Govt. Exams
Entrance Exams
Using v² = u² - 2gh, where final velocity v = 0, u = 20 m/s, g = 10 m/s². Therefore, 0 = 400 - 20h, giving h = 20 m.
Velocity is a vector quantity with both magnitude and direction, unlike speed which is scalar. Velocity can be negative, and in circular motion, velocity constantly changes direction.
Water has specific heat capacity of 4186 J/(kg·°C), which is significantly higher than iron (~450), copper (~385), and aluminum (~900). This property makes water excellent for heat absorption and temperature regulation.
Using v² = u² - 2gh, where final velocity v = 0 at maximum height: 0 = (20)² - 2(10)h, so h = 400/20 = 20 m.
Pascal = N/m² = kg/(m·s²) = J/m³. All these expressions are dimensionally equivalent representations of pressure, showing the fundamental relationship between force, area, and SI base units.
In vacuum, acceleration due to gravity is independent of mass. Both bodies experience the same gravitational acceleration (g ≈ 9.8 m/s²) and fall from the same height, so they reach the ground simultaneously.
In uniform circular motion, speed is constant but direction changes continuously. This change in direction causes centripetal acceleration always directed toward the center of the circle.
Pure water at 25°C has a pH of 7, which is neutral. This is because [H⁺] = [OH⁻] = 10⁻⁷ M, making pH = -log(10⁻⁷) = 7.
Photosynthesis is the process where plants use sunlight, water, and CO₂ to produce glucose and oxygen. The equation is 6CO₂ + 6H₂O + light → C₆H₁₂O₆ + 6O₂.
Using v = u + gt, where u = 0 (at rest), t = 2s, g = 10 m/s². Therefore v = 0 + 10 × 2 = 20 m/s.
