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CIE iGCSE Co-Ordinated Science P6.2.1 The Sun as a star Exam Style Questions Paper 2

Question

A moon that orbits a planet has an orbit radius of \(9.4 \times 10^6 \, \text{m}\) and an orbital period of \(7.7 \, \text{hours}\).

What is the orbital speed of this moon?

A. \(6.8 \times 10^2 \, \text{m/s}\)
B. \(2.1 \times 10^3 \, \text{m/s}\)
C. \(1.3 \times 10^5 \, \text{m/s}\)
D. \(1.6 \times 10^{12} \, \text{m/s}\)

▶️ Answer/Explanation
Orbital speed is calculated using \(v = \frac{2\pi r}{T}\). First, convert the orbital period from hours to seconds: \(7.7 \, \text{hours} \times 3600 \, \text{s/hour} = 27720 \, \text{s}\). Substituting the values: \(v = \frac{2\pi (9.4 \times 10^6)}{27720} \approx \frac{5.905 \times 10^7}{27720} \approx 2.13 \times 10^3 \, \text{m/s}\). This rounds to \(2.1 \times 10^3 \, \text{m/s}\).
Answer: (B)

Question

In the Solar System, a planet orbits around the Sun. The radius of the orbit is \(r\) and the orbital period is \(T\).

Which equation gives the orbital speed \(v\)?

A. \(v = \frac{2\pi T}{r}\)
B. \(v = \frac{r}{2\pi T}\)
C. \(v = \frac{2\pi r}{T}\)
D. \(v = \frac{2\pi}{rT}\)

▶️ Answer/Explanation
For a planet in a circular orbit, the distance travelled in one complete orbit is the circumference \(2\pi r\). Speed is distance divided by time, so \(v = \frac{2\pi r}{T}\). Option C correctly shows this relationship.
Answer: (C)

Question 

What is the name of the process by which energy is released in the Sun?

A. background radiation
B. chemical reaction
C. nuclear fission
D. nuclear fusion

▶️Answer/Explanation

Answer: D. nuclear fusion

Explanation: The Sun releases energy through the process of nuclear fusion, where hydrogen nuclei combine to form helium, releasing a tremendous amount of energy in the process.

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