A hydraulic lift has area ratio of output to input piston 10:1. Force applied 50 N on input piston lifts weight of MCQ with Answer and Explanation

Explanation:
Distance ≈ 1.5×10¹¹ m, c = 3×10⁸ m/s ⇒ t = 500 s ≈ 8.3 min. Standard astronomical fact. Memory aid: 'Sunlight takes 8 minutes; we see Sun as it was 8 min ago'. Scale knowledge frequently tested in competitive exams.

Explanation:
Impulse = F×Δt, unit N s, same as momentum kg m/s.

Explanation:
Acceleration due to gravity at height h: g' = gR²/(R+h)², where R is Earth's radius. Given h = R, so g' = gR²/(2R)² = gR²/4R² = g/4. This inverse square law dependence arises from Newton's law of gravitation. At depth, variation differs, but for height, this formula applies. Memory aid: Double the distance from center ⇒ gravity becomes one-fourth. This standard result is frequently tested in gravitation sections of competitive exams. Always verify whether height or depth is specified, as formulas differ significantly.