Loudness correlates with intensity, which is proportional to square of amplitude. Frequency determines pitch. Larger amplitude → louder sound. Measured in decibels.
Explanation:
Torque τ = r×F: [L][MLT⁻²] = [ML²T⁻²]. Work W = F·d: same dimensions. Physically distinct: torque (vector, rotational), work (scalar, energy). Memory tip: 'Torque and work: same [ML²T⁻²]; different physical meaning'. Dimensional analysis frequently tested in competitive exams.
Explanation:
T = 2π√(m/k): depends on mass and spring constant only, not gravity. Weightlessness doesn't affect spring force. Memory aid: 'Spring period: independent of g; pendulum period: depends on g'. Oscillations concept frequently tested in competitive exams.
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