AS & A Level Physics - 9702 Paper 1 2013 Summer Zone 3

The diagram shows a displacement vector.

What is the vertical component of this displacement vector?

What is the unit of power, expressed in SI base units?

Which statement is \textit{incorrect} by a factor of 100 or more?

A cyclist is travelling due south with velocity $u$. The wind is blowing from the north-east with velocity $w$.



The wind has a velocity $v$ relative to the cyclist, where $v = w - u$.
Which vector diagram shows the magnitude and direction of velocity $v$?

A student takes measurements of the current in a resistor of constant resistance and the potential difference (p.d.) across it. The readings are then used to plot a graph of current against p.d.

There is a systematic error in the current readings.

How could this be identified from the graph?

The diagram shows the stem of a Celsius thermometer, marked to show initial and final temperature values.

What is the temperature change expressed to an appropriate number of significant figures?

A double-ended launching device fires two identical steel balls X and Y at exactly the same time. The diagram shows the initial velocities of the balls. They are both launched horizontally, but Y has greater speed.

Which statement explains what an observer would see? 

At time $t = 0$, a body moves from rest with constant acceleration in a straight line. At time $t$, the body is distance $s$ from its rest position.

A graph is drawn of $s$ against $t^2$, as shown.

Which statement describes the acceleration of the body? 

A lift (elevator) consists of a passenger car supported by a cable which runs over a light, frictionless pulley to a balancing weight. The balancing weight falls as the passenger car rises.

Some masses are shown in the table.

What is the magnitude of the acceleration of the car when carrying just one passenger and when the pulley is free to rotate? 

A stationary nucleus has nucleon number $A$.

The nucleus decays by emitting a proton with speed $v$ to form a new nucleus with speed $u$. The new nucleus and the proton move away from one another in opposite directions.

Which equation gives $v$ in terms of $A$ and $u$?

Two spheres travel along the same line with velocities $u_1$ and $u_2$. They collide and after collision their velocities are $v_1$ and $v_2$.

Which collision is not elastic?

The diagrams show a negative electric charge situated in a uniform electric field and a mass situated in a uniform gravitational field.

Which row shows the directions of the forces acting on the charge and on the mass? 

A wooden block rests on a rough board. The end of the board is then raised until the block slides down the plane of the board at constant velocity v.

Which row describes the forces acting on the block when sliding with constant velocity? 

A ball of mass $m$ is thrown up to height $h$ in air with an initial velocity $v$, as shown.

Air resistance is considered negligible. The acceleration of free fall is $g$.

What is the total work done by the gravitational force on the ball during its flight from P to Q?

A spring of unextended length 40 mm is suspended from a fixed point. A load of 16 N is applied to the free end of the spring. This causes the spring to extend so that its final length is five times its original length. The spring obeys Hooke's Law.

What is the energy stored in the spring due to this extension?

The diagram shows an arrangement used to find the output power of an electric motor.

The wheel attached to the motor’s axle has a circumference of 0.5 m and the belt which passes over it is stationary when the weights have the values shown.

If the wheel is making 20 revolutions per second, what is the output power of the motor? 

Ice at a temperature of 0°C is a rare example of a solid that floats on its liquid form, in this case water, when they are both at the same temperature. What is the explanation for this?

The formula for hydrostatic pressure is $p = \rho gh$.

Which equation, or principle of physics, is used in the derivation of this formula?

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 \( \frac{\text{extension of the cable on the full-size crane}}{\text{extension of the cable on the model crane}} \)?

Which graph represents the force-extension relationship of a rubber band that is stretched almost to its breaking point?

A spring is stretched over a range within which elastic deformation occurs. Its spring constant is $3.0\, \text{N cm}^{-1}$.

Which row, for the stated applied force, gives the correct extension and strain energy?

Which statement about different types of electromagnetic wave is correct?

Orange light has a wavelength of 600 nm.

What is the frequency of this light?

Electromagnetic waves of wavelength $\lambda$ and frequency $f$ travel at speed $c$ in a vacuum. What describes the wavelength and speed of electromagnetic waves of frequency $f/2$?

When the liquid crystal display of a calculator is observed through a polarising film, the display changes as the film is rotated.

Which property describes the radiation from the calculator display?

A sound wave has displacement $y$ at distance $x$ from its source at time $t$.

Which graph correctly shows the amplitude $a$ and the wavelength $\lambda$ of the wave?

A parallel beam of red light of wavelength 700 nm is incident normally on a diffraction grating that has 400 lines per millimetre.

What is the total number of transmitted maxima?

The diagram shows a standing wave on a string. The standing wave has three nodes $N_1$, $N_2$, and $N_3$.

Which statement is correct?

Two metal plates are held horizontal and parallel, 5.0 cm apart. The plates are at potentials of +100 V and +20 V.

What is the force experienced by an electron in the electric field between the plates? 

The diagram shows the path of a charged particle through a uniform electric field, having vertical field lines.

What could give a path of this shape? 

Two cells X and Y are connected in series with a resistor of resistance 9.0\,\Omega, as shown.

Cell X has an electromotive force (e.m.f.) of 1.0\,\text{V} and an internal resistance of 1.0\,\Omega. Cell Y has an e.m.f. of 2.0\,\text{V} and an internal resistance of 2.0\,\Omega.
What is the current in the circuit?

The circular cross-sectional area of a metal wire varies along its length. There is a current in the wire. The narrow end of the wire is at a reference potential of zero.
Which graph best represents the variation with distance $x$ along the wire of the potential difference $V$ relative to the reference zero?

The graph shows how current $I$ varies with voltage $V$ for a filament lamp.
Since the graph is not a straight line, the resistance of the lamp varies with $V$.
Which row gives the correct resistance at the stated value of $V$? [Table_1]

An electric power cable consists of six copper wires c surrounding a steel core s.
A length of 1.0 km of one of the copper wires has a resistance of 10 \(\Omega \) and 1.0 km of the steel core has a resistance of 100 \(\Omega \).
What is the approximate resistance of a 1.0 km length of the power cable?

The diagram shows a length of track from a model railway connected to a battery, a resistor and a relay coil.
With no train present, there is a current in the relay coil which operates a switch to turn on a light.
When a train occupies the section of track, most of the current flows through the wheels and axles of the train in preference to the relay coil. The switch in the relay turns off the light.
Why is a resistor placed between the battery and the track?

A 12V battery is in series with an ammeter, a $2\Omega$ fixed resistor and a $0-10\Omega$ variable resistor. A high-resistance voltmeter is connected across the fixed resistor.
The resistance of the variable resistor is changed from zero to its maximum value.
Which graph shows how the potential difference (p.d.) measured by the voltmeter varies with the current measured by the ammeter?

In the circuit shown, the battery and ammeter each have negligible resistance.
The following combinations of resistors are placed in turn between the terminals X and Y of the circuit.
Which combination would give an ammeter reading of 8A?

Scientists investigating the count rate from a radioactive source observed that the count rate fluctuates.
What do these fluctuations imply about the nature of radioactive decay?

The decay of a nucleus of neptunium is accompanied by the emission of a $\beta$-particle and $\gamma$-radiation. What effect (if any) does this decay have on the proton number and on the nucleon number of the nucleus? [Table_1]

A radioactive nucleus is formed by $\beta$-decay. This nucleus then decays by $\alpha$-emission.
Which graph of nucleon number $N$ plotted against proton number $Z$ shows the $\beta$-decay followed by the $\alpha$-emission?