List of physical constants (to use for all questions of this test) 

Speed of sound in air: 340 m s^-1
Speed of light in a vacuum: 3.00×10⁸ m s^-1
Acceleration due to gravity: 9.80 m s^-2
Specific heat of water: 4.19×10³ J kg^-1 ºC^-1

An equation for the position, x, of an object at a time, t, is given by: x = bt ³ + ct ⁴, where b and c are two constants. The dimensions of b and c are, respectively:

T³, T⁴

1/T³, 1/T⁴

L/T³, L/T⁴

LT³, LT⁴

L²T³, L²T⁴

It takes light 1.28 s to travel from the Earth to the Moon. What is the Earth-Moon distance?

2.34×10⁸ m

2.34×10⁴ km

3.84×10⁸ m

3.48×10⁸ m

1.28×10⁴ km

Two planar vectors a and b are given by a = i – 2j and b = 3i + j, where i and j are perpendicular unit vectors. Then the dot (scalar) product of these two vectors is:

1.00 units

2.00 units

3.20 units

1.50 units

undetermined

A car accelerates at a constant rate from rest to a speed of 100 km/hr in 8.00 s. What is its speed after the first 5.00 s of the acceleration?

34.7 m s^-1

44.4 m s^-1

28.7 m s^-1

17.4 m s^-1

800 m s^-1

A car of initial speed 5.00 m s^-1 experiences a constant acceleration of 2.00 m s^-2. What is the car’s displacement during the first 6.00 s of its motion?

10.0 m

12.0 m

55.0 m

66.0 m

80.0 m

A rock is thrown vertically with an initial velocity of 24.5 m s^-1. What maximum height will the rock reach?

9.80 m

19.6 m

24.5 m

30.6 m

240 m

A car of mass 2.00×10³ kg moving at 30.0 m/s is suddenly decelerated by a constant force of 1.00×10⁴ N. How far does the car travel before stopping?

45.0 m

90.0 m

135 m

150 m

180 m

The mass of a simple pendulum is moved by an angle so that it is vertically displaced by a height of 1.00 m. The mass is then released from rest. What is the speed of the mass when it passes through the equilibrium position?

0 m s^-1

1.00 m s^-1

3.13 m s^-1

4.43 m s^-1

19.6 m s^-1

When the mass of a simple pendulum is multiplied by a factor of 2, the angular frequency of the pendulum is:

multiplied by 2

multiplied by 4

divided by 2

divided by 4

unchanged

A spring is compressed by 12.0 cm from equilibrium and the potential energy stored is 72.0 J. What is the spring constant?

6.00 N m^-1

864 N m^-1

1.20x10³ N m^-1

5.00x10³ N m^-1

1.00x10⁴ N m^-1

A piano string emits a sound wave of frequency 440 Hz. What is the wavelength of this sound wave?

0.773 m

6.82×10⁵ m

1.29 m

0.850 m

1.49×10⁵ m

A mass of 0.250 kg of hot water is initially at a temperature of 35ºC. How much energy is required to bring the water to its boiling point at 100ºC?

16.2 J

6.81×10⁴ J

6.81×10⁷ J

1.05×10⁵ J

8.61×10⁴ J

Consider the following resistances, where R₁ = 5 Ω, R₂ = 10 Ω and R₃ = 10 Ω.

What is the equivalent resistance between the points a and b?

5 Ω

10 Ω

25 Ω

105 Ω

0 Ω

Three devices are connected to a 240 V house circuit and draw a current of 1 A, 2 A, and 3 A, respectively. If all three devices are operated at the same time, what total power is used in the house circuit?

240 W

480 W

40 W

400 W

1,440 W

An ideal battery in a circuit creates a current of 2.00 A through a resistor of 2.00 Ω. If the battery is switched on for 10.0 minutes, how much energy is dissipated in the resistance?

4.80×10³ J

2.40×10³ J

8.00×10² J

4.00×10² J

8.00 J

A negatively charged particle (– Q) is moving to the right, directly above a wire having a current flowing to the right, as shown in the figure. In which direction is the magnetic force exerted on the particle?

into the page

out of the page

downward

upward

the magnetic force is zero

A capacitor of capacitance, C, initially charged to Q₀ is connected in parallel to two uncharged capacitors of capacitances C/2 and C/3. After the system reaches equilibrium, what is the total electrical energy stored in the system of capacitors?

Q₀²/2C

5Q₀²/6C

3Q₀²/11C

6Q₀²/11C

Q₀²/C

In the diagram shown below, a ray of monochromatic light travels from a material X with refractive index n₁ = 1.63 to a material Y with refractive index n₂ = 1.57 and grazes the interface with a material Z of an unknown index of refraction n₃ at 90 º. If the angle of incidence of the ray is θ₁ = 32.1º, what is the unknown index of refraction n₃ of the material Z?

1.23

1.94

1.54

1.75

1.31

A battery of e.m.f equal to 6.80 V and internal resistance, r, is connected in series to a 2.90 Ω resistor. The power dissipated across this resistor is 12.9 W. The internal resistance r of the battery is approximately:

1.12 Ω

0.324 Ω

1.94 Ω

1.69 Ω

0.180 Ω

A pendulum of length l and mass m undergoes simple harmonic motion. At an angle θ, the instantaneous speed is v. Which equation represents the tension, T, on the mass?

mg cosθ

m(gcosθ − (v²/l))

mg sinθ

m(gsinθ − (v²/l))

m(gcosθ + (v²/l))

If the net torque on an object is zero then :

the forces on it also add up to zero

the object could be accelerating linearly but cannot be turning

the object cannot be turning and cannot be accelerating

the object could be accelerating linearly and it could be turning

the object is at rest

In a particular nuclear reaction, electrons and alpha particles are emitted with electrons having twice the speed, v, of alpha particles. An alpha particle is made of two neutrons and two protons. It is known that m_proton ≈ m_neutron ≈ 1,836 m_electron. Then the ratio of the de Broglie wavelength of an electron over the wavelength of an alpha particle is most closely equal to:

6,344

4,366

7,344

3,672

11,016

Monochromatic light of wavelength λ = 400 nm (1 nm = 10^-9 m) passes through a double slit and the diffraction pattern is observed on a far screen from the slits. If the distance, d, between the slits is 0.150 mm, what is the approximate angle of the third order maximum (bright fringe) that is observed on the screen?

0.458º

0.225º

0.115º

0.201º

0.405º

It takes a certain radioactive substance 3.00 hours to decay to 1/5 of its initial quantity. What is its half-life?

1.29 hours

1.25 hours

2.11 hours

3.22 hours

4.13 hours

An object of initial speed v = 13.2 ms^-1 decelerates uniformly on a horizontal plane. The coefficient of kinetic friction between the two surfaces is 0.360. What approximate distance will the object travel until it comes to rest?

26.3 m

49.4 m

19.5 m

32.9 m

24.7 m

Two springs of constants k₁ = 40.0 N/m and k₂ = 20.0 N/m are connected in parallel as shown in the diagram. What approximate extension, x, is required by the force F if the system of springs is to store elastic potential energy equal to 3.36 J?

                                                

0.923 m

0.335 m

0.622 m

0.434 m

0.526 m

An object rotates at a constant speed v = 6π ms^-1 in a horizontal circle of radius 3.00 m. If the centripetal force acting on the object is 3π²/9 N, what is its angular momentum in terms of π?

3π kgm²s^-1

2π kgm²s^-1

π/2 kgm²s^-1

π/3 kgm²s^-1

π kgm²s^-1

A mass moves under the influence of a conservative force along an open path S. At some point along this path the potential energy, U of the mass equals 3 times its kinetic energy K. At a different point the difference between U and K equals 40 J. What is the Mechanical Energy of the mass?

20 J

60 J

40 J

80 J

100 J

A 2.30-kg object travelling at 6.80 m s^-1 to the right collides head-on with a 4.50-kg object travelling to the left at 2.60 m s^-1. If the masses stick together after the collision, and move to the right, what is their common speed?

0.412 ms^-1 

0.579 ms^-1 

0.687 ms^-1

0.787 ms^-1

0.839 ms^-1

A particle has a mass to charge ratio m/q, equal to 200 kg/C and enters a uniform magnetic field of magnitude B = 4.00 T, with a velocity v perpendicular to the field lines. The period of rotation, T, of the particle inside the magnetic field is:

40 π s

200 π s

100 π s

40 π/3 s

300 π s