Physics Paper 1 June 2003

In a perfectly elastic collision, which statement correctly describes momentum and energy conservation?

Three equal forces F acting at a point are in equilibrium. Which diagram correctly represents these forces?

A 2.0m long uniform rod of mass 1.0kg is pivoted at point P and it is in equilibrium under the forces acting on it as shown in the diagram (a force F at 60 degrees to the rod acting 50cm from the left end, the pivot P just right of that, and a 20N weight hanging from the right end). What is the value of force F?

A particle moves in a horizontal circle at a constant speed. If the mass is halved, the angular speed doubled and the radius unchanged, what happens to the centripetal force?

The distance between the centre of the Earth and a communications satellite is 42 000km. What is the gravitational force between the satellite and the earth? (Mass of Earth $= 6.0 \times 10^{24}$kg, Mass of satellite $= 50$kg).

Two planets, $X$ and $Y$ have masses $M_x$ and $M_y$ and radii of $r_x$ and $r_y$ respectively. The free fall acceleration on the surfaces of both planets is the same. Deduce the value of $\frac{M_x r_y^2}{M_y r_x^2}$ from the given information.

A source at O produces a sound wave of frequency 660 Hz which propagates along OX. Vibrating air particles, P and Q, are 25cm apart on OX as shown. What is the phase difference between P and Q? (Velocity of sound in air is 330 ms^-1)

Which effect provides direct experimental evidence that light is a transverse wave?

Which of the following statements is true about stationary waves?

When a monochromatic light of wavelength 5 x 10^-7 m is incident normally on a diffraction grating, second-order diffraction lines are formed at angles of 30 degrees to the normal. What is the number of lines per millimetre of the grating?

Nine resistors are connected as shown in the diagram (a fan-shaped resistor network between X and Y made of alternating 3Ω and 6Ω resistors). What is the effective resistance between X and Y?

Two resistors of resistances 5Ω and 15Ω are connected in parallel as shown in the diagram. The 5Ω resistor produces 30W. What is the power produced by the 15Ω resistor?

The diagram shows two resistors of resistance 5000Ω and 2500Ω connected in series. A potential difference of 120V is maintained across them. The potential difference across the 5000Ω resistor is measured using a voltmeter of internal resistance 5000Ω. What is the reading of the voltmeter?

The diagram shows a uniform resistance wire MN of length 100.0cm which is connected to a standard cell of e.m.f. 1.5V and of negligible internal resistance. The circuit is completed with a cell of e.m.f. E, a sensitive galvanometer and a slider P, as shown. When no current flows through the galvanometer, what is the value of E?

A 2.0μF capacitor charged initially by a 30V source is disconnected from the source and then connected to an uncharged 1.0μF capacitor. What is the final potential difference across the capacitors?

The charge on a uranium nucleus is 1.5 x 10^-17 C and that on an alpha-particle is 3.2 x 10^-19 C. What is the electrostatic force between a uranium nucleus and an alpha-particle separated by 1.0 x 10^-13 m?

A particle of charge q with velocity V enters perpendicularly to a magnetic field of flux density B as shown. If the particle moves in a circular path of radius R, what is the mass of the particle?

A sinusoidal alternating voltage V produced by a generator is given by the expression V = 140sin400t. What are the approximate frequency and the r.m.s. voltage values?

A container with a liquid of density ρ, experiences a free fall as shown. The atmospheric pressure is H. Assuming the air friction to be negligible, what is the pressure at point P (a depth h below the liquid surface)?

Three rods with same dimensions were stretched and the load-extension curves drawn as shown (labelled X, Y and Z). What are X, Y and Z?

Internal energy of a system is the

A mass of an ideal gas of volume V at pressure P undergoes the cycle of changes L->M->N->L shown in the P-V graph (L at high pressure/low volume, M at low pressure/low volume, N at low pressure/higher volume). At which points is the gas coolest and hottest?

The average speed of molecules of a certain gas at 100 degrees C is 600ms^-1. Which of the following would change the average speed to approximately 1200ms^-1?

An ice cube whose mass is 50g is taken from a fridge at -10 degrees C and dropped into a glass of water at 0 degrees C. In the process no heat is gained or lost from the outside. Given that latent heat of fusion of water is 333 000 Jkg^-1 and specific heat capacity of ice is 2100 Jkg^-1K^-1, what mass of ice would form on the cube?

When a clean metal in a vacuum is irradiated with monochromatic ultra-violet radiation, electrons are emitted. Which of the following will double if the intensity of the ultra-violet radiation is doubled?

Transitions between three energy levels in a particular atom give rise to three spectral lines of wavelengths λ1, λ2 and λ3, in order of increasing magnitude. Which of the following equations correctly relates λ1, λ2 and λ3?

The half-life of a certain radioactive element is such that 7/8 of a given quantity decays in 12 days. What fraction remains undecayed after 24 days?