraday�s constant F 96500Cml-1
Charge of an electron e 1.6 x 10-19Coulomb
Universal gravitational constant G 6.67 x 10-19Coulomb
Pi 3.14159
Density of water p 1000kg/m3
Atmospheric pressure P 101.3kPa
Planck�s constant h 6.63 x 10-34Js
Electron mass me 9.11 x 10-31
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/√2 = 0.707

1. 
The distance between two point charges is doubled. What will happen to the force of interaction between the charges?

2. 
What does the slope of a velocity time graph represent?

3. 
Moving 2.5 x 10-6 coulomb of charge from point A to point B in an electric field requires 6.3 x 10-4 joule of work. The potential difference between points A and B is approximately

4. 
A transverse sinusoidal wave is traveling on a string. Which statement is correct about a point on the string?

5. 
Two none zero vectors D and E have precisely equal magnitudes. For the magnitude of D + E to be 3 times larger than the magnitude of D - E, what must be the angle between D and E?

6. 
Which statement is correct about the pressure under a fluid in a container?

7. 
A capacitor made of parallel plates is charged by connecting it to a battery. The distance between the plates is much less than the surface area of each plate. After fully charged if the plates are disconnected from the battery and then pulled apart a little, what will happen to the total stored energy, the electric field, and the potential difference between the plates?

8. 
Which one of the following statements is true about the motion of a particle in a circular path?

9. 
Two rectangular loops of wire lie in the plane of this paper as shown in the figure below, if the current I in the outer loop is counter clockwise and increases with time, which one of the following statements is correct about the current induced in the inner loop?

10. 
Two men, A and B, are loading identical boxes onto a truck. A lifts his box staring up from the ground to the bed of the truck, whereas B slides his box up a rough ramp to the truck, which statement is correct about the change in the potential energy on the box earth system?

11. 
Two projectiles are fired from ground level at equal speed but different angles. One is fired at an angle of 30 degrees and the other at 60 degrees. The projectile to hit the ground first will be the one fired at (neglect air resistance)

12. 
A planet of mass m is circling a star in an elliptical orbital as shown below. Its velocity at point A is 60,000m/s and rb = 8ra what is its velocity at point B?

13. 
A small radio receiver uses a battery that delivers a constant current of 25mA for 3 hours. Calculate the total charge delivered by the battery.

14. 
A cup of coffee at a temperature of 80°C is placed on table in a 20°C room. What happens to the thermal energy and molecular motion of the coffee when it is left on the table?

15. 

16. 
A garden hose has and inside diameter of 16cm. the hose can fill a 10 litter bucket in 20 seconds. If the diameter of the nozzle is reduced to 8 cm

17. 
A mass suspended from the end of a spring vibrates up and down 20 times in 36s. What are the frequency and period of the vibration?

18. 
Determine the total impedance for the circuit shown below

19. 
A hoop of mass M and radius R is at rest at the top of an incline plane of height h. the hoop rolls down the plane without slipping. When the hoop reaches bottom, its angular momentum about its center of mass is:

20. 
What is the resistance of a copper cable if it has a cross sectional area of 1cm2 and a length of 2km? The resistivity of copper is 2 x 10-8Ωm.

21. 
When a load of 500kg is hanging from a steel wire of length 3m and cross sectional area 0.20cm2, the wire stretches beyond its no load length. If the Young�s modulus for the wire made of steel is Y = 2x 1011 Pa, what is the change in length of the wire beyond its no load length?

22. 
As shown in Figure below, two blocks are connected by a string of negligible mass passing over a pulley of radius r = 0.2m and moment of inertia I. The block on the frictionless incline is moving with a constant acceleration a = 2.0m/s2 up along the incline. What is the moment of inertia of the pulley?

23. 
A table tennis ball which is spherical in shape has a diameter of 6 cm and average density of 0.400 g/cm3. What force is required to hold it completely submerged under water?

24. 
A viewing screen is separated from a double slit by 4.80m. The distance between the two slits is 0.030mm. Monochromatic light is directed toward the double slit and forms and interference pattern on the screen. The first dark fringe is 4.50 cm from the center line on the screen. What is the wavelength of the light?

25. 
A horizontal pipe of 10cm in diameter has a smooth reduction to a pipe of 5cm in diameter. If the pressure of the water in the larger pipe is 80kPa and the pressure in the smaller pipe is 6kPa, at what rate does the water flow through the smaller pipe?

26. 
An aluminium block of mass m1 = 3kg and a copper block of mass m2 = 5kg are connected by a light string over a frictionless pulley. They sit on a steel surface as shown in figure below , where θ = 53°. The coefficient of kinetic friction between the steel surface and each block in 0.3. if the blocks are released from rest what is the tension T in the string?

27. 
An object of mass 3kg hangs from three light inextensible wires as shown in figure below. Two of the wires make angles θ1 = 53° and θ2 = 37 ° with the horizontal. If the system is in equilibrium, what will be the tensions T1 and T2 in the wires?

28. 
An object of mass m is hung from a spring and set into oscillation. The frequency of the oscillation is measured and recorded as f. if the object of mass m is replaced with an object of mass m is replaced with an object of mass 2m and set into oscillation, what will be the frequency of the motion?

29. 
A placekicker must kick a football from a point which is at a distance of 36.0 m from the goal. When kicked, the ball leaves the ground with a speed of 20.0m/s at an angle of 37° to the horizontal. If the ball hits the crossbar of the goal at a height h and bounces back what will be the height of the crossbar?

30. 
A body moving with constant acceleration covers the distance between two points 60m apart in 5s. Its velocity as it passes the second point is 15m/s. what is the acceleration?

31. 
Which of the following combinations of properties would be most desirable for a heat sink in a machine?

32. 
A 6V battery is connected across the primary coil of a transformer having 50 turns. If the secondary coil of the transformer has 100 turns, what voltage appears across the secondary?

33. 
The change in entropy is zero for:

34. 
Two particles with masses 2m and 3m are moving toward each other along the x axis with the same initial speed v. Particle 2m is traveling to the left, and particle 3m is traveling to the right. They undergo an elation glancing collision such that particle 2m is moving in the negative y direction after the collision. What are the x component of the final velocity of particle 3m and the kinetic energy of particle 2m, respectively?

35. 
Two separate coherent sources produce waves whose wavelengths are 0.10m. which statement is correct about points that are 3.2m away from one source?

36. 
A coil formed by wrapping 50 turns of wire in the shape of a square is positioned in a magnetic field so that the normal to the plane of the coil makes an angle 37° with the direction of the field. When the magnetic field is increased uniformly from 200 mT to 600mT in 4.00s, an emf of magnitude 160.0 mv is induced in the coil. What is the total length of the wire in the coil?

37. 
The half-life of radium 224 is 3.5 days. What fraction of the sample remains undecided after fourteen days? (if needed use ln2 = -ln(1/2) ≈ 0.693)

38. 
Two positive charges of magnitude q are each a distance d from the origin A of a coordinate system as shown below. The magnitude of the electric field is minimum at point

39. 
If the terminals of a battery with zero internal resistance are connected across two identical resistors in series, the total power delivered by the battery is 8 W. if the same is connected across the same resistors in parallel, what is the total power delivered by the battery?

40. 
Wire B has twice the length and twice the radius wire A. Both wires are made from the same material. If wire A has a resistance R, what is the resistance of wire B?

41. 
The sound level at a distance of 4.00m from a source is 120dB. At what distance is the sound level 100dB?

42. 
An ideal gas is at a temperature of 300k. if we wish to double the root mean square (rms) speed of the molecules of the gas, to what value must we raise its temperature?

43. 
Suppose that the index of refraction of a soap bubble film is 1.25, what is the minimum thickness of the soap-bubble film that results in constructive interference in the reflected light if the film is illuminated with light whose wavelength in free space is λ = 600nm?

44. 
A wire carries a steady current of 2.4A. A straight section of the wire is 0.75m long and lies in xy-plane along the x-axis within a uniform magnetic field, B=1.6kT. If the current is in the positive x direction, what is the magnetic force on the section of wire?

45. 
Two different capacitors of capacitance C1 = 2μF and C2 = 3μF are connected in series across a 120V supply line. The charged capacitors are disconnected from the line and from each other, and reconnected with terminals of like sign together. What will be the final charges on C1 and C2 respectively?

46. 
A glass flask whose volume is exactly 1,000cm3 at 0°C is totally filled with 1000cm3 of mercury at this temperature. When flask and mercury are heated to 100°C, 15.2cm3 of mercury overflow. If the coefficient of volume expansion of mercury is 1.82 x 10-4 per Celsius degree, what should be the coefficient of volume expansion of the glass?

47. 
A heat engine is being designed to have a Carnot efficiency of 65.0% when operating between two energy reservoirs. If the temperature of the cold reservoir is 20.0°C, what must be the temperature of the hot reservoir?

48. 
In Figure given below, the current in the 16Ω resistor is

49. 
10.0m uniform ladder weighing 200N rests against a frictionless wall. The ladder makes 53° angles with the horizontal, if the ladder is just on the verge of slipping when a 600.0N firefighter is 6.00m along the ladder from the bottom, what is the coefficient of static friction between the ladder and ground?

50. 
A block of mass 1.6kg is attached to a horizontal spring that has a force constant of 200N/m. The spring is compressed 2.0cm and is then released from rest. At what speed will the block pass through the equilibrium position if a constant friction force of 10.0N retards its motion from the moment it is released?

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