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

Which row shows an SI base quantity with its correct unit? [Table_1]

A pendulum bob is held stationary by a horizontal force $H$. The three forces acting on the bob are shown in the diagram. The tension in the string of the pendulum is $T$. The weight of the pendulum bob is $W$.
Which statement is correct?

The drag coefficient $C_d$ is a number with no units. It is used to compare the drag on different cars at different speeds. It is given by the equation
$$C_d = \frac{2F}{\rho v^n A}$$
where $F$ is the drag force on the car, $\rho$ is the density of the air, $A$ is the cross-sectional area of the car, and $v$ is the speed of the car.
What is the value of $n$?

A signal that repeats periodically is displayed on the screen of a cathode-ray oscilloscope.

The screen has 1 cm squares and the time base is set at 2.00 ms cm$^{-1}$.

What is the frequency of this periodic signal?  

A micrometer screw gauge is used to measure the diameter of a small uniform steel sphere. The micrometer reading is 5.00 mm ± 0.01 mm.

What will be the percentage uncertainty in a calculation of the volume of the sphere, using these values?

One object moves directly from P to R.

In a shorter time, a second object moves from P to Q to R.

Which statement about the two objects is correct for the journey from P to R?

The graph shows how velocity $v$ varies with time $t$ for a bungee jumper.

At which point is the bungee jumper momentarily at rest and at which point does she have zero acceleration? 

An aeroplane travels at an average speed of 600 km h$^{-1}$ on an outward flight and at 400 km h$^{-1}$ on the return flight over the same distance.

What is the average speed of the whole flight?

What is meant by the mass and by the weight of an object on the Earth?

An astronaut of mass $m$ in a spacecraft experiences a gravitational force $F = mg$ when stationary on the launchpad.

What is the gravitational force on the astronaut when the spacecraft is launched vertically upwards with an acceleration of $0.2g$?

A beam of $\alpha$-particles collides with a lead sheet. Each $\alpha$-particle in the beam has a mass of $6.6 \times 10^{-27} \text{ kg}$ and a speed of $1.5 \times 10^7 \text{ ms}^{-1}$.

\(5.0 \times 10^4\) $\alpha$-particles per second collide with an area of $1.0\text{cm}^2$ of lead. Almost all of the $\alpha$-particles are absorbed by the lead so that they have zero speed after collision.

What is an estimate of the average pressure exerted on the lead by the $\alpha$-particles?

An object in air is thrown upwards and towards the left. Which diagram shows the force(s) acting on the body when it is at its highest point?  

A particle is in a uniform field. The particle experiences a force in the opposite direction to the field.

 
Which field is the particle in, and on which property of the particle is the field acting?

An archer draws his bowstring back to position X. The bowstring and arrow are shown. The tension $T$ in the string is also shown. Then he draws the bowstring back further to position Y.

The resultant force on the arrow is greater when the arrow is released from position Y.
What is the increase in force?

A uniform metre rule of weight 2.0 N is pivoted at the 60 cm mark. A 4.0 N weight is suspended from one end, causing the rule to rotate about the pivot.

At the instant when the rule is horizontal, what is the resultant turning moment about the pivot? 

What is the internal energy of a system?

The diagram shows a barrel of weight $1.0 \times 10^3 \text{N}$ on a frictionless slope inclined at $30^{\circ}$ to the horizontal.

A force is applied to the barrel to move it up the slope at constant speed. The force is parallel to the slope.

What is the work done in moving the barrel a distance of $5.0 \text{m}$ up the slope? 

A car travelling on a level road at a steady $20 \, \text{m s}^{-1}$ against a constant resistive force develops a power of $40 \, \text{kW}$.

What is the magnitude of the resistive force?

A turbine at a hydroelectric power station is situated 30 m below the level of the surface of a large lake. The water passes through the turbine at a rate of $340 \text{ m}^3$ per minute.

The overall efficiency of the turbine and generator system is 90%.

What is the output power of the power station? (The density of water is $1000 \text{ kg m}^{-3}$.)

Below are four short paragraphs describing the molecules in a beaker of water at 50\(^{\circ}\)C.

Which paragraph correctly describes the molecules?

Which two substances are normally both crystalline?

Water in a bath varies in depth from 20.0 cm at the shallow end to 30.0 cm at the end with the plug.

The density of the water is 1000 kg m^-3.

What is the pressure of the water acting on the plug? 

Which properties best describe modelling clay?

A steel spring has a spring constant of 150 N m$^{-1}$. When a 25 N weight is hung from the spring, it has a stretched length of 55 cm.

What was the original length of the spring?

The diagram shows a sketch of a wave pattern, over a short period of time.

Which description of this wave is correct?

Which statement about a light wave and a sound wave is correct?

The sound from a loudspeaker placed above a tube causes resonance of the air in the tube.

A stationary wave is formed with two nodes and two antinodes as shown.

The speed of sound in air is 330 m s^-1.

What is the frequency of the sound? 

Light of wavelength $\lambda$ passes through a diffraction grating with slit spacing $d$. A series of lines is observed on a screen.

What is the angle $\alpha$ between the two first order lines?

A student connects two loudspeakers to a signal generator.

As the student walks from P to Q, he notices that the loudness of the sound rises and falls repeatedly. What causes the loudness of the sound to vary?

When plane-polarised light of amplitude $A$ is passed through a polarising filter as shown, the amplitude of the light emerging is $A \cos \theta$.

The intensity of the initial beam is $I$.

What is the intensity of the emerging light when $\theta$ is 60.0\degree?

Two vertical conducting plates X and Y are positioned so that they are separated by a distance of 6.0 mm in air. A 60 V d.c. supply is connected as shown.

What is the electric field strength at E, a point midway between the plates? 

Two parallel metal plates have a potential difference between them of 12V. The distance between the plates is 1.0 mm.

What are the electric field strength between the plates and the work done on a charge of +3.9 μC to move the charge from the negative plate to the positive plate? 

The diagram shows an electric circuit in which the resistance of the external resistor is $2R$ and the internal resistance of the source is $R$.

What is the ratio \( \frac{\text{power in external resistor}}{\text{power in internal resistance}} \)?

Two lamps are connected in series to a 250 V power supply. One lamp is rated 240 V, 60 W and the other is rated 10 V, 2.5 W.
Which statement most accurately describes what happens?

The wire of a heating element has resistance $R$. The wire breaks and is replaced by a different wire.
Data for the original wire and the replacement wire are shown in the table.

[Table_1]

What is the resistance of the replacement wire?

In the circuit below, P is a potentiometer of total resistance 10Ω and Q is a fixed resistor of resistance 10Ω. The battery has an electromotive force (e.m.f.) of 4.0V and negligible internal resistance. The voltmeter has a very high resistance.



The slider on the potentiometer is moved from X to Y and a graph of voltmeter reading V is plotted against slider position.
Which graph would be obtained?

A $2\,\Omega$ resistor and a $4\,\Omega$ resistor are connected to a cell.



Which graph shows how the potential $V$ varies with distance between $X$ and $Y$?

Four resistors of resistance $R$, $2R$, $3R$ and $4R$ are connected to form a network. A battery of negligible internal resistance and a voltmeter are connected to the resistor network as shown.
The voltmeter reading is 2 V.
What is the electromotive force (e.m.f.) of the battery?

When \( \alpha \)-particles are fired at a thin metal foil, most of the particles pass straight through but a few are deflected by a large angle.
Which change would increase the \textbf{proportion} of \( \alpha \)-particles deflected by a large angle?

Plutonium-239 $ (^{239}_{94} \text{Pu}) $ decays by emitting $ \alpha $-radiation.
Which nuclide is formed from one of these decay reactions? (The product nuclides are represented by X.)