Q: A sound wave has a frequency of 500 Hz and a wavelength of 0.68 m. What is the speed of sound in the medium?

$$v = f \lambda = 500 \times 0.68 = 340\ \mathrm{m/s}$$

Q: A radioactive isotope has a half-life of 4 hours. If you start with 80 g, how much remains after 12 hours?

$$\text{After 12 hours:}\ 80 \rightarrow 40 \rightarrow 20 \rightarrow 10\ \mathrm{g}$$

Question 1

A car accelerates uniformly from rest to a speed of 20 m/s in 5 seconds. What is the magnitude of its acceleration?

Accepted Answer

$$a = \frac{20}{5} = 4\ \mathrm{m/s^2$}$$

Question 2

Which of the following best describes the energy transformation in a hydroelectric power plant?

Accepted Answer

Potential energy to kinetic energy to electrical energy

Question 3

A ray of light passes from air ($$n=1.00) $$into water ($$n=1.33) at an $$angle of $$30^\circ to $$the normal. What is the angle of refraction in the water?

Accepted Answer

$$n_1$$ \sin \$$theta_1$$ = $$n_2$$ \sin \$$theta_2$$ \Rightarrow \sin \$$theta_2$$ = \frac{$$n_1$$}{$$n_2$$} \sin \$$theta_1$$ = \frac{1.00}{1.33} \sin 30^\circ = 0.376 \Rightarrow \$$theta_2$$ \approx 22^\circ$$

Question 4

Which of the following statements about Newton’s Third Law is correct?

Accepted Answer

For every action, there is an equal and opposite reaction.

Question 5

A 2 kg block is pushed with a force of 10 N on a frictionless surface. What is its acceleration?

Accepted Answer

$$a = \frac{F}{m} = \frac{10}{2} = 5\ \mathrm{m/s^2$}$$

Question 6

Which of the following is the correct formula for the kinetic energy of a moving object?

Accepted Answer

$$KE = \frac{1}{2}mv^2$

Question 7

A sound wave has a frequency of 500 Hz and a wavelength of 0.68 m. What is the speed of sound in the medium?

Accepted Answer

$$v = f \lambda = 500 	imes 0.68 = 340\ \mathrm{m/s}$$

Question 8

Which of the following best describes the Doppler effect?

Accepted Answer

The change in frequency or wavelength of a wave in relation to an observer moving relative to the source.

Question 9

A radioactive isotope has a half-life of 4 hours. If you start with 80 g, how much remains after 12 hours?

Accepted Answer

$$	ext{After 12 hours:}\ 80 ightarrow 40 ightarrow 20 ightarrow 10\ \mathrm{g}$$

Question 10

Which of the following is the correct expression for Ohm’s Law?

Accepted Answer

$$V = IR$$

Question 11

A lens forms a real, inverted image of an object placed outside its focal length. What type of lens is this?

Accepted Answer

Convex lens

Question 12

Which of the following best describes the principle of conservation of energy?

Accepted Answer

Energy cannot be created or destroyed, only transformed from one form to another.

Question 13

A circuit contains a 12 V battery and a 6 Ω resistor. What is the current flowing through the resistor?

Accepted Answer

$$I = \frac{V}{R} = \frac{12}{6} = 2\ \mathrm{A}$$

Question 14

Which of the following is the correct formula for pressure in a fluid at depth $$h$$?

Accepted Answer

$$P = \rho gh$$

Question 15

A wave has an amplitude of 2 cm and a frequency of 10 Hz. What is the period of the wave?

Accepted Answer

$$T = \frac{1}{f} = \frac{1}{10} = 0.1\ \mathrm{s}$$

Question 16

Which of the following best describes the function of a capacitor in an electric circuit?

Accepted Answer

It stores electrical energy.

Question 17

Which of the following is the correct formula for the work done by a constant force $$F$$ over a displacement $$d$$?

Accepted Answer

$$W = Fd$$

Question 18

A radioactive sample decays with a half-life of 6 hours. What fraction of the original sample remains after 18 hours?

Accepted Answer

$$	ext{After 18 hours:}\ 1 ightarrow \frac{1}{2} ightarrow \frac{1}{4} ightarrow \frac{1}{8}$$

Question 19

Which of the following best describes the relationship between electric current and resistance in a conductor?

Accepted Answer

Current is inversely proportional to resistance.

Physics Study Guide for College Admissions Test (IGCSE Level)

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