Kinematics
Motion in 1D and 2D, projectile motion and relative motion.
आधिकारिक पाठ्यक्रम में: IAPT — Syllabus for National Standard Examination and Indian National Olympiad in Physics, Chemistry, Biology,…, Astronomy syllabus, Part 1: Physics, Unit II: Motion in a Straight Line; Unit III: Motion in a Plane (29 Sept 2026 को पढ़ा गया).
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NSEA के लिए Kinematics पर 5 अभ्यास प्रश्न, उत्तर सहित
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1.A satellite orbits Earth with a constant speed of 7.8 km/s. Its acceleration is:
- (A)Zero
- (B)Directed towards Earth's center
- (C)Directed away from Earth's center
- (D)Tangent to the orbit
उत्तर और हल देखें
उत्तर: (B) Directed towards Earth's center
हल: Even with constant speed, circular motion involves centripetal acceleration directed towards the center of the orbit, which is Earth's center.
2.A star exhibits proper motion of 0.5 arcseconds per year. If observed for 8 years, what is the total angular displacement?
- (A)2 arcseconds
- (B)4 arcseconds
- (C)6 arcseconds
- (D)8 arcseconds
उत्तर और हल देखें
उत्तर: (B) 4 arcseconds
हल: Total angular displacement = angular velocity × time = 0.5 arcsec/year × 8 years = 4 arcseconds.
3.A meteor enters Earth's atmosphere with an initial velocity of 20 km/s at an angle of 30° to the horizontal. What is the horizontal component of its initial velocity?
- (A)10 km/s
- (B)17.3 km/s
- (C)20 km/s
- (D)15 km/s
उत्तर और हल देखें
उत्तर: (B) 17.3 km/s
हल: The horizontal component is v × cos(30°) = 20 × (√3/2) = 17.3 km/s.
4.A celestial body is observed to move with position given by x = 4t² + 3t + 2 meters, where t is in seconds. What is the instantaneous velocity at t = 3 seconds?
- (A)21 m/s
- (B)24 m/s
- (C)27 m/s
- (D)30 m/s
उत्तर और हल देखें
उत्तर: (C) 27 m/s
हल: Velocity v = dx/dt = 8t + 3. At t = 3 s, v = 8(3) + 3 = 24 + 3 = 27 m/s.
5.The angular velocity of Earth's rotation is approximately:
- (A)7.3 × 10^-5 rad/s
- (B)1.99 × 10^-7 rad/s
- (C)2π rad/s
- (D)1.0 × 10^-3 rad/s
उत्तर और हल देखें
उत्तर: (A) 7.3 × 10^-5 rad/s
हल: Earth completes one rotation (2π radians) in approximately 24 hours (86400 seconds), giving ω = 2π/86400 ≈ 7.3 × 10^-5 rad/s.
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