Paper 1 Practice Exam 1

Physics HL

Practice Exams

Paper 1 – Exam 1

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On Paper 1 questions, in addition to the correct answer (A, B, C or D), you will find:
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A detailed, step-by-step Video Solution to help you fully understand the concepts used when solving the question.
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Question 1

Two masses, X and Y, are 62\pm2 kg and 28\pm1 kg respectively. Which of the following has the largest fractional uncertainty?

 

  1. 2X + Y
  2. X – 2Y
  3. \frac{3Y}{X}
  4. 4XY
Answer

B.

Video Solution
Done Under 90

Question 2

A dog walks along a horizontal, straight road. The speed of the dog, v, varies with time, t as shown on the graph below.
What is the acceleration of the dog at t = 8 s and what is the distance travelled by the dog during the final four seconds of its motion?

Acceleration at t = 8 s

Distance travelled during final four seconds of motion

A. 0.5 m s^{-2} 4 m
B. 2.0 m s^{-2} 4 m
C. 0.5 m s^{-2} 16 m
D. 2.0 m s^{-2} 16 m
Answer

C.

Video Solution
Done Under 90

Question 3

A biker is traveling on a horizontal road in a straight line. She stops pedalling and allows the bike to come to rest.

Which free-body diagram correctly represents the forces acting on the biker from the moment she stops pedalling to the moment she comes to rest?

Answer

D.

Video Solution
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Question 4

A speedboat starts from rest and accelerates at 5.0 m s^{-2}. What is the velocity of the speedboat after it has travelled a distance of 10 m?

 

  1. 2.5 m s^{-1}
  2. 5.0 m s^{-1}
  3. 10 m s^{-1}
  4. 50 m s^{-1}
Answer

C.

Video Solution
Done Under 90

Question 5

A small object of mass M moves at constant speed v in a vertical circle on a string of length R. Point A is at the top of the circle.
What is the tension in the string at point B?

 

  1. M\left (\frac{v^{2}}{R}-\frac{\sqrt{3}}{2}g\right )
  2. M\left (\frac{v^{2}}{R}+\frac{\sqrt{3}}{2}g\right )
  3. M\left (\frac{v^{2}}{R}-\frac{1}{2}g\right )
  4. M\left (\frac{v^{2}}{R}+\frac{1}{2}g\right )
Answer

A.

Video Solution
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Question 6

Two spherical objects, X and Y, both of radius R are fired horizontally from a cliff on a planet that has no atmosphere. The objects have the same initial kinetic energy. The mass of X is M and the mass of Y is 2M.

What is true about the horizontal distance travelled by each object and the time taken for the objects to reach the ground?

Horizontal distance traveled by objects

Time taken by objects to reach the ground

A. Equal Equal
B. Different Different
C. Different Equal
D. Equal Different
Answer

C.

Video Solution
Done Under 90

Question 7

A container has 36 g of Carbon-12 and 120 g of Magnesium-24 atoms. The total number of atoms in this container is:

 

  1. 4.8 \times 10^{22}
  2. 4.8 \times 10^{23}
  3. 4.8 \times 10^{24}
  4. 4.8 \times 10^{25}
Answer

C.

Video Solution
Done Under 90

Question 8

A balloon and a glass jar both contain particles of the same ideal gas and are connected as shown. The tap connecting the balloon and the glass jar between A and B is closed. The pressure and the temperature in both the balloon and the glass jar are p and T respectively. The initial volume of the balloon is 8V and the volume of the glass jar is 4V.
When the tap is opened, the temperature of the gas particles does not change, while the pressure in both the balloon and the glass jar becomes 2p.

What is the new volume of the balloon?

 

 

  1. V
  2. 2V
  3. 4V
  4. 16V
Answer

B.

Video Solution
Done Under 90

Question 9

A thermally isolated tube contains only water molecules. The tube is cooled to the freezing point of water. While the water is changing phase:

 

  1. its temperature decreases.
  2. the mean potential energy of the water molecules decreases.
  3. the mean kinetic energy of the water molecules decreases.
  4. the mean thermal energy of the water molecules decreases.
Answer

B.

Video Solution
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Question 10

The distance between two adjacent nodes on a standing wave is 4 cm. What is the wavelength of the wave?

 

  1. 1 cm
  2. 2 cm
  3. 4 cm
  4. 8 cm
Answer

D.

Video Solution
Done Under 90

Question 11

Monochromatic green light is incident on a double slit and creates an interference pattern on a screen located at a distance a from the slits. The distance between the slits is d and the fringe spacing of the pattern is b.

What changes in and the colour of the light will definitely cause the value of b to decrease?

d

Colour of light

A. Decreases Red
B. Increases Red
C. Increases Violet
D. Decreases Violet
Answer

C.

Video Solution
Done Under 90

Question 12

A and B are two points along a standing wave. The distance between A and B is 375 m. The wavelength of the wave is 150 m. What is the phase difference between A and B?

 

  1. Zero
  2. \frac{\pi}{4}
  3. \frac{\pi}{2}
  4. \pi
Answer

D.

Video Solution
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Question 13

Two coherent waves, A and B, are generated at a distance of 1 km and 2 km respectively from a wave detector located at point M. The phase difference between the waves is zero and the wavelength of each wave is 500 m. The intensity due to Wave A at point M is I. The amplitude of wave B is four times the amplitude of wave A.

What is the resultant intensity at M?

 

  1. I
  2. 2I
  3. 3I
  4. 5I

 

Answer

D.

Video Solution
Done Under 90

Question 14

A proton is held at rest between two parallel, charged plates. The gravitational force acting on the proton is negligible.
In which direction will the proton move when released?

 

  1. Left
  2. Right
  3. Downwards
  4. Upwards
Answer

C.

Video Solution
Done Under 90

Question 15

Two resistors are connected to a cell. The emf of the cell is 20 V and the potential difference across the 4 \Omega resistor is 8 V.
What is the internal resistance of the cell?

 

  1. 2 \Omega
  2. 4 \Omega
  3. 6 \Omega
  4. 8 \Omega
Answer

B.

Video Solution
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Question 16

Wires X and Y are in the same plane, they are perpendicular and carry equal currents. The direction of the magnetic field due to the currents at point B is as shown on the diagram.
What is the direction of the electron flow in X and Y?

Direction of electron flow in X

Direction of electron flow in Y

A. To the right Upwards
B. To the right Downwards
C. To the left Upwards
D. To the left Downwards
Answer

A.

Video Solution
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Question 17

When the potential difference across a wire of length L is V, the power dissipated in the wire is P. When a potential difference of 4V is applied across a second, similar wire, the power dissipated in the second wire is 2P. What is the length of the second wire?

 

  1. 2L
  2. 8L
  3. 16L
  4. 32L
Answer

B.

Video Solution
Done Under 90

Question 18

Moon A has mass M, radius R and the gravitational field strength on the surface of Moon A is g. Moon B has mass 3M and the gravitational field strength on its surface is \frac{g}{4}.

What is the diameter of Moon B?

 

  1. 2\sqrt{3}R
  2. 4\sqrt{3}R
  3. 12R
  4. 24R
Answer

B.

Video Solution
Done Under 90

Question 19

The radius of a planet is R. A satellite, which orbits the planet at a distance R above the surface, has acceleration a and orbital period T. The satellite then is moved into an orbit at a distance of 3R from the surface of the planet.

What should be the new orbital period of the satellite in order for its acceleration to remain a?

 

  1. \sqrt{2}T
  2. 2T
  3. \sqrt{3}T
  4. 3T
Answer

A.

Video Solution
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Question 20

Nucleus A decays into nucleus B as shown in the equation:

A \rightarrow B + 2\alpha + 4\beta^{-}

Which of the following statements is not true about A and B?

 

  1. B is an isotope of A.
  2. The nucleon number of B is smaller than the nucleon number of A.
  3. B has the same number of protons as A.
  4. B has the same number of neutrons as A.
Answer

D.

Video Solution
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Question 21

The existence of atomic energy levels is supported by:

 

  1. evidence from emission and absorption spectra.
  2. the Rutherford-Geiger-Mardsen scattering experiment.
  3. observations related to the wave nature of light.
  4. the neutron-to-proton ratio of stable elements.
Answer

A.

Video Solution
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Question 22

The graph shows how the average binding energy per nucleon, A, varies with the atomic number, Z.
Which of the following statements are correct?

I. The most stable elements are found around the maximum point of the graph.

II. Larger Z means more energy is needed to disassemble the given nucleus

III. Total binding energy is proportional to the atomic number

 

  1. I and II only
  2. I and III only
  3. II and III only
  4. I, II and III
Answer

A.

Video Solution
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Question 23

The Sun emits 4 \times 10^{26} J of energy per second. Of this, approximately 1400 J is incident on one square meter of the top of the atmosphere. The atmosphere above a forest reflects 400 J of this energy and the rest reaches the forest. The amount of energy absorbed by the forest is 280 J.

What is the albedo of the forest?

 

  1. 0.20
  2. 0.28
  3. 0.70
  4. 0.72
Answer

D.

Video Solution
Done Under 90

Question 24

Control rods in a nuclear power plant:

 

  1. reduce the number of neutrons that are available for further fission.
  2. convey energy from the reactor to the turbines.
  3. slow down neutrons.
  4. contain the reactor core.
Answer

A.

Video Solution
Done Under 90

Question 25

Two photovoltaic panels, A and B, are in the shape of a circle. The radius of A is R and its efficiency is 30%. The radius of B is 2R and its efficiency is 10%.  Panel A is exposed to 6 hours of sunshine per day.

How many hours of sunshine should panel B be exposed to in order for the two panels to produce the same amount of energy per day?

 

  1. 4.5
  2. 6
  3. 9
  4. 10.5
Answer

A.

Video Solution
Done Under 90

Question 26

The grating spacing of a diffraction grating is 3 \mum. When it is illuminated with a parallel beam of monochromatic light, the angle between the zero order and the third order is 30^{o}.

Given that sin(30^{o}) = 0.5, what is the wavelength of the light?

 

  1. 700 nm
  2. 600 nm
  3. 500 nm
  4. 400 nm
Answer

C.

Video Solution
Done Under 90

Question 27

A mass m undergoes simple harmonic motion with amplitude A, angular speed \omega and total energy E. The amplitude is changed to \frac{A}{4} and the total energy is changed to \frac{E}{2}.

What is the new mass and the new angular speed?

Mass

Angular speed

A. m 8\omega
B. 2m 2\omega
C. m 4\omega
D. 4m \omega
Answer

B.

Video Solution
Done Under 90

Question 28

Monochromatic green light is incident on a single slit. After the light passes through the slit it reaches a screen and forms a diffraction pattern.

What changes to the width of the slit and to the colour of the light will definitely decrease the diffraction angle?

Width of the slit

Colour of the light

A. Increase Blue
B. Increase Red
C. Decrease Blue
D. Decrease Red
Answer

A.

Video Solution
Done Under 90

Question 29

A pendulum oscillates with simple harmonic motion (SHM). The length of the pendulum is 10 m and the gravitational acceleration is 10 m s^{-2}.

What is the period of the pendulum?

 

  1. \pi
  2. 2\pi
  3. 4\pi
  4. 8\pi
Answer

B.

Video Solution
Done Under 90

Question 30

A particle is falling at constant speed towards the surface of the Moon in an electric field. The Moon has no atmosphere. The electric equipotential surfaces are shown in the diagram below.
What is the particle?

 

  1. Alpha particle
  2. Electron neutrino
  3. Positron
  4. Muon
Answer

D.

Video Solution
Done Under 90

Question 31

The following diagram shows orbits A and B for a satellite around a planet.
Which of the following statements is correct?

 

  1. The speed of the satellite decreases when it moves from orbit A to orbit B.
  2. The total energy of the satellite is smaller in orbit A than in orbit B.
  3. The gravitational potential energy of the satellite is larger in orbit A than in orbit B.
  4. The gravitational potential energy of the satellite is zero when it is stationary on the surface of the planet.
Answer

C.

Video Solution
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Question 32

Two point charges are placed as shown on the diagram.
At which of the following points is the electric field strength zero?

 

  1. P
  2. Q
  3. R
  4. S
Answer

D.

Video Solution
Done Under 90

Question 33

The energy stored on a capacitor of capacitance 6.0 mF is 12 mJ. What is the potential difference across the capacitor?

 

  1. 2.0 mV
  2. 4.0 mV
  3. 2.0 V
  4. 4.0 V
Answer

C.

Video Solution
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Question 34

A variable resistor R is connected to a cell with emf V. Two copper coils are placed in the same plane as the circuit. Initially the resistance of R is zero.
What is the direction of the induced emf in the coils as the resistance of R is continuously increased?

Coil X

Coil Y

A. Clockwise Anti-clockwise
B. Anti-clockwise Clockwise
C. Anti-clockwise Anti-clockwise
D. Clockwise Clockwise
Answer

A.

Video Solution
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Question 35

The diagram shows how five capacitors, each of capacitance C are connected.
What is their combined capacitance?

 

  1. \frac{5C}{7}
  2. \frac{7C}{5}
  3. \frac{3C}{7}
  4. \frac{7C}{3}
Answer

A.

Video Solution
Done Under 90

Question 36

A square-shaped coil in a uniform magnetic field is flipped as shown on the diagram. The magnitude of the magnetic field is 0.2 T, the side length of the coil is 10 cm and the time it takes to flip the coil is 10 ms.
What is the magnitude of the induced emf in the coil?

 

  1. 0.2 V
  2. 0.4 V
  3. 2 V
  4. 4 V
Answer

B.

Video Solution
Done Under 90

Question 37

Yellow light is incident on a metal plate. The maximum kinetic energy of the emitted photoelectrons is E. What changes to the colour of the light and the work function of the metal plate will definitely lead to a decrease in E?

Colour of the light

Work function of the metal plate

A. Blue Decrease
B. Blue Increase
C. Red Decrease
D. Red Increase
Answer

D.

Video Solution
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Question 38

A neutron decays into a proton. Which diagram correctly shows this process?
Answer

A.

Video Solution
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Question 39

Which of the following provides evidence for the existence of electron antineutrinos?

 

  1. The energy levels in the atom
  2. The energy spectrum in \beta ^{-} decay
  3. Electron diffraction from crystals
  4. The Rutherford-Geiger-Mardsen scattering experiment
Answer

B.

Video Solution
Done Under 90

Question 40

A beam of electrons is incident on a thin metal sample. The beam is diffracted by an angle \theta. The de Broglie  wavelength of the electrons in the beam is 3.0 fm. Given that \theta = sin^{-1}\left ( \frac{1}{3} \right ), what is the nuclear radius of the nuclei in the metal sample?

 

  1. 4.5 \times 10^{-15} m
  2. 9.0 \times 10^{-15} m
  3. 4.5 \times 10^{-14} m
  4. 9.0 \times 10^{-14} m
Answer

A.

Video Solution
Done Under 90