AS & A Level Physics - 9702 Paper 1 2013 Summer Zone 2

Which pair includes a vector quantity and a scalar quantity?

The unit of resistivity, expressed in terms of base units, is given by $kg \, x^3 \, y^{-2} \, z^{-3}$.
Which base units are x, y and z?
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Two forces act on a circular disc as shown.
Which diagram shows the line of action of the resultant force?

A student carried out an experiment in which an electric current was known to decrease with time. The readings he found, from first to last, were 3.62 mA, 2.81 mA, 1.13 mA, 1.76 mA and 0.90 mA.

Which statement could not explain the anomalous 1.13 mA reading?

The diagram shows a calibration curve for a thermistor, drawn with an unusual scale on the vertical axis.

What is the thermistor resistance corresponding to a temperature of 40°C? 

A skydiver falls vertically from a stationary balloon. She leaves the balloon at time $t = 0$. At time $t = T$, she reaches terminal velocity. Beyond the time shown in the graphs, she opens her parachute.

Which graph shows the variation with time $t$ of the force $F$ due to air resistance?

The diagram shows an arrangement to stop trains that are travelling too fast.

Trains coming from the left travel at a speed of 50 ms^-1. At marker 1, the driver must apply the brakes so that the train decelerates uniformly in order to pass marker 2 at no more than 10 ms^-1.

The train carries a detector that notes the times when the train passes each marker and will apply an emergency brake if the time between passing marker 1 and marker 2 is less than 20 s.

How far from marker 2 should marker 1 be placed?

A ball is released from rest above a horizontal surface and bounces several times. The graph shows how, for this ball, a quantity $y$ varies with time.

What is the quantity $y$? 

A strong wind of speed 33 m s$^{-1}$ blows against a wall. The density of the air is 1.2 kg m$^{-3}$. The wall has an area of 12 m$^2$ at right angles to the wind velocity. The air has its speed reduced to zero when it hits the wall.

What is the approximate force exerted by the air on the wall?

Two bodies travelling in a straight line collide in a perfectly elastic collision. Which of the following statements must be correct?

A submarine is in equilibrium in a fully submerged position.

What causes the upthrust on the submarine? 

A vehicle is at rest on a slope. It is considered to have three forces acting on it to keep it in equilibrium.

They are its weight $W$, a normal reaction force $R$ and a frictional force $F$.

Which triangle of forces is correct?

All external forces on a body cancel out. Which statement must be correct?

A uniform beam of mass 1.4 kg is pivoted at P as shown. The beam has a length of 0.60 m and P is 0.20 m from one end. Loads of 3.0 kg and 6.0 kg are suspended 0.35 m and 0.15 m from the pivot as shown.

What torque must be applied to the beam in order to maintain it in equilibrium? 

A ball is thrown vertically upwards.

Neglecting air resistance, which statement is correct?

A bow of mass 400 g shoots an arrow of mass 120 g vertically upwards. The potential energy stored in the bow just before release is 80 J. The system has an efficiency of 28%.

What is the height reached by the arrow when air resistance is neglected?

A train on a mountain railway is carrying 200 people of average mass 70 kg up a slope at an angle of 30\(^\circ\) to the horizontal and at a speed of 6.0 m s\(^{-1}\). The train itself has a mass of 80 000 kg. The percentage of the power from the engine which is used to raise the passengers and the train is 40%.

What is the power of the engine?

A gas is enclosed inside a cylinder which is fitted with a frictionless piston.

Initially, the gas has a volume $V_1$ and is in equilibrium with an external pressure $p$. The gas is then heated slowly so that it expands, pushing the piston back until the volume of the gas has increased to $V_2$.

How much work is done by the gas during this expansion? 

The diagram shows an ice cube floating in water.

Both the ice cube and the water are at 0°C.

Which statement correctly compares the molecular properties of the ice and those of the water? 

Two bulbs X and Y containing air at different pressures are connected by a tube P which contains two mercury threads.

The density of mercury is $13600\, \text{kg m}^{-3}$.

Which pair of values of $h_1$ and $h_2$ is possible? 

What is the unit of the Young modulus?

A rubber cord hangs from a rigid support. A weight attached to its lower end is gradually increased from zero, and then gradually reduced to zero.

The force-extension curve for contraction is below the force-extension curve for stretching. 

What does the shaded area between the curves represent?

The diagram shows a large crane on a construction site lifting a cube-shaped load.

A model is made of the crane, its load and the cable supporting the load. The material used for each part of the model is the same as that in the full-size crane, cable and load. The model is one tenth full-size in all linear dimensions.

What is the ratio $$\frac{\text{stress in the cable on the full-size crane}}{\text{stress in the cable on the model crane}}   ?  $$

The order of magnitude of the frequency of the shortest wavelength of visible light waves can be expressed as $10^x$ Hz.

What is the value of x?

The diagram shows two waves X and Y.

Wave X has amplitude 8 cm and frequency 100 Hz.

What are the amplitude and the frequency of wave Y? 

What is correct for all transverse waves?

A transmitter of electromagnetic waves is placed 45 cm from a reflective surface.

The emitted waves have a frequency of 1.00 GHz. A stationary wave is produced with a node at the transmitter and a node at the surface.

How many antinodes are in the space between the transmitter and the surface?

A teacher sets up the apparatus shown to demonstrate a two-slit interference pattern on the screen.

Which change to the apparatus will increase the fringe spacing?

Monochromatic light of wavelength $5.30 \times 10^{-7} \text{ m}$ is incident normally on a diffraction grating. The first order maximum is observed at an angle of $15.4^\circ$ to the direction of the incident light.

What is the angle between the first and second order diffraction maxima?

Two conducting layers of a liquid crystal display of a calculator are 8 μm apart. A 1.5V cell is connected across the conducting layers when the calculator is switched on.
What is the electric field strength between the layers?

A positively-charged particle is projected into a uniform electric field. Which diagram represents the path of the particle in the electric field?

A power cable has length 2000 m. The cable is made of twelve parallel strands of copper wire, each with diameter 0.51 mm.
What is the resistance of the cable? (resistivity of copper = 1.7 \times 10^{-8} \, \Omega \text{m})

A low-voltage supply with an e.m.f. of 20 V and an internal resistance of 1.5 Ω is used to supply power to a heater of resistance 6.5 Ω in a fish tank.
What is the power supplied to the water in the fish tank?

A filament lamp has a resistance of $80\,\Omega$ when the current in it is $500\,\text{mA}$.
What is the power transformed in the lamp?

Two wires P and Q made of the same material are connected to the same electrical supply. P has twice the length of Q and one-third of the diameter of Q, as shown in the diagram.

What is the ratio \( \frac{\text{current in P}}{\text{current in Q}} \)?

A 12 V battery is in series with an ammeter, a 2Ω fixed resistor and a 0–10Ω variable resistor. High-resistance voltmeters P and Q are connected across the variable resistor and the fixed resistor respectively, as shown.
The resistance of the variable resistor is changed from its maximum value to zero.
Which graph shows the variation with current of the voltmeter readings?

Five resistors are connected as shown. What is the total resistance between P and Q?

In the circuit below, the reading $V_T$ on the voltmeter changes from high to low as the temperature of the thermistor changes. The reading $V_L$ on the voltmeter changes from high to low as the level of light on the light-dependent resistor (LDR) changes.
The readings $V_T$ and $V_L$ are both high.
What are the conditions of temperature and light level?

What is the approximate mass of an alpha particle?

An actinium nucleus has a nucleon number of 227 and a proton number of 89. It decays to form a radium nucleus, emitting a beta particle and an alpha particle in the process.

What are the nucleon number and the proton number of this radium nucleus?

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