A simple pendulum of length L has period T. If length is increased by 4 times, new period is MCQ with Answer and Explanation

Explanation:
Protium (¹H), Deuterium (²H), Tritium (³H) are all isotopes of hydrogen, differing in neutron number.

Explanation:
Total time of flight T = 2u/g => u = gT/2 = 10×6/2 = 30 m/s. Max height H = u²/(2g) = 900/20 = 45 m. Alternatively, time to max height = 3 s, H = ½g t² = ½×10×9 = 45 m.

Explanation:
The relationship between kinetic energy (K) and momentum (p) is K = p² / 2m. If K is increased by 300%, the new kinetic energy K' = K + 3K = 4K. Since p = √(2mK), the new momentum p' = √(2m × 4K) = 2√(2mK) = 2p. The momentum has doubled. Percentage increase = [(2p - p)/p] × 100 = 100%.