If momentum of a body increases by 100%, kinetic energy increases by MCQ with Answer and Explanation

Explanation:
Energy stored in capacitor U = ½CV² = ½QV = Q²/(2C). This derives from work done to charge the capacitor against increasing voltage. Option A has wrong dimensions (energy should be joules, CV is coulomb-volt = joule, but missing factor ½); C and D are dimensionally incorrect. Memory tip: 'Capacitor energy = ½CV², analogous to spring energy ½kx²'. This formula-based question tests electrostatics knowledge, frequently appearing in competitive exams. Always recall the three equivalent forms and choose based on given quantities.

Explanation:
β ∝ 1/d. If d' = 2d, β' = β/2. Fringe width decreases with increased slit separation. Memory aid: 'β ∝ 1/d; wider slit separation ⇒ narrower fringes'. Wave optics proportionality frequently tested in competitive exams.

Explanation:
For a body at rest, displacement remains constant over time. The displacement-time graph is a horizontal line, parallel to time axis, indicating zero slope (velocity = 0). Option A indicates constant velocity. Option B (velocity-time zero slope) means constant velocity, not necessarily rest (could be constant non-zero velocity). Option D indicates acceleration. So C is correct.