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Textbook: Science and Technology Part 1 – Class 10 (Balbharati, official free PDF)
Learn how satellites stay in orbit, how rockets like PSLV launch them, and how India reached the Moon and Mars.
When you check the weather on your phone, watch a cricket match live or use Google Maps on a bike ride, a satellite high above the Earth is helping you. Space missions have turned the world into a global village: they carry phone, TV and internet signals, warn us about cyclones, help find minerals and keep watch on our borders.
Space missions are of two kinds. Some place artificial satellites in orbit around the Earth for useful work. Others send spacecraft far away to study the Moon, planets, asteroids and comets. Satellites are grouped by their job — weather, communication, broadcast, navigation, military and Earth observation — and India has its own series like INSAT, GSAT, IRNSS and IRS.
To stay in orbit, a satellite must move sideways with a particular speed called the critical velocity, vc = √(GM/(R+h)). The higher the orbit, the slower the satellite moves and the longer it takes to go round. At about 35,780 km height it takes about 24 hours, so it seems to stand still over one place — a geosynchronous satellite. Orbits are called low, medium or high depending on their height.
Launch vehicles work on Newton's third law: hot gases rush out backwards and push the rocket forwards. Multi-stage rockets like ISRO's PSLV drop empty stages to become lighter. To leave Earth completely, a spacecraft needs at least 11.2 km/s, the escape velocity. With this, India sent Chandrayaan-1, which found water on the Moon, and Mangalyaan, which reached Mars on its first try. Today, growing space debris is a new problem that scientists must solve.
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A satellite orbits 1000 km above the Earth's surface. Find its critical velocity. (G = 6.67 × 10-11 N m2/kg2, M = 6 × 1024 kg, R = 6400 km)
Answer: vc ≈ 7354 m/s ≈ 7.35 km/s
For the satellite in the previous example (h = 1000 km, vc = 7.354 km/s), find the time for one revolution. (π = 3.14)
Answer: T ≈ 6319 s ≈ 105 minutes (about 1 h 45 min) — a typical low Earth orbit period
A planet has mass 6.4 × 1023 kg and radius 3.4 × 106 m. Find the escape velocity on it. (G = 6.67 × 10-11 N m2/kg2)
Answer: vesc ≈ 5.0 km/s (less than Earth's 11.2 km/s because this planet is lighter)
| What | Formula | Symbols |
|---|---|---|
| Centripetal force = gravitational force (satellite in orbit) | mvc2/(R+h) = GMm/(R+h)2 | m = mass of satellite (kg), vc = critical velocity (m/s), M = mass of Earth (6 × 1024 kg), R = radius of Earth (6.4 × 106 m), h = height of satellite (m), G = 6.67 × 10-11 N m2/kg2 |
| Critical (orbital) velocity | vc = √(GM/(R+h)) | vc in m/s; G, M, R, h as above; R + h = radius of the orbit (m) |
| Time period of a satellite | T = 2π(R+h)/vc | T = time for one revolution (s); 2π(R+h) = circumference of the orbit; use the same length unit (m or km) in both numerator and vc |
| Escape velocity | vesc = √(2GM/R) | M = mass of the planet (kg), R = radius of the planet (m); for Earth vesc ≈ 11.2 km/s |
Read the question, answer it in your head, then tap the card to check. 20 cards.
15 questions. Tap an option — you will see at once if it is right and why.
1. Which Indian satellite series is used for Earth observation and resource management?
Answer: C. IRS (Indian Remote Sensing) satellites study land, oceans and natural resources and help in disasters.
2. The first human to travel into space was:
Answer: A. Yuri Gagarin of the USSR orbited the Earth in 1961.
3. The critical velocity of a satellite depends on:
Answer: B. vc = √(GM/(R+h)) contains only Earth's mass and the orbit radius; the satellite's mass cancels.
4. If a satellite is shifted to a higher orbit, its critical velocity:
Answer: D. R + h is in the denominator, so a larger orbit radius gives a smaller velocity.
5. A satellite in Low Earth Orbit takes roughly how long for one revolution?
Answer: A. LEO satellites (180–2000 km high) complete one round in about 90 minutes.
6. Geostationary satellites orbit at a height of about:
Answer: C. At about 35,780 km the period is about 24 h, matching Earth's rotation.
7. Which of these is in Low Earth Orbit?
Answer: B. The Hubble telescope and the ISS both revolve in Low Earth Orbit.
8. The working of a satellite launch vehicle is based on:
Answer: D. Hot gases are pushed backward and the reaction force pushes the rocket forward.
9. What is the main benefit of a multi-stage launch vehicle?
Answer: A. Each empty stage is thrown away, so the remaining vehicle is lighter and can reach higher speed.
10. Planet X has 9 times Earth's mass and 4 times Earth's radius. Its escape velocity is (Earth = 11.2 km/s):
Answer: C. vesc ∝ √(M/R) = √(9/4) = 1.5, so 1.5 × 11.2 = 16.8 km/s.
11. A satellite at height h = 6400 km (equal to Earth's radius) has critical velocity (v0 = orbital speed just above Earth's surface):
Answer: B. Orbit radius becomes 2R, and vc ∝ 1/√(R+h), so v = v0/√2.
12. Which mission first discovered water on the Moon's surface?
Answer: D. ISRO's Chandrayaan-1 (2008) found water on the lunar surface; India was the first to discover it.
13. Which statement about escape velocity is correct?
Answer: A. vesc = √(2GM/R); the Moon's much smaller mass gives a lower value. It does not depend on the spacecraft's mass.
14. India's first satellite launch centre was set up in 1963 at:
Answer: B. Under Vikram Sarabhai's leadership the first launch centre was set up at Thumba near Thiruvananthapuram.
15. A satellite moves in a circular orbit of radius 8000 km at 7 km/s. The time for one revolution is closest to: (π = 3.14)
Answer: D. T = 2πr/v = 2 × 3.14 × 8000 / 7 = 50240 / 7 ≈ 7177 s (about 2 hours).
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